Professor Akif Ibragimov

Department of Mathematics and Statistics
Texas Tech University
Box 41042
Lubbock, TX 79409-1042

Office: MA 233
Phone: (806) 834-4501
Fax: (806) 742-1112
Email address: akif(dot)ibraguimov(at)ttu(dot)edu
Webpage: http://www.math.ttu.edu/~aibragui/


RESUME

Education

Doctor of Science, Steklov Mathematical Institute, Moscow, 1985.

Major: Mathematics, Differential Equations

Dissertation Title: Qualitative Theory of Parabolic and Elliptic Equations

Professional Positions

Academic - Higher Education

Industry


TEACHING

Teaching Experience

Texas Tech University

Directed Student Learning

Doctoral Chair/Co-Chair: Last 10 years: Brenton Callaway(2005), Tate, Kevin Nicholas(2006), Jean, Larry Wen-Lei (2006), Amao, Abiodun(2007), Mishra, Abhinav(2007), Cacmack, Adem, (2008). Kaya, Jasamen (2010), Bloshanskaya, Lidya(2012), Pinnawala, Gunatilake (2012), Anna Krylova (2014).

Graduated Students

A. A. Aliev (Azerbaijan Academy of Science ) (graduated in 1985), M. Aliev (Azerbaijan Academy of Science ) (graduated in 1988), F. Aliev (Azerbaijan Academy of Science ) (graduated in 1987), Y. Alhutov (Azerbaijan Academy of Science) (graduated in 1982), Vladimir Umansky (graduated in 1988)L. Sidorov (Russian Academy of Science) (graduated 1997), M. Baganova (Russian Academy of Science) (graduated 1999), D. Kalmanova ( Texas A&M University)(graduated 2003),Dinara Kalmanova (2004) , A. Cacmak (Texas Tech University) (graduated 2009), Y. Kaya (Texas Tech University) (graduated 2011), L. Bloshanskya (Texas Tech University (2013)),A. Aliev (Azerbaijan Academy of Science ) (graduated in 1985), M. Aliev (Azerbaijan Academy of Science ) (graduated in 1988), F. Aliev (Azerbaijan Academy of Science ) (graduated in 1987), Y. Alhutov (Azerbaijan Academy of Science) (graduated in 1982), Vladimir Umansky (graduated in 1988)L. Sidorov (Russian Academy of Science) (graduated 1997) M. Baganova (Russian Academy of Science) (graduated 1999), D. Kalmanova ( Texas A&M University)(graduated 2003),Dinara Kalmanova (2004) , A. Aliev (Azerbaijan Academy of Science ) (graduated in 1985), M. Aliev (Azerbaijan Academy of Science ) (graduated in 1988), F. Aliev (Azerbaijan Academy of Science ) (graduated in 1987), Y. Alhutov (Azerbaijan Academy of Science) (graduated in 1982), Vladimir Umansky (graduated in 1988)L. Sidorov (Russian Academy of Science) (graduated 1997) M. Baganova (Russian Academy of Science) (graduated 1999), D. Kalmanova ( Texas A&M University)(graduated 2003),Dinara Kalmanova (2004) , A. Cacmak (Texas Tech University) (graduated 2009), Y. Kaya (Texas Tech University) (graduated 2011), L. Bloshanskya (Texas Tech University (2013))


RESEARCH

Journal Article, Academic Journal

  1. Ibragimov, A.I., Mamedov I.T.(1972) On some convergence tests for numerical series.(O nekotorih kriteriah shodimosty ryadov ) ( Russian), Proceedings (Uchenie Zapiski,) Azerbaijan State Oil Academy (former AZINEFTEHIM), Baku, 1972, v. IX. n.5,pp.47-53 .
  2. Ibragimov, A.I., Mamedov I.T.(1973) On approximation of the functions by derivatives of the linear positive operators. (Ob priblizenii funkcii proizvodnimi lineinih polozitelnih operatorov) ( Russian), Proceedings (Uchenie Zapiski,) Azerbaijan State Oil Academy (former AZINEFTEHIM), Baku, 1973, n.5,pp.55-58.
  3. Ibragimov, A.I., Mamedov I.T.(1973) Asymptotic value of the derivatives of the differentiable functions by derivatives of the linear positive operators. (Assimptoticheskoe znachenie priblizenii proizvodnimi dnih diffeenciruemix funkcii proizvodnimi polozitelnih leneinih operatorov) ( Russian), Proceedings (Uchenie Zapiski,) Azerbaijan State Oil Academy (former AZINEFTEHIM), Baku, 1973, n.7,pp. 58-65.
  4. Ibragimov, A. I. The behavior on the boundary of the solutions of a degenerate second order elliptic equation. (Russian) Dokl. Akad. Nauk SSSR 224 (1975), no. 3, 519-522.
  5. Ibragimov, A. I. The regularity of boundary points for the solution of a quasilinear elliptic equation that is degenerate on the boundary of the domain. (Russian) Differencial'nye Uravnenija 12 (1976), no. 10, 1815-1823, 1918.
  6. Ibragimov, A. I. The behavior at the boundary of the solution of a second order linear degenerate equation with continuous coefficients. (Russian) Dokl. Akad. Nauk SSSR 233 (1977), no. 3, 281-284.
  7. Ibragimov, A. I.; Novruzov, A. A. The criterion of regularity of a boundary point for quasilinear parabolic equations. (Russian) Dokl. Akad. Nauk SSSR 244 (1979), no. 1, 29-32.
  8. Ibragimov, A. I. Behavior in the neighborhood of boundary points and theorems on removable sets for second-order elliptic equations with continuous coefficients. (Russian) Dokl. Akad. Nauk SSSR 250 (1980), no. 1, 25-28.
  9. Ibragimov, A. I. On some qualitative properties of solutions of second-order equations of parabolic type with continuous coefficients. (Russian) Differentsialnye Uravneniya 18 (1982), no. 2, 306-319, 366.
  10. Ibragimov, A. I.; Novruzov, A. A. Behavior in the neighborhood of a boundary point of the solutions of second-order degenerate parabolic equations for the Zaremba problem. (Russian) Dokl. Akad. Nauk SSSR 267 (1982), no. 5, 1046-1048.
  11. Ibragimov, A. I. Some qualitative properties of solutions of a mixed problem for elliptic equations in nonsmooth domains. (Russian) Dokl. Akad. Nauk SSSR 265 (1982), no. 1, 27-31.
  12. Ibragimov, A. I. Behavior of the solution of a second-order equation of elliptic type in the neighborhood of a boundary point. (Russian) Akad. Nauk Azerbaĭdzhan. SSR Dokl. 38 (1982), no. 12, 6-9.
  13. Ibragimov, A. I. Solvability of a mixed problem for second-order elliptic equations. (Russian) Differentsial'nye Uravneniya 19 (1983), no. 1, 56-65, 180.
  14. Ibragimov, A. I. Some qualitative theorems for degenerate elliptic equations. (Russian) Mat. Zametki 34 (1983), no. 3, 407-416,
  15. Ibragimov, A. I. On the solvability of a mixed problem for second-order elliptic equations. (Russian) Dokl. Akad. Nauk SSSR 273 (1983), no. 6, 1305-1307.
  16. Ibragimov, A. I. Some qualitative properties of solutions of elliptic equations with continuous coefficients. (Russian) Mat. Sb. (N.S.) 121(163) (1983), no. 4, 454-468.
  17. Ibragimov, A. I. Some qualitative properties of solutions of a mixed problem for equations of elliptic type. (Russian) Mat. Sb. (N.S.) 122(164) (1983), no. 2, 168-181.
  18. Ibragimov, A. I. Behavior of the solution of a mixed problem in the neighborhood of a boundary point. (Russian) Izv. Akad. Nauk Azerbaĭdzhan. SSR Ser. Fiz.-Tekhn. Mat. Nauk 4 (1983), no. 4, 27-31.
  19. Ibragimov, A. I.; Landis, E. M. Trichotomy of solutions of the Neumann problem for the Laplace equation. (Russian) Dokl. Akad. Nauk SSSR 275 (1984), no. 4, 783-786.
  20. Landis, E. M.; Ibragimov, A. I. The Neumann problem for elliptic second-order equations in unbounded domains. (Russian) Functional and numerical methods in mathematical physics (Russian), 124-127, 269, Naukova Dumka'', Kiev, 1988,
  21. Ibragimov, A.I. On a behavior of the solution at finite point and at the infinity, In the book, Qualitative Theory of Boundary Problems in Mathematical Physics, (Russian), Baku, Azerbaijan Academy of Science, 1991, pp 177-198
  22. Dmitriev, N.M., Ibragimov A.I. Hayrulina Experimental calculation characteristic volume of the fraction, (Russian) Proceeding of the conference, Moscow, Institute of the Problems of Oil and Gas, USSR, 1991, 12 pp
  23. Dmitriev N.M., Ibragimov A.I., Hayrulina Estimates of the characteristic volume of the fraction using permeability(Russian), Special issue of Gazprom, 1991, 8, 10 pp
  24. Ibragimov, A. I.; Landis, E. M.(1996) On the behavior of solutions to the Neumann problem in unbounded domains, (Russian) Trudy seminara im.I.G.Petrovskogo, 1996, v.19, p.218-234
  25. Ibragimov A.I , Landis E.M. On Zaremba Problem(Russian), 51:5 (311) (1996), 205
  26. Landis, E. M.; Ibragimov, A. I. Neumann problems in unbounded domains. (Russian) Dokl. Akad. Nauk 343 (1995), no. 1, 17-18
  27. Baganova, M. N.; Ibragimov, A. I. The Study of the process of filtration of elastic fluids by the methods of heat potential, (Russian) Jucutsky Mathematical Journal, 1996, No 1, 109-121.
  28. A.I. Ibragimov, M.N. Baganova, A. Nekrasov On Analog of the Schwartz Method for the construction of Green's function for mixed boundary value problem defined for the Second order parabolic and elliptic equation.(Russian), Proceeding of Intrernational conference devoted to 175th anniversary of Chebishev, Moscow State University, June 1996, 125-129
  29. Baganova, M. N.; Ibragimov, A. I. On an alternating method for solving a nonstationary filtration problem in domains of complicated form. (Russian) Vychisl. Tekhnol. 1 (1996), no. 1, 5-12 (1997)
  30. D. M. Antipov, A I Ibragimov, M. B. Panfilov, Model of coupled fluid flow in a reservoir and inside a horizontal well, Fluid Dynamics Volume 31, Number 5, 718-723, DOI: 10.1007/BF02078224 Fluid Dynamics (1996)
  31. Ibragimov, A. I.; Landis, E. M., On the behavior of solutions of the Neumann problem in unbounded domains.  J. Math. Sci. (New York) 85 (1997), no. 6, 2373-2384.
  32. A.I. Ibragimov, M.N. Baganova, A. Nekrasov, Predicting Productivity of the Horizontal Well Inside Limited Reservoirs, proceedings of 9th European Symposium on Improved Oil Recovery,Session: Reservoir ManagementPublication date: 20 October 1997.
  33. A. I. Ibragimov, M. N. Baganova, A. A. Nekrasov, Stationary And Non-stationary Flow of Fluid In a Limited Reservoir And Inside Horizontal Well, Proceeding, Annual Technical Meeting, Jun 8 - 11, 1997 , Calgary, Alberta
  34. Ibragimov, A. I., Nekrasov, A. A., 3D Development Modeling of Gas Fields with Horizontal Wells. Gas Industry, July,(1997) 89-91.
  35. Ibragimov A.I, Landis E.M., On the behavior at infinity of the solution of paraboilque equation in unbounded domain,(Russian) 53:4 (1998), 182
  36. Ibragimov, A. I.; Nekrasov, A. A., An analogue of the Schwarz method for solving the Zaremba problem, and its application in underground hydromechanics. (Russian) Zh. Vychisl. Mat. Mat. Fiz. 38 (1998), no. 1, 150--156; translation in Comput. Math. Math. Phys. 38 (1998), no. 1, 146-152.
  37. Baganova, M. N.; Ibragimov, A. I., Mathematical Simulation of the Oil and Gasz Fields Development with Horizontal and Slanting Wells. (Russian), Gas Industry,January, (1998),(30-32).
  38. Ibragimov, A. I.; Nekrasov, A. A., An analogue of Schwartz's method for the construction of the Green function of the Zaremba problem and its application in underground hydrodynamics. Recent advances in problems of flow and transport in porous media (Marrakech, 1996), 31-41, Theory Appl. Transp. Porous Media, 11, Kluwer Acad. Publ., Dordrecht, 1998
  39. Ibragimov, A. I.; Landis, E. M., Zaremba's problem for elliptic equations in the neighborhood of a singular point or in the infinity. I.Appl. Anal. 67 (1997),269-282
  40. Landis, E. M.; Ibragimov, A. I., Behavior of the solution of a mixed problem for elliptic equations in neighborhoods of a singular point and at infinity. (Russian) Dokl. Akad. Nauk 359 (1998), no. 1, 19-20
  41. Ibragimov, A. I.; Landis, E. M., On behavior at infinity of solutions of mixed problem for parabolic equa- tions in unbounded domains , Uspekhy Mat Nauk, 3, 1998, 345.
  42. Ibragimov, A. I.; Landis, E. M., Zaremba's problem for elliptic equations in the neighborhood of a singular point or in the infinity. II. Appl. Anal. 69 (1998), no. 3-4, 333-347
  43. Ibragimov, A.; Ilyashenko, Yu.; Kondratiev, V. Evgenii Mikhailovich Landis (1921-1997). Appl. Anal. 71 (1999), no. 1-4, 9-23
  44. A. I. Ibragimov, M. N. Baganova, A. A., Nekrasov Domain Decomposition Methods and Their Application to Modeling of the Performance of Horizontal and Slanting Wells in the Anisotropic Reservoirs, Proceedings, SPE Reservoir Simulation Symposium, 14-17 February 1999, Houston, Texas
  45. Ibragimov, A.I. Baganova, M.N., Nekrasov, A.A., Stationary and Non-stationary Flow of Fluid in a Limited Towards Horizontal and Slanting Wells, JCPT 97-132, Special Volume, Horizontal Technology 38 (1999).45.
  46. A. I. Ibragimov, M. N. Baganova, A. A., Nekrasov Analytical and Numerical Study of stationary and non-stationary flow of fluid in the limited reservoir towards smart well. Modern Approaches to Flows in Porous Media, International Conference dedicated to P.Y.Polubarinova Kochina, Moscow, (1999), September, 77-80
  47. Ibragimov A.I.,and Sidorov L.V., The influence Sub-Layer with High Permeability on Edge-Water Encroachment, Gas Industry, (Russian), October, (1997), 26-30.
  48. Ibragimov A.I,. Levin M.P., and Sidorov L.V., Numerical investigation of high permeability thin layers influence on water filling of horizontal wells by quasi-characteristics scheme. - In: Computational Fluid Dynamics Journal, vol. 9, N 2, 2000, pp.105-109.
  49. Ibragimov A.I., Levin M.P., and Sidorov L.V., Numerical investigation of two-phase fluid afflux to horizontal well by quasi-characteristics scheme. - In: Computational Fluid Dynamics Journal, vol. 8, N 4, 2000, pp.556-560.
  50. Ibragimov A.I., Levin M.P., and Sidorov L.V., Application of quasi-characteristics scheme to numerical simulation of two-phase fluid afflux to horizontal well. In: The Eighth International Conference on Hyperbolic Problems: Theory, Numerics, Application; University of Magdeburg, Magdeburg, Germany, February 28 - March 3, 2000; Book of Abstracts, pp. 214-217.
  51. Richard Ewing, Akif Ibragimov, Raycho Lazarov, 3-D Simulation of the Pressure Drop along Horizontal Wells in a Bounded Reservoir, Proceedings, SPE/Petroleum Society of CIM 65505(2000) DOI: 10.2118/65505-MS , (2000)
  52. A. I. Ibragimov and M. N. Baganova, Study of transient flow filtration towards a single horizontal well, in Fundamental Bases of New Technologies in Oil and Gas Industry, Nauka, Moscow, 2000, pp. 192-198.
  53. A. Ibragimov and P. Valko, On productivity index in pseudo-steady and boundary dominated flow regimes, Technical report, Institute of Scientific Computations, 2000;, also available online from http://www.isc.tamu.edu/iscpubs/iscreports.html.
  54. R.E. Ewing, A. Ibragimov, and R.D. Lazarov, Domain decomposition algorithm and analytical simulation of coupled flow in reservoir/well system, J. KSIAM , 5 (2) (2001), 71-99
  55. Verma, A. Ibragimov, A., Ramachandran, S. and Mayer, R., Wavelet Based Neural Net Application for FeatureDetection and Classification, Second International Workshop on Intelligent Systems Design and Applications (ISDA2002), Atlanta, GA, Aug 7-8, 2002.
  56. Verma, A., Ibragimov, I.,, Mayer, R., An Approach for Corrosion Classification Based on Wavelet Analysis, Tri-Service Corrosion Conference, San-Antonio, January 14-18, 2002
  57. Richard Mayer, Kumar V. Akella, Akif Ibragimov, Paul Koola, M.Sunkara, R. Bardsley, Crevice Corrosion Mitigation Using Impressed Currents,Academia, Government, and Industry, Proceedings, Tri - Service Corrosion Conference, Las-Vegas, 2003.pp 198-209
  58. Richard J. Mayer, Kumar V. Akella, Akif Ibragimov, Mark Garner, Robert Bardsley, Corrosion and Paint Breach Detection Using an NDI-Based Approach,Academia, Government, and Industry, Proceedings, Tri - Service Corrosion Conference, Las-Vegas, 2003, pp 98-111
  59. Paul Mario Koola, Akif lbragimov, The dynamics of Wave Carpet - A novel deep water wave energy design, Oceans 2003, http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=1282849
  60. Verma, Ajay; Ibragimov, Akif; Ramachandran, Satheesh, Wavelet-based neural net application for feature detection and classification. Advances in intelligent systems and applications. Neural Parallel Sci. Comput. 11 (2003), no. 1-2, 19-40
  61. Ibragimov, Akif; Khalmanova, Dinara; Valko, Peter P.; Walton, Jay R., Analytical Method of Evaluating Productivity Index for Constant Production Rate or Constant Wellbore Pressure, SPE 89935, Annual Technical Conference and Exhibition, 26-29 September 2004, Houston, Texas,
  62. A. Ibragimov, P.Koola, Wave carpet simulation using coupled Hydro-Elastic FEMLAB model, Proceeding of the COMSOL Multiphysics User's Conference, Boston, 2005, 6 pp.
  63. Ibragimov, Akif; Khalmanova, Dinara; Valko, Peter P.; Walton, Jay R., On a mathematical model of the productivity index of a well from reservoir engineering. SIAM J. Appl. Math. 65 (2005), no. 6, 1952-1980
  64. A.I. Ibragimov, C.J. McNeal,.Ritter, L and J.R. Walton, A Mathematical Model of Atherogenesis as an Inflammatory Response; Math. Med. Biol. , 22 (2005), pp. 305-333
  65. Aulisa, E., Ibraguimov, A., Valko, P., Walton, J. R., Mathematical Frame-work for the Productivity Index of Wells with Fast Forchheimer (non-Darcy) Flow in Porous Media, Proceeding COMSOL Multiphysics, 2006, October, Boston.
  66. Ibragimov, A. I.; McNeal, C. J.; Ritter, L. R.; Walton, J. R., A dynamic model of atherogenesis as an inflammatory response. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 14 (2007), Advances in Dynamical Systems, suppl. S2, 185-189
  67. Aulisa, E., Cakmak, A., Ibraguimov, A., Solynin, A., Variational principle and steady state invariants for non-linear hydrodynamic interactions in porous media. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal., Advances in Dynamical Systems, suppl. S2, 14, 148-155. www.watam.org/
  68. Aulisa, E., Ibraguimov, A., Valko, P., Walton, J. R.A, New Method of Evaluating the Productivity Index for Nonlinear Flows, SPE 108984, Proceedings, SPE Annual Technical Conference and Exhibition, 11-14 November 2007, Anaheim, California, ISBN978-1-55563-148-2 , 12 pp.
  69. Ibragimov, A. I.; McNeal, C. J.; Ritter, L. R.; Walton, J. R., Stability analysis of a model of atherogenesis: an energy estimate approach. Comput. Math. Methods Med. 9 (2008), no. 2, 121-142. http://www.hindawi.com/journals/cmmm/2008/701796/abs/
  70. Brice T. Hughes,Jordan M. Berg, Darryl L. James, Akif Ibraguimov, Shaorong Liu, Henryk Temkin, One-dimensional axial simulation of electric double layer overlap effects in devices combining micro- and nanochannels, Microfluidics and Nanofluidics, Volume,5, issue 6, 761-773.
  71. Ibraguimov, A. Ritter, L., Walton, J., Mcneal, (2009) Stability Analyzes Using an Energy Estimate Approach of a Reaction-Diffusion Equation,. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS(Supplement), 630-639. http://aimsciences.org/journals/pdfs.jsp?paperID=4666&mode=full
  72. Aulisa, E., Ibraguimov, A., Valko, P., Walton, J. R., (2009) Mathematical Framework of the Well Productivity Index for Fast Forchheimer. Mathematical Models and Methods in Applied Sciences, 19(8), 1241-1275.
  73. Aulisa, E., Bloshanskaya, L., Hoang, L., Ibraguimov, A., (2009) Analysis of generalized Forchheimer flows of compressible fluids in porous media. Journal of Mathematical Physisc, 50(on-line). jmp.aip.org/jmp
  74. Aulisa, E., Ibraguimov, A., Walton, J. R., A new method of evaluating the productivity index for non-linear flows.. SPE Journal, 14(4), 693-706.
  75. Aulisa, E., Kaya, E., Ibraguimov, A., Seshaiyer, P. (2009). A Stability Estimate for Fluid Structure Interaction Problem with Non-Linear Beam. Discrete and Continuous Dynamical System, Supplement , 424-432.
  76. Ibraguimov, A., Ritter, L., Walton, J., Mcneal, C. (2010). Stability analysis of a model of atherogenesis: An energy estimate approach II. J. of Comp. and Math. Meth. in Med., 11(1),(1), 67-88.
  77. Ibraguimov, A., Ritter, L., Walton, J (2010). Stability Analysis of a Reaction-Diffusion System Modeling Atherogenesis. SIAM J. Appl. Math., 70, 2150-2185. //dx.doi.org/10.1137/08073490X
  78. Aulisa, E., Ibraguimov, A., Toda, M., (2010). Geometric Framework for Modeling Nonlinear Flows in Porous Media, and Its Applications in Engineering.. Journal of Non-linear Analysis, 11(3), 1734-1751. www.sciencedirect.com/
  79. Aulisa, E., Kaya, E., Ibraguimov, A., Seshaiyer, P. (2011) Stability analysis of inhomogeneous equilibrium for axially and transversely excited nonlinear beam. Communications on Pure and Applied Analysis,10(5), 1447-1462
  80. Aulisa, E., Kaya, E., Ibraguimov, A., Seshaiyer, P. (2011). Fluid structure interaction problem with changing thickness non-linear beam (vol. supplement 2011, pp. 813-824). Dynamical Systems and Differential Equations, DCDS Supplement.
  81. Aulisa, E., Ibraguimov, A., Toda, M. (2011). Geometric Methods in the Analysis of Non-Linear Flows in Porous Media. Contemporary Mathematics AMS - Special Issue in Honor of Shubin, 535, 27-42
  82. Hoang, L, Ibraguimov, A. (2011) Structural stability of generalized Forchheimer equations for compressible fluids in porus media, Nonlinearity, Volume 24, Number 1 / January, 1-41. (doi: 10.1088/0951-7715/24/1/001).
  83. Aulisa, E., Bloshanskaya, L., Ibraguimov, A. (2011). Long-term Dynamics for Well Productivity Index for Nonlinear Flows in Porous Media. Journal of Mathematical Physics, 52(doi:10.1063/1.3536463).
  84. Hoang, L, Ibraguimov, A., (2012) Qualitative study of generalized Forchheimer flows with flux boundary condition, Advances in Differential Equations, Volume 17, Number 5-6 May/June, 511-556.
  85. Ibraguimov, A., Ritter, L., Walton, J., McNeal, C., (2012). Illuminating Atherogenesis Through Mathematical Modeling. Atherogenesis (pp. 49-70). Atherogenesis, ISBN: 978-953-307-992-9
  86. Aulisa, E., Bloshanskaya, L., Ibraguimov, A. (2012). The time asymptotic of non-Darcy flows controlled by total flux,PMA (Problems in Mathematical Analysis) and JMS(N.Y)(Journal of Mathematical Science, New York, Springer), Vol. 184, No. 4, July, 2012, 399-430
  87. Stability of solutions to generalized Forchheimer equations of any degree, (with Luan Hoang, Thinh Kieu, Zeev Sobol), 2012, 63pp, submitted for publication. (IMA Reprint)
  88. A. Ibraguimov, L. Owens, J. Su, and L. Tang, (2012) Stability Analysis of a Model for Foreign Body Fibrotic Reactions, Computational and Mathematical Methods in MedicineVolume 2012 , Article ID 809864, 11 pages, doi:10.1155/2012/809864
  89. L. Hoang, A. Ibragimov T. Kieu (2013) One-dimensional two-phase generalized Forchheimer flows of incompressible fluids, (2013),J. Math. Anal. Appln., Volume 401, Issue 2, 15 May 2013, 921-938. (doi:10.1016/j.jmaa.2012.12.055). [IMA Preprint]
  90. E. Aulisa, A.Ibragimov, E.Y.Kaya-Cekin (2013) Stability Analysis of non-linear plates coupled with Darcy flows, Evolution Equation and Control Theory, Volume 2, N 2, June 2013,193-232.
  91. Himali Somaweera, Akif Ibragimov; and Dimitri Pappa,(2013) Generation of a chemical gradient across an array of 256 cell cultures in a single chip , Analyst, 2013,138, 5566-5571,DOI: 10.1039/C3AN00946G
  92. Jichen Yang, Jianzhong Su, Larrissa Owens, Akif Ibraguimov, Liping Tang,(2013) A computational model of fibroblast and macrophage spatial/temporal dynamics in foreign body reactions, Journal of Immunological Methods, August 2013
  93. L. R Ritter, S Zhang, A. Ibragimov (2013) Foam cell formation in atherosclerosis: HDL and macrophage reverse cholesterol transport, Discrete and Continuous Dynamical Systems, Supplement 2013, pp 825-835
  94. L. Hoang, A. Ibragimov T. Kieu (2013) A Family of Steady Two-Phase Generalized Forchheimer Flows and Thier Linear Stability Analysis , (2013), arXiv:1310.5723v{math.AP], 21 Oct 2013
  95. E. Aulisa, A.Ibragimov, E.Y.Kaya-Cekin (2014) Fluid Structure Interaction Problem with Changing Thickness Beam and Slightly Compressible Fluid, - Series S 12/2014; 7(6).
  96. P.D. Dasgupta ,R.P. Bhawal ,YH.A Li . Ibraguimov (2014) Cavity-Enhanced Absorption Measurements Across Broad Absorbance and Reflectivity Ranges Analytical Chemistry (Impact Factor: 5.7). 01/2014; 86:3727-3734. DOI: 10.1021/ac404251w
  97. E. Aulisa, L. Bloshanskaya, Y. Efendiev, Akif Ibragimov (2014) Upscaling of Forchheimer flows, Advances in Water Resources Volume 70, August 2014, Pages 7788
  98. A.Ibragimov, T.Kieu (2014) The Expanded Mixed Finite Element Method For Generalized Forchheimer Flows in Prous Media, arXiv:1409.8274v1{math.NA], 27 Sep 2014
  99. L. Hoang, A. Ibragimov T. Kieu A Family of Steady Two-Phase Generalized Forchheimer Flows and Thier Linear Stability Analysis , J. Math. Phys. 55, 123101:32pp (2014)
  100. Fahd Siddiqui,Haputhanthri, Shehan Haputhanthri, Shehan Haputhanthri, Shehan Mohamed Y Soliman, Waylon House, Akif Ibragimov, Pre-Darcy Flow Revisited Under Experimental Investigation, Journal of Petroleum Science and Engineering, submitted (2015)
  101. D. Papas, H. Somaweera, A. Ibragimov, S. Haputhanthri(2015) On-Chip Gradient Generation in 256 Microfluidic Cell Cultures: Simulation and Experimental Validation, J. Analyst, 2015,140,5029-5038
  102. Stability of solutions to generalized Forchheimer equations of any degree, (with Akif Ibragimov, Thinh Kieu, Zeev Sobol,) Journal of Mathematical Sciences (via journal "Problems in Mathematical Analysis"), Volume 210, Number 4 (2015), 476-544
  103. Dimitri Pappas, Himali Somaweera, Akif Ibraguimov (2015) A Review of Microfluidic Spatial Gradient Systems and Biological Applications, Analytica Chimica Acta, Submited for publication
  104. E. Aulisa, L. Bloshanskaya, Akif Ibragimov (2015) Well Productivity Index for Compressible Fluids and Gases,(http://arxiv.org/abs/1509.04794) Submited for publication
  105. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
  106. Fahd Siddiqui , Shehan Mohamed Y Soliman, Waylon House, Akif Ibragimov, Pre-Darcy Flow Revisited Under Experimental Investigation, Journal of Petroleum & Environmental Biotechnology6.6 (2015): 1-5.
  107. D. Papas, H. Somaweera, A. Ibragimov, S. Haputhanthri, On-Chip Gradient Generation in 256 Microfluidic Cell Cultures: Simulation and Experimental Validation, J. Analyst, 2015,140,5029-5038
  108. Ibragimov, A, Hoang, L, Kieu, T, Sobol, Z. Stability of solutions to generalized Forchheimer equations of any degree, Journal of Mathematical Sciences (via journal "Problems in Mathematical Analysis", Volume 210, Number 4 (2015), 476-544
  109. A.Ibragimov, T.Kieu The Expanded Mixed Finite Element Method For Generalized Forchheimer Flows in Porous Media, Computers and Mathematics with Applications, in July, 2016
  110. E. Aulisa, L. Bloshanskaya, Akif Ibragimov (2015) Well Productivity Index for Compressible Fluids and Gases Evolution Equations and Control Theory (EECT), Vol. 5(1), pp. 1-36, March 2016.
  111. Lidia Bloshanskaya, Akif Ibragimov, Fahd Siddiqui, Mohamed Y Soliman Productivity Index for Darcy and pre-/post-Darcy Flow (Analytical Approach), 2016, accepted for publication, Transport in Porous Media.
  112. Fahd Siddiqui , Mohamed Y. Soliman, Waylon House Akif Ibragimov, Pre-Darcy flow revisited under experimental investigation, Journal of Analytical Science and Technology, 2016, 7:2
  113. Himali Somaweera, Akif Ibraguimov, Dimitri Pappas A review of chemical gradient systems for cell analysis, Analytica Chimica Acta,(Impact factor 4.841) Volume 907, 11 February 2016, Pages 7-17.
  114. Fahd Siddiqui , Mohamed Y. Soliman, Waylon House Akif Ibragimov "Modeling before fracture closure well testing" Hydraulic fracturing journal.2016. %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

Presentations (In Progress)

  1. Kaya, E. (Presenter; Author), Aulisa, E. (Author Only), Ibraguimov, A. (Author Only), SESHAIYER, P., The 7th AIMS Conference on Dynamical Systems and Differential Equations, Stability analysis of the inhomogeneous equilibrium for axially and transversely excited non-linear beam, AIMS, Arlington/Texas. (May 2008)
  2. Kaya, E. (Presenter; Author), Aulisa, E. (Author Only), Ibraguimov, A. (Author Only), SESHAIYER, P. (Author Only), SIAM 6th Annual Graduate Student Research Day, Stability analysis of the inhomogeneous equilibrium for axially and transversely excited non-linear beam, SIAM, Lubbock, TX. (October 2008)
  3. Kaya, E. (Presenter; Author), Aulisa, E. (Author Only), Ibraguimov, A. (Author Only), SESHAIYER, P. (Author Only), SIAM 7th Annual Graduate Student Research Day, Energy Estimate For Fluid Structure Interaction Problem with Nonlinear Beam, SIAM, Lubbock, TX. (March 2009)
  4. Bloshanskaya, L. (Presenter; Author), Aulisa, E., Ibraguimov, A., Hoang, L., Applied Mathematics Seminar, Mathematical Model of Well Productivity Index for Generalized Forchheimer Flows and Applications, Texas Tech University, Texas Tech University. (September 16, 2009)
  5. Aulisa, E. (Author Only), Bloshanskaya, L. (Presenter; Author), Hoang, L. (Author Only), Ibraguimov, A. (Author Only), SIAM Conference on Mathematics for Industry: Challenges and Frontiers (MI09), Mathematical model of well productivity index for generalized Forchheimer flows and application, SIAM, SanFrancisco, CA. (November 2009)
  6. Bloshanskaya, L. (Presenter; Author), Aulisa, E. (Author Only), Ibraguimov, A. (Author Only), Hoang, L. (Author Only), InterPore 2010 Conference and Annual Meeting, New methods for modeling productivity index of the well for generalized Forchheimer flows in porous media, Texas A&M University, College Station, TX. (March 15, 2010)
  7. Bloshanskaya, L. (Presenter; Author), Aulisa, E. (Author Only), Ibraguimov, A. (Author Only), Hoang, L. (Author Only), 9-th Annual Graduate Student Research Poster Competition, New methods for modeling productivity index of the well for generalized Forchheimer flows in porous media, Texas Tech University, Texas Tech University. (March 29, 2010)
  8. Bloshanskaya, L. (Presenter; Author), Aulisa, E. (Author Only), Ibraguimov, A. (Author Only), Hoang, L. (Author Only), SIAM 8th Annual Graduate Student Research Day, Mathematical Modeling of the Productivity Index of the well for non-linear flows in porous media, Texas Tech University, Texas Tech University. (April 8, 2010)
  9. Kaya, E. (Presenter; Author), Aulisa, E. (Author Only), Ibraguimov, A. (Author Only), SESHAIYER, P. (Author Only), SIAM 8th Annual Graduate Student Research Day, Existence and Uniqueness of the Solution for Nonlinear Plate Equations, SIAM, Lubbock, TX. (April 2010)
  10. Bloshanskaya, L. (Presenter; Author), Aulisa, E. (Author Only), Ibraguimov, A. (Author Only), Hoang, L. (Author Only), Rocky Mountain Mathematics Consortium Summer School "Conservation Laws; Applications, Generalized Forchheimer Flows in Porous Media and Applications", University of Wyoming, University of Wyoming, Laramie, WY. (June 29, 2010)
  11. Ibraguimov, A., Aulisa, E., Hoang, L., Bloshanskaya, L., Colloquim talk, Non-linear flows in the porous media, UT Arlington, Arlington, TX.(January 2011)
  12. Ibraguimov, A.,Colloquim talk, Non-linear flows in prous media and application in engineering, Northwestern University , Engineering Sciences and Applied Mathematics TX.(November 2012)
  13. Ibraguimov, A., Plenary Talk , Advances in Mathematical Fluid Mechanics, Stochastic and Deterministic Methods, Lisbon, Portugal, June 30 - July 5,2014 Mathematical Modelig of Non-linear flows in porous media and application
  14. Ibraguimov, A., Colloquim talk, Qualitative Properties of Non-linear flows in porous media and application in engineering, University of Texas, Dallas, Department of Mathematics TX.(February 2015)
  15. Ibraguimov, A., Invited speaker ,Behavior of mixed boundary value problem near junction point for non-divergent elliptic equation of second order, SIAM Central States Section, Rolla, MO, April 11-12, 2015
  16. Ibraguimov, A., Colloquim talk, Some problem in non-linear problem in porous media,, Azebaijan academy of Science, Baku, Azerbaijan, June 24,2015
  17. Ibraguimov, A., Invited talk, On Some control probleb in porous media and application in engineering, International conference on Mathematical Control Theory and Mechanics, Suzdal, Russia, July 3-7, 2015
  18. Ibraguimov, A., Plenary talk, Qualitative Properties of Non-linear flows in porous media and application in engineering,2015 International Conference on Partial Differential Equations (ICPDE 2015) July 19-21, 2015 Shanghai, China
  19. Ibraguimov, A., Invited Speaker, Mathematical Modeling Forchheimer Flows of the Fluid and Gas with Application in Engineering, Grand Chalanges in Geological Fluid Mechanics, September 02-04, 2015 Santa Fe
  20. Ibraguimov, A.,E. Celik, L. Hoang, T. Kieu, Mixed Regimes of the flow in porous media, Invited Speaker, SIAM Conference on Analysis of Partial Differential Equations, December 07-10, 2015, Scottsdale CA
  21. Ibraguimov, A.,Aulisa, E, Bloshanskaya Invited Speaker, On Well Productivity Index for Compressible Fluid, and Applications, SIAM Conference on Analysis of Partial Differential Equations, December 07-10, 2015, Scottsdale CA

Grants

Synergistic Activities (Under Construction)

  1. Panellist of U.S. Civilian Research and Development Foundation (CRDF).
  2. Co-Chair with J.Su: Special Sections (SS) on AIMS Conf. 2012 (Orlando) SS Dynamics in Complex Biological Systems,
  3. Co-Chair of SS AMS meetings:
  4. 2005 SS #1006, "PDE and its Application in Biomedical Studies"
  5. 2012, # 1085 SS "Geometrical Methods in Mechanical and Dynamical Systems"
  6. Co-Chair of Mini-symposiums on SIAM conferences: 2006 (Raleigh), Life science MS: "PDE and its Application in Biomedical Studies."
  7. 2011 (Snowbird) Application of Dynamical System MS "Appl. of Differential Equation and Dynamical System in Immunology and Medicine"
  8. 2011 (San Diego) PDE, MS "PDE Non-linear Processes in Porous Media"
  9. 2011 (Long Beach), Mathematical and Computational Issue in Geoscience, MS "Non-linear Flows in Porous Media".
  10. SIAM conference on Analysis of Partial Differential Equations Lake Buena Vista, Florida, December 7-10, 2013 Co-organizer of Mini-Symposium: Elliptic and Parabolic Equations with Nonstandard Nonlinearity.
  11. SIAM conference on Mathematical and Computational Issues in the Geosciences University of Padova, Italy, June 17-20, 2013, Co-organizer of Mini-Symposium: Dynamics of Non-linear Flows in Porous Media: Analysis and Applications
  12. AMS 2012 Fall Western Section Meeting University of Arizona, Tucson, AZ, October 27-28, 2012
  13. Member of organizing committee of Fourth International Conference on Mathematical Modelling and Analysis of Populations in Biological Systems, 2013, (Lubbock, TX).
  14. AMS, Spring Central Sectional Meeting Texas Tech University, Lubbock, TX, April 11-13, 2014 - See more at: http://www.ams.org/meetings/sectional/2211_program.html#sthash.lho4a4MC.dpuf organizer,
  15. Member of organizing committee of Advances in Mathematical Fluid Mechanics, Stochastic and Deterministic Methods, Lisbon, Portugal, June 30 - July 5,2014 .

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