Professor Emeritus Akif Ibragimov

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

Email address: akif(dot)ibraguimov(at)ttu(dot)edu

Portrait of Akif Ibragimov

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), Kevin Nicholas Tate (2006), Larry Wen-Lei Jean (2006), Abiodun Amao (2007), Abhinav Mishra (2007), Adem Cacmack (2008), Jasamen Kaya (2010), Lidya Bloshanskaya (2012), Gunatilake Pinnawala (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), P. Paranamana (2018).

Research

Journal Article, Academic Journal

  1. Ibragimov, A. I., Mamedov, I. T. (1972). On some convergence tests for numerical series. Proceedings, Azerbaijan State Oil Academy, Baku, v. IX, no. 5, pp. 47-53.
  2. Ibragimov, A. I., Mamedov, I. T. (1973). On approximation of the functions by derivatives of the linear positive operators. Proceedings, Azerbaijan State Oil Academy, Baku, no. 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. Proceedings, Azerbaijan State Oil Academy, Baku, no. 7, pp. 58-65.
  4. Ibragimov, A. I. The behavior on the boundary of the solutions of a degenerate second order elliptic equation. 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. 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. 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. 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. 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. 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. 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. 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. Akad. Nauk Azerbaidzhan. SSR Dokl. 38 (1982), no. 12, 6-9.
  13. Ibragimov, A. I. Solvability of a mixed problem for second-order elliptic equations. Differentsial'nye Uravneniya 19 (1983), no. 1, 56-65, 180.
  14. Ibragimov, A. I. Some qualitative theorems for degenerate elliptic equations. Mat. Zametki 34 (1983), no. 3, 407-416.
  15. Ibragimov, A. I. On the solvability of a mixed problem for second-order elliptic equations. 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. 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. 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. Izv. Akad. Nauk Azerbaidzhan. 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. 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. In Functional and Numerical Methods in Mathematical Physics, 124-127, 269, Naukova Dumka, Kiev, 1988.
  21. Ibragimov, A. I. On a behavior of the solution at finite point and at infinity. In Qualitative Theory of Boundary Problems in Mathematical Physics, Baku, Azerbaijan Academy of Science, 1991, pp. 177-198.
  22. Dmitriev, N. M., Ibragimov, A. I. Hayrulina experimental calculation characteristic volume of the fraction. Proceedings of the conference, Institute of the Problems of Oil and Gas, Moscow, 1991.
  23. Dmitriev, N. M., Ibragimov, A. I., Hayrulina. Estimates of the characteristic volume of the fraction using permeability. Special issue of Gazprom, 1991.
  24. Ibragimov, A. I.; Landis, E. M. (1996). On the behavior of solutions to the Neumann problem in unbounded domains. Trudy Seminara im. I. G. Petrovskogo, v. 19, p. 218-234.
  25. Ibragimov, A. I.; Landis, E. M. On Zaremba problem. 51:5 (311) (1996), 205.
  26. Landis, E. M.; Ibragimov, A. I. Neumann problems in unbounded domains. 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. 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. Proceedings of International 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. 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 31, no. 5, 718-723 (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, 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. Annual Technical Meeting, Calgary, Alberta, June 8-11, 1997.
  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 parabolic equation in unbounded domain. 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. 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 gas fields development with horizontal and slanting wells. 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. In Recent Advances in Problems of Flow and Transport in Porous Media, 31-41, Kluwer, 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. 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 equations 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 anisotropic reservoirs. SPE Reservoir Simulation Symposium, Houston, Texas, February 14-17, 1999.
  45. Ibragimov, A. I.; Baganova, M. N.; Nekrasov, A. A. Stationary and non-stationary flow of fluid in a limited reservoir toward 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 toward smart well. Modern Approaches to Flows in Porous Media, Moscow, 1999, 77-80.
  47. Ibragimov, A. I.; Sidorov, L. V. The influence of sub-layer with high permeability on edge-water encroachment. Gas Industry, October 1997, 26-30.
  48. Ibragimov, A. I.; Levin, M. P.; Sidorov, L. V. Numerical investigation of high permeability thin layers influence on water filling of horizontal wells by quasi-characteristics scheme. Computational Fluid Dynamics Journal, vol. 9, no. 2, 2000, pp. 105-109.
  49. Ibragimov, A. I.; Levin, M. P.; Sidorov, L. V. Numerical investigation of two-phase fluid afflux to horizontal well by quasi-characteristics scheme. Computational Fluid Dynamics Journal, vol. 8, no. 4, 2000, pp. 556-560.
  50. Ibragimov, A. I.; Levin, M. P.; 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, University of Magdeburg, Germany, 2000, pp. 214-217.
  51. Richard Ewing, Akif Ibragimov, Raycho Lazarov. 3-D Simulation of the Pressure Drop along Horizontal Wells in a Bounded Reservoir. SPE/Petroleum Society of CIM 65505 (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.
  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.; Mayer, R. Wavelet Based Neural Net Application for Feature Detection and Classification. Second International Workshop on Intelligent Systems Design and Applications, Atlanta, GA, 2002.
  56. Verma, A.; Ibragimov, A.; Mayer, R. An Approach for Corrosion Classification Based on Wavelet Analysis. Tri-Service Corrosion Conference, San Antonio, 2002.
  57. Richard Mayer, Kumar V. Akella, Akif Ibragimov, Paul Koola, M. Sunkara, R. Bardsley. Crevice Corrosion Mitigation Using Impressed Currents. 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. Tri-Service Corrosion Conference, Las Vegas, 2003, pp. 98-111.
  59. Paul Mario Koola, Akif Ibragimov. The dynamics of Wave Carpet - A novel deep water wave energy design. Oceans 2003.
  60. Verma, Ajay; Ibragimov, Akif; Ramachandran, Satheesh. Wavelet-based neural net application for feature detection and classification. 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, Houston, Texas, 2004.
  62. A. Ibragimov, P. Koola. Wave carpet simulation using coupled hydro-elastic FEMLAB model. COMSOL Multiphysics User's Conference, Boston, 2005.
  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, L. Ritter, 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 Framework for the Productivity Index of Wells with Fast Forchheimer (non-Darcy) Flow in Porous Media. COMSOL Multiphysics, Boston, 2006.
  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 14 (2007), 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 14 (2007), suppl. S2, 148-155.
  68. Aulisa, E.; Ibraguimov, A.; Valko, P.; Walton, J. R. A new method of evaluating the productivity index for non-linear flows. SPE 108984, Anaheim, California, 2007.
  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.
  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 5, issue 6, 761-773.
  71. Ibraguimov, A.; Ritter, L.; Walton, J.; McNeal, C. (2009). Stability analyses using an energy estimate approach of a reaction-diffusion equation. Discrete and Continuous Dynamical Systems Supplement, 630-639.
  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 Physics, 50.
  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 Systems 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. Comput. Math. Methods Med., 11(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.
  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.
  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. DCDS Supplement, 813-824.
  81. Aulisa, E.; Ibraguimov, A.; Toda, M. (2011). Geometric methods in the analysis of non-linear flows in porous media. Contemporary Mathematics AMS, 535, 27-42.
  82. Hoang, L.; Ibraguimov, A. (2011). Structural stability of generalized Forchheimer equations for compressible fluids in porous media. Nonlinearity, 24(1), 1-41.
  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.
  84. Hoang, L.; Ibraguimov, A. (2012). Qualitative study of generalized Forchheimer flows with flux boundary condition. Advances in Differential Equations, 17(5-6), 511-556.
  85. Ibraguimov, A.; Ritter, L.; Walton, J.; McNeal, C. (2012). Illuminating atherogenesis through mathematical modeling. In Atherogenesis, pp. 49-70.
  86. Aulisa, E.; Bloshanskaya, L.; Ibraguimov, A. (2012). The time asymptotic of non-Darcy flows controlled by total flux. Journal of Mathematical Sciences, 184(4), 399-430.
  87. Stability of solutions to generalized Forchheimer equations of any degree, with Luan Hoang, Thinh Kieu, Zeev Sobol, 2012, submitted for publication.
  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 Medicine, 2012, Article ID 809864.
  89. L. Hoang, A. Ibragimov, T. Kieu (2013). One-dimensional two-phase generalized Forchheimer flows of incompressible fluids. J. Math. Anal. Appl. 401(2), 921-938.
  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, 2(2), 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, 138, 5566-5571.
  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.
  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, 825-835.
  94. L. Hoang, A. Ibragimov, T. Kieu (2013). A Family of Steady Two-Phase Generalized Forchheimer Flows and Their Linear Stability Analysis. arXiv.
  95. E. Aulisa, A. Ibragimov, E. Y. Kaya-Cekin (2014). Fluid Structure Interaction Problem with Changing Thickness Beam and Slightly Compressible Fluid.
  96. P. D. Dasgupta, R. P. Bhawal, Y. H. A. Li, A. Ibraguimov (2014). Cavity-Enhanced Absorption Measurements Across Broad Absorbance and Reflectivity Ranges. Analytical Chemistry, 86, 3727-3734.
  97. E. Aulisa, L. Bloshanskaya, Y. Efendiev, Akif Ibragimov (2014). Upscaling of Forchheimer flows. Advances in Water Resources, 70, 77-88.
  98. A. Ibragimov, T. Kieu (2014). The Expanded Mixed Finite Element Method for Generalized Forchheimer Flows in Porous Media. arXiv.
  99. L. Hoang, A. Ibragimov, T. Kieu. A Family of Steady Two-Phase Generalized Forchheimer Flows and Their Linear Stability Analysis. J. Math. Phys. 55, 123101 (2014).
  100. Fahd Siddiqui, Shehan Haputhanthri, 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. Analyst, 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, 210(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, submitted.
  104. E. Aulisa, L. Bloshanskaya, Akif Ibragimov (2015). Well Productivity Index for Compressible Fluids and Gases. arXiv, submitted.
  105. Fahd Siddiqui, Shehan Mohamed Y. Soliman, Waylon House, Akif Ibragimov (2015). Pre-Darcy Flow Revisited Under Experimental Investigation. Journal of Petroleum & Environmental Biotechnology 6.6, 1-5.
  106. D. Papas, H. Somaweera, A. Ibragimov, S. Haputhanthri. On-Chip Gradient Generation in 256 Microfluidic Cell Cultures: Simulation and Experimental Validation. Analyst, 2015, 140, 5029-5038.
  107. Ibragimov, A.; Hoang, L.; Kieu, T.; Sobol, Z. Stability of solutions to generalized Forchheimer equations of any degree. Journal of Mathematical Sciences, 210(4) (2015), 476-544.
  108. A. Ibragimov, T. Kieu. The Expanded Mixed Finite Element Method for Generalized Forchheimer Flows in Porous Media. Computers and Mathematics with Applications, July 2016.
  109. E. Aulisa, L. Bloshanskaya, Akif Ibragimov (2015). Well Productivity Index for Compressible Fluids and Gases. Evolution Equations and Control Theory, 5(1), 1-36, March 2016.
  110. Lidia Bloshanskaya, Akif Ibragimov, Fahd Siddiqui, Mohamed Y. Soliman. Productivity Index for Darcy and pre-/post-Darcy Flow (Analytical Approach). Transport in Porous Media, 2016.
  111. 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.
  112. Himali Somaweera, Akif Ibraguimov, Dimitri Pappas. A review of chemical gradient systems for cell analysis. Analytica Chimica Acta, 907, 7-17 (2016).
  113. Fahd Siddiqui, Mohamed Y. Soliman, Waylon House, Akif Ibragimov. Modeling before fracture closure well testing. Hydraulic Fracturing Journal, 2016.
  114. E. Aulisa, L. Bloshanskaya, A. Ibragimov. Well productivity index for compressible fluids and gases. Evolution Equations and Control Theory, 5(1), 1-36 (2016).
  115. Emine Celik, Luan Hoang, Akif Ibragimov, Thinh Kieu. Fluid Flows of Mixed Regimes in Porous Media. Journal of Mathematical Physics, 58, 023102 (2017).
  116. Lidia Bloshanskaya, Akif Ibragimov, Fahd Siddiqui, Mohamed Y. Soliman. Productivity Index for Darcy and pre-/post-Darcy Flow (Analytical Approach). Journal of Porous Media, 2017.
  117. Alexander Nazarov, Akif Ibragimov. On Phragmén-Lindelöf principle for non-divergence type elliptic equation and mixed boundary conditions. Mathematical Physics and Computer Simulation, 20(3), 2017.
  118. Dat Cao, Akif Ibragimov, and Alexander I. Nazarov. Mixed boundary value problems for non-divergence type elliptic equations in unbounded domains. Asymptotic Analysis, 109, 75-90 (2018).
  119. Aulisa, E.; Ibraguimov, A.; Paranamana, P. J.; Toda, M. Fracture Model Reduction and Optimization for Forchheimer Flows in Reservoir. Journal of Mathematical Physics, accepted, 2019.
  120. Akif Ibragimov, J. Padget, Y. Mushref, Y. Geldiev. Object classification in analytical chemistry via data-driven discovery of partial differential equations. Computational and Mathematical Methods, 2021. https://doi.org/10.1002/cmm4.1164
  121. Einstein Degenerate Brownian Motion Model for Chemotactic System: Traveling Band and Localization. 8th International Conference on Control and Application, Baku.
  122. Ibragimov, Angie Peace. Light Driven Interaction in Spatial Predator-Prey Chemotaxis Model in the Presence Chemical Agent. TWMS J. Pure Appl. Math., 13(2), 2022, 222-244. http://www.twmsj.az/Current.aspx
  123. C. Christov, Isanka Garli Hevage, Akif Ibraguimov, Rahnuma Islam. Nonlinear Einstein paradigm of Brownian motion and localization property of solutions. Mathematical Methods in the Applied Sciences, 2023.
  124. Einstein's model of “the movement of small particles in a stationary liquid” revisited: finite propagation speed. Akif Ibragimov, Zeev Sobol, Isanka Hevarage. Turkish Journal of Mathematics, accepted, 2023.
  125. Fundamentals in Peaceman Model for Well-Block Radius for Non-Linear Flows Near Well. A. Ibragimov, E. Zakirov, I. Indrupskiy, D. Anikeev. arXiv, 2022.
  126. Experimental, analytical and numerical study of the electromagnetic field distribution in pulsed power plasma stimulation (PPPS). Geoenergy Science and Engineering, 225, 2023. https://doi.org/10.1016/j.geoen.2023.211686

Presentations (In Progress)

  1. Kaya, E.; Aulisa, E.; Ibraguimov, A.; 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, Arlington, Texas (May 2008).
  2. Kaya, E.; Aulisa, E.; Ibraguimov, A.; Seshaiyer, P. SIAM 6th Annual Graduate Student Research Day, Stability analysis of the inhomogeneous equilibrium for axially and transversely excited non-linear beam, Lubbock, TX (October 2008).
  3. Kaya, E.; Aulisa, E.; Ibraguimov, A.; Seshaiyer, P. SIAM 7th Annual Graduate Student Research Day, Energy Estimate For Fluid Structure Interaction Problem with Nonlinear Beam, Lubbock, TX (March 2009).
  4. Bloshanskaya, L.; Aulisa, E.; Ibraguimov, A.; Hoang, L. Applied Mathematics Seminar, Mathematical Model of Well Productivity Index for Generalized Forchheimer Flows and Applications, Texas Tech University (September 16, 2009).
  5. Aulisa, E.; Bloshanskaya, L.; Hoang, L.; Ibraguimov, A. SIAM Conference on Mathematics for Industry, Mathematical model of well productivity index for generalized Forchheimer flows and application, San Francisco, CA (November 2009).
  6. Bloshanskaya, L.; Aulisa, E.; Ibraguimov, A.; Hoang, L. InterPore 2010 Conference and Annual Meeting, New methods for modeling productivity index of the well for generalized Forchheimer flows in porous media, College Station, TX (March 15, 2010).
  7. Bloshanskaya, L.; Aulisa, E.; Ibraguimov, A.; Hoang, L. 9th Annual Graduate Student Research Poster Competition, Texas Tech University (March 29, 2010).
  8. Bloshanskaya, L.; Aulisa, E.; Ibraguimov, A.; Hoang, L. SIAM 8th Annual Graduate Student Research Day, Texas Tech University (April 8, 2010).
  9. Kaya, E.; Aulisa, E.; Ibraguimov, A.; Seshaiyer, P. SIAM 8th Annual Graduate Student Research Day, Existence and Uniqueness of the Solution for Nonlinear Plate Equations, Lubbock, TX (April 2010).
  10. Bloshanskaya, L.; Aulisa, E.; Ibraguimov, A.; Hoang, L. Rocky Mountain Mathematics Consortium Summer School, University of Wyoming, Laramie, WY (June 29, 2010).
  11. Ibraguimov, A.; Aulisa, E.; Hoang, L.; Bloshanskaya, L. Colloquium talk, Non-linear flows in porous media, UT Arlington, Arlington, TX (January 2011).
  12. Ibraguimov, A. Colloquium talk, Non-linear flows in porous media and application in engineering, Northwestern University (November 2012).
  13. Ibraguimov, A. Plenary talk, Advances in Mathematical Fluid Mechanics, Stochastic and Deterministic Methods, Lisbon, Portugal, June 30 - July 5, 2014.
  14. Ibraguimov, A. Colloquium talk, Qualitative Properties of Non-linear flows in porous media and application in engineering, University of Texas at Dallas (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. Colloquium talk, Some problem in non-linear porous media, Azerbaijan Academy of Science, Baku, Azerbaijan (June 24, 2015).
  17. Ibraguimov, A. Invited talk, On Some control problem 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, ICPDE 2015, Shanghai, China (July 19-21, 2015).
  19. Ibraguimov, A. Invited Speaker, Mathematical Modeling Forchheimer Flows of the Fluid and Gas with Application in Engineering, Santa Fe (September 2-4, 2015).
  20. Ibraguimov, A.; Celik, E.; Hoang, L.; Kieu, T. Mixed Regimes of the flow in porous media, Invited Speaker, SIAM Conference on Analysis of Partial Differential Equations, Scottsdale, CA (December 7-10, 2015).
  21. Ibraguimov, A.; Aulisa, E.; Bloshanskaya, L. Invited Speaker, On Well Productivity Index for Compressible Fluid, and Applications, SIAM Conference on Analysis of Partial Differential Equations, Scottsdale, CA (December 7-10, 2015).
  22. Ibragimov, A. The 11th AIMS Conference on Dynamical Systems, Differential Equations and Applications, Orlando, Florida (July 1-5, 2016).
  23. Ibraguimov, A. Invited Speaker, Non-Linear Problems in Porous Media, Analysis Seminar, Bielefeld University, Germany (January 2016).
  24. Ibraguimov, A. Invited Participant and poster presenter, Productivity Index for Compressible Gases, Newton Center, Cambridge (February 2016).
  25. Ibraguimov, A. Colloquium Speaker, On framework for mixed non-linear regimes of the flows in porous media and its application in reservoir engineering, Utrecht University, Holland (April 8, 2016).
  26. Ibragimov, A. Invited speaker, Regularity problems of non-linear equations and application in engineering, Czech Republic (April 2016).
  27. Ibraguimov, A. Colloquium Speaker, On mathematical framework of productivity index of the well and applications, Institute of Oil and Gas, Russian Academy of Science, Moscow.
  28. Ibraguimov, A. Colloquium Speaker, On flows in porous media, Institute of Mathematics, Russian Academy of Science, Saint Petersburg (May 2016).
  29. Ibragimov, A. University of Hokkaido, Colloquium talk, Nonlinear flows in porous media and application, Sapporo (November 2016).
  30. Ibragimov, A. University of Hokkaido, Colloquium talk, Asymptotic of the solution mixed boundary problem for elliptic equation in non-divergent form in unbounded domain, Sapporo (November 2016).
  31. Ibragimov, A. University of Minnesota, Colloquium talk, On criteria of regularity solution mixed boundary problem for elliptic equation in non-divergent form in bounded domain (September 2016).
  32. Pushpi Paranamana, E. Aulisa, M. Toda, and A. Ibragimov. Hypersurface Model of the Fracture for Nonlinear Fluid Flows, SIAM Annual Meeting (July 2017).
  33. A. Grigoryan, A. Ibragimov. New Proof of Mazya's Criteria for Regularity of Zaremba Problem at Infinity. AMS Fall Central Sectional Meeting, Denton, TX (September 9-10, 2017).
  34. A. Ibragimov, V. Purkaradze. Asymptotic stability of the system of two sin-Gordon type equations. AMS Fall Central Sectional Meeting, Denton, TX (September 9-10, 2017).
  35. D. Cao, A. Ibragimov, A. Nazarov. Mixed boundary value problems for degenerate elliptic equations at infinity. AMS Fall Central Sectional Meeting, Denton, TX (September 9-10, 2017).
  36. V. Purkadze, A. Ibragimov, D. Zinkov. Variational approach to fluid-structure interactions: friction, constraints, Darcy's law and poromechanics. AMS Fall Central Sectional Meeting, Denton, TX (September 9-10, 2017).
  37. Pushpi Paranamana, Eugenio Aulisa, Akif Ibragimov, and Magdalena Toda. Geometric Model of the Fracture as a Manifold, SIAM Annual Meeting 2018, Portland, Oregon.
  38. Pushpi Paranamana, Eugenio Aulisa, Akif Ibragimov, and Magdalena Toda. International Workshop on Hydraulic Fracturing, BIRS, Canada, 2018.
  39. Akif Ibragimov, Luan Hoang, Eugenio Aulisa, Anna Krylova, and Lidia Bloshanskaya. Qualitative properties of the Forchheimer Flow and Application in Engineering, SIAM Geosciences, Houston, March 2019.
  40. Pushpi Paranamana, Eugenio Aulisa, Akif Ibragimov, and Magdalena Toda. Analytical, Numerical and Geometric Methods with Applications to Fractured Porous Media Modeling, SIAM Geosciences, Houston, March 2019.

Grants

Synergistic Activities (Under Construction)

  1. Panellist of U.S. Civilian Research and Development Foundation (CRDF).
  2. Co-Chair with J. Su: Special Session on AIMS Conference 2012 (Orlando), Dynamics in Complex Biological Systems.
  3. Co-Chair of Special Sessions at AMS meetings.
  4. 2005, SS #1006, “PDE and its Application in Biomedical Studies.”
  5. 2012, #1085, “Geometrical Methods in Mechanical and Dynamical Systems.”
  6. Co-Chair of mini-symposia at SIAM conferences, including Raleigh 2006, Snowbird 2011, San Diego 2011, and Long Beach 2011.
  7. Co-organizer of Mini-Symposium: Elliptic and Parabolic Equations with Nonstandard Nonlinearity, SIAM Conference on Analysis of PDE, Lake Buena Vista, Florida, 2013.
  8. Co-organizer of Mini-Symposium: Dynamics of Non-linear Flows in Porous Media: Analysis and Applications, SIAM Geosciences, Padova, Italy, 2013.
  9. AMS 2012 Fall Western Section Meeting, University of Arizona, Tucson, AZ.
  10. Member of organizing committee of Fourth International Conference on Mathematical Modelling and Analysis of Populations in Biological Systems, Lubbock, TX, 2013.
  11. Organizer for AMS Spring Central Sectional Meeting, Texas Tech University, 2014.
  12. Member of organizing committee of Advances in Mathematical Fluid Mechanics, Stochastic and Deterministic Methods, Lisbon, Portugal, 2014.

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