Curriculum Vitae

LUAN THACH HOANG

Education

• 2002-2005 Texas A&M University, College Station, Texas

  Ph.D., Mathematics

  Dissertation: The asymptotic expansions of regular solutions to 3-D Navier-Stokes equations and applications in the analysis of the helicity.

  Advisor: Ciprian Foias

  Other committee members: James Bramble, Raytcho Lazarov, Carl Pearcy, Konam Rajagopal

• 2000-2002 Indiana University, Bloomington, Indiana

  Graduate student in Mathematics

  Advisor: Ciprian Foias

• 1998-2000 Arizona State University, Tempe, Arizona

  M.A., Mathematics

  Thesis: Blowup versus regularity in the three dimensional Euler and Navier-Stokes equations.

  Advisor: Basil Nicolaenko

  Other committee members: Don Jones, Alex Mahalov

• 1997-1998 National University, Hochiminh City, Vietnam

  Graduate student in Mathematics

• 1993-1997 National University, Hochiminh City, Vietnam

  B.S., Mathematics and Computer Science.

  Thesis: Holder continuity of the first derivatives of solutions of elliptic equations.

  Advisor: Duong Minh Duc

• 1993-1997 National University, Hochiminh City, Vietnam

  B.S., Technology of Information

  Thesis: Designing a toolbox of fuzzy logic and fuzzy sets and its applications in noise elimination, joint project with Tran Thai Son.

  Advisor: Le Hoai Bac

Awards

• 2005 L.F. Guseman Prize in Mathematics, Texas A&M University

• 2002-2005 Departmental Graduate Fellowship, Texas A&M University

• 2002 AUF Fellowship, Texas A&M University

• 2001 Eberhard E.Hopf Fellowship, Indiana University

  2001 James P.Williams Memorial Award, Indiana University

• 1997 Outstanding Student Award, National University, Hochiminh City,Vietnam

• 1991-1992 First prize, Competition in Mathematics for Eleventh grade students, Hochiminh City, Vietnam

• 1990 First prize, Competition in Mathematics for Ninth grade students, Phu Nhuan District, Hochiminh City, Vietnam

• 1988 Consolation prize, Competition in Mathematics for the Youth, Hochiminh City, Vietnam

Research Interests

Partial differential equations, dynamical systems, fluid mechanics.

Teaching Experience

• 2005-2008 University of Minnesota, Minneapolis, Minnesota

  Dunham Jackson Assistant Professor
  • Spring 2008. MATH 1142 Short Calculus. Lec 020.
  • Spring 2008. MATH 1155 Intensive Precalculus.
  • Fall 2007. MATH 5535. Dynamical Systems and Chaos
  • Spring 2007. MATH 1031 (Lec 020, 040). College Algebra and Probability
  • Fall 2006. MATH 4606: Advanced Calculus
  • Spring 2006. MATH 1151: Pre-Calculus II
  • Fall 2005. MATH 2263: Multivariable Calculus

• 2002-2005 Texas A&M University, College Station, Texas

  • Fall 2004. Taught one section of M142, Business Mathematics II

  • Summer 2004. Assisted M152, Engineering Mathematics II. Two recitation sections and Maple Lab hours

• 2001-2002 Indiana University, Bloomington, Indiana

  Associate Instructor

  • Spring 2002. Taught two sections of M025 Pre-Calculus

  • Fall 2001. Taught one section of M014 Basic Algebra

• 1998-2000 Arizona State University, Tempe, Arizona

  Teaching Assistant

• 1999 International Teaching Assistant Seminar

• 1997-1998 National University, Hochiminh City, Vietnam

  Instructor

• 1996 National University, Hochiminh City, Vietnam

  Teachinng Assistant

Papers and Preprints

1. Incompressible fluids in thin domains with Navier friction boundary conditions, 2007, submitted.
2. Navier-Stokes equations with Navier boundary conditions in nearly flat domains, (with George Sell), 2007, submitted.
3. A basic inequality for the Stokes operator related to the Navier boundary condition, 2007, to appear on JDE
4. The normal form of the Navier-Stokes equations in suitable normed spaces, (with Ciprian Foias, Eric Olson, Mohammed Ziane), 2006, preprint.
5. On the helicity in 3D Navier-Stokes equations II: The statistical case, (with Ciprian Foias, Basil Nicolaenko), 2007, submitted.
6. On the solutions to the normal form of the Navier-Stokes equations, (with Ciprian Foias, Eric Olson, Mohammed Ziane), IUMJ Vol. 55, No 2 (2006) 631-686. ( pdf )
7. On the helicity in 3D Navier-Stokes equations I: The non-statistical case, (with Ciprian Foias, Basil Nicolaenko), PLMS Volume 94 Number 1 (January 2007) 53-90. (doi: 10.1112/plms/pdl003)

Conferences

• The 7th AIMS International Conference on Dynamical Systems and Differential Equations
  Arlington, TX, May 18 - 21, 2008


• SIAM Conference on Analysis of Partial Differential Equations
  December 10-12, 2007, Mesa, Arizona
  Talk: Incompressible fluids in thin domains with Navier friction boundary conditions


• Nonlinear Dynamics and PDE Mini-Conference
  Arizona State University, Tempe, AZ, November 19-20, 2007
  Talk: Navier–Stokes equations: the normalization map, statistical solutions and fluid dynamics


• AMS 2007 Fall Southeastern Meeting
  Murfreesboro, TN, November 3-4, 2007
  Talk: Global strong solutions of equations in geophysical fluid dynamics


• The 3rd Symposium on Analysis & PDEs
  Purdue University, West Lafayette, IN, May 27-30, 2007
  Talk: Regularity of the Stokes Operator in Thin Domains


• CMU-Chile Workshop on New Developments in Partial Differential Equations I
  Carnegie Mellon University, Pittsburgh, PA, May 21–24, 2007
  Talk: Navier-Stokes equations with Navier boundary conditions in nearly flat domains


• Special Session on Theoretical and Numerical Issues in Fluid Dynamics
  AMS 2007 Spring Central Section Meeting Oxford, OH, March 16-17, 2007
  Talk: Statistical solutions to the Navier-Stokes equations and long time behaviors of fluid flows


• Special session on "Microlocal Analysis and Partial Differential Equations (in Honor of Michael E. Taylor's 60th Birthday)"
  AMS 2007 Spring Southeastern Section Meeting Davidson, NC, March 3-4, 2007
  Talk: Studying the normal form of the Navier-Stokes equations in suitable Banach spaces


• Special session on "Nonlinear Analysis and Applied Mathematics"
  AMS 2005 Spring Southeastern Sectional Meeting, Bowling Green, KY, March 18-19, 2005
  Talk: On the solutions to the normal form of the Navier-Stokes Equations


• Minisymposium "Problems in Fluid Dynamics and Geophysical Fluid Dynamics"
  SIAM Conference on Analysis of Partial Differential Equations, Houston, TX December 6-8, 2004
  Talks: On the convergence of the asymptotic expansions of the regular solutions to the 3D-periodic Navier-Stokes equations and applications to asymptotic behavior of helicity. Parts I and II. .dvi    .pdf    .ps


• Special session on "Partial Differential Equations"
  AMS 2004 Spring Western Section Meeting, Los Angeles, CA, April 3-4
  Talk: On the helicity in 3D Navier-Stokes equations .dvi    .pdf    .ps

Seminars

• 10.2007 Institute Seminar, Indiana University

  Talk: Global strong solutions of equations in geophysical fluid dynamics

• 4.2007 PDE and Dynamical Systems Seminars, University of Minnesota
  

  Talk: Navier-Stokes equations with Navier boundary conditions in nearly flat domains

• 4.2007 PDE Seminar, University of Minnesota

  Talk: The normal form of the Navier-Stokes equations in suitable normed spaces

• 12.2006 PDE and Dynamical Systems Seminars, University of Minnesota

  Talk: On the Stokes and Laplacian operators in Navier-Stokes equations

• 12.2005 Colloquium, University of Nevada

  Talk: Asymptotic analysis of the statistical solutions to the Navier-Stokes equations

• 10.2005 PDE Seminar, University of Minnesota

  Talk: Normalization maps and statistical solutions in Navier-Stokes equations

• 10.2005 Dynamical Systems Seminars, University of Minnesota

  Talk: A Normal form for the Navier-Stokes equations

• 4.2005 PDE and Dynamical Systems Seminars, University of Minnesota

  Talk: Asymptotic analysis of the helicity in 3D periodic Navier-Stokes equations

• 2.2005 Applied Mathematics Seminar, Texas A&M University

  Talk: On the solutions to the normal form of the Navier-Stokes Equations

• 3.2004 Applied Mathematics Seminar, Texas A&M University

  Talk: On the helicity in 3D Navier-Stokes equations