Education

• 2000 – 2003 : Ph.D. degree in Numerical Analysis, Ecole Polytechnique de Paris, France.

Advisor: Philippe G. LeFloch

• 1999 -- 2000 : Master degree in Numerical Analysis, Ecole Polytechnique de Paris, France. 
• 1991-1995: B.Sc. degree in Math:  Pedagogical University of Hue, Vietnam.

Research Interests

Research Fields: Numerical Analysis and Partial Differential Equations.
Research Themes:

• Mathematical Analysis of shock waves in hyperbolic systems of balance laws
• Traveling waves in diffusive-dispersive models 
• Numerical approximations for systems of balance laws

Career

• From 2010--: Associate Professor, International University-VNU HCM
• From 2005--2010: Assistant Professor,  International University-VNU HCM
• From 2004--2005: Assistant Professor, University of Technology-VNU HCM
• 9/2003—8/2004: Postdoc, Institute of Applied Mathematics, University of Freiburg, Germany. Host: Prof. D. Kröner
•  1995—2004: Researcher, Hanoi Institute of Mathematics,  Vietnamese Academy of Science and Technology
• Awarded Dong Luan prize 2009
• Membership: American Mathematical Society (AMS), Vietnamese Mathematical Society
• Reviewer  of  Mathematical Reviews,  AMS
• Referees of International Journals:   SIAM J. Scientific Computing,  Mathematical Analysis & Applications, Computational &Applied Mathematics, Applied. Mathematics & Computations, Vietnam J. Mathematics, Numerische Mathematik, Journal of Hyperbolic Differential Equation

Teaching

• Calculus
• Discrete Mathematics
• Numerical Methods
• Ordinary Differential Equations
• Partial Differential Equations
• Hyperbolic Systems of Conservation Laws 

Publications

1. M.D. Thanh, Existence of traveling waves in compressible Euler  equations with viscosity and capillarity, Nonlinear Analysis: TMA, DOI:10.1016/j.na.2012.04.003
2. M.D. Thanh, Exact solutions of a two-fluid model of two-phase compressible flows with gravity, Nonlinear Analysis: RWA, 13 (2012), 987-998
3. M.D. Thanh, On a two-fluid model of two-phase compressible flows and its numerical approximation, Commun. Nonlinear Sci. Numer. Simulat., 17 (2012) 195–211
4. M.D. Thanh, Existence of traveling waves  of conservation laws with singular diffusion and nonlinear dispersion,  Bull. Malays. Math. Sci. Soc.  35  (2012), 383-398
5. P.G. LeFloch and M.D. Thanh, A Godunov-type method for the shallow water equations with discontinuous topography in the resonant regime, J. Comput. Physics, 230 (2011) 7631–7660
6. M.D. Thanh, Remarks on nonclassical shock waves for Van der Waals fluids, Acta Math. Viet., Volume 36, Number 2, (2011), 451-468
7. M.D. Thanh, Stationary waves of a two-fluid model of two-phase compressible flows and their computations, Proc. Inter. Conf. Anal & Appl. Math., Sai Gon University, Ho Chi Minh City, March 2011, 205-221.
8. M.D. Thanh, Traveling waves   of an elliptic-hyperbolic model of phase transitions via varying viscosity-capillarity, J. Differential Equations, volume 251, number 2, (2011), 439-456.
9. M.D. Thanh, D. Kröner, and N.T. Nam, Numerical approximation for a Baer-Nunziato  model of two-phase flows., Appl. Numer. Math.  61 (2011), 702-721.
10. M.D. Thanh, Existence of traveling waves in elastodynamics with variable viscosity and capillarity, Nonlinear Analysis: RWA, 12 (2011), 236-245. 
11. M.D. Thanh, Attractor and traveling waves of a fluid with nonlinear diffusion and dispersion,  Nonlinear Analysis: TMA, Volume 72, Number 6, 3136-3149, 2010.
12. M.D. Thanh, Global existence of diffusive-dispersive traveling waves for general flux functions, Nonlinear Analysis: TMA,  Volume 72, Number 1,  231-239, 2010
13. M.D. Thanh, The Riemann problem for a non-isentropic fluid in a nozzle with discontinuous cross-sectional area, SIAM J. Appl. Math., 69(6),1501—1519, 2009.
14. M.D.Thanh and A.Izani Md. Ismail, Well-balanced scheme for a one-pressure model of two-phase flows, Physica Scripta, 79, 2009.
15. A. Izani Md. Ismail, Md. Fazlul K., and M.D. Thanh, Tsunami Modelling using the Well-Balanced  Scheme, Int. J. Math. Phys. & Engin. Sci., 2,  166-169
16. D. Kröner, P.G. LeFloch, and M.D. Thanh, The minimum entropy principle for fluid flows in a nozzle with discontinuous cross-section, Math. Model. & Num. Anal., 42 (2008), 425-442.
17. M.D. Thanh, Md. Fazlul K. and A. Izani Md. Ismail, Well-balanced scheme for shallow water equations with arbitrary topography, Inter. J. Dyn. Sys. and Diff. Eqs. Vol 1(3), 2008, 196-204.
18. P.G. LeFloch and M.D. Thanh, The Riemann problem for shallow water equations with discontinuous topography, Com. Math. Sci., 5(4), (2007) 865-885.
19. H.D. Nghia and M.D. Thanh, Nonclassical shock waves of conservation laws: flux-function having two inflection points, Elect. J. Diff, Eqs, Vol 2006, No 149, pages 1-17.
20. D. Kröner and M.D. Thanh, A well-balanced numerical method for several models of two-phase flows, Proceedings of International Conference on Nonlinear Analysis & Engineering Mechanics Today, 2006, 90-115.
21. D. Kröner and M.D. Thanh, On the model of a compressible flow in a nozzle: Analysis and Numerical Methods, Proc. Tenth. Intern. Conf. "Hyperbolic Problem: Theory, Numerics, and Applications", Osaka (2004),  Yokohama Publishers, 117-124, 2006.
22. D. Kröner and M.D. Thanh, Numerical solutions to compressible flows in a nozzle with variable cross-section, SIAM J. Numer. Anal. 43(2), (2005) 796—824.
23. T. Pham Dinh, C. Rohde, and M.D. Thanh, A variational approach for approximating solutions to phase transition dynamics via time discretization, Proc.MCO’04, Hermes Edition, (2004), 383-391.
24. C. Rohde and M.D. Thanh, Global existence for phase transition problems via a variational scheme,  J. Hyp. Diff. Eqs., 1(4) (2004), 747-768.
25.  P.G. LeFloch and M.D. Thanh, The Riemann problem for fluid flows in a nozzle with discontinuous cross-section, Comm. Math. Sci., 1(4) 2003, 763-797.
26. P.G. LeFloch and M.D. Thanh, Properties of Rankine-Hugoniot curves for Van der Waals fluid flows, Japan J. Indus. & Appl. Math., 20 (2), (2003), 211-238.
27.  P.G. LeFloch and M.D. Thanh, Non-classical Riemann solvers and kinetic relations. II. An hyperbolic-elliptic model of phase-transition dynamics, Proc. Roy. Soc. Edinburgh Sect. A 132 (2002), no. 1, 181--219.
28. T.D. Van, M.D. Thanh and N.H. Tho, On-Lax-Oleinik-type formulas for weak solution to scalar conservation laws, Viet. J. Math., 30 (2002), 193-198.
29. J.M. Correia, P.G. LeFloch and M.D. Thanh, Hyperbolic Systems of Conservation Laws with Lipschitz Flux-Functions: the Riemann Problem, Bol. Soc. Brasil Mat., 32 (2001), No. 3, 271-301.
30. T.D. Van and M.D. Thanh, On Representation of viscosity solutions to nonconvex-nonconcave Hamilton-Jacobi equations, Acta Math. Viet., 26 (2001), 395-405.
31. P.G. LeFloch and M.D. Thanh, Nonclassical Riemann solvers and kinetic relations. I. A nonconvex hyperbolic model of phase transitions, Z. Angew. Math. Phys. 52 (2001), no. 4, 597--619.
32.  P.G. LeFloch and M.D. Thanh, Nonclassical Riemann solvers and kinetic relations. III. A nonconvex hyperbolic model for van der Waals fluids, Electron. J. Diff. Equations, vol. 2000, No. 72, 19 pp
33. T.D. Van and M.D. Thanh, The Oleinik-Lax-type Formulas for Multi-time Hamilton-Jacobi Equations, Adv. Math. Sci. Appl., 10 (2000), no. 1, 239--264
34. T.D. Van, M.D. Thanh and R. Gorenflo, A Hopf-Type Formula for ut + H(t,u,Du)=0, Viet. J. Math., 26 (1998), no. 4, 385—389
35. T.D. Van, M.D. Thanh, and N. Hoang, On the representation of Lipschitz global solutions of the Cauchy problem for Hamilton-Jacobi equations. Proc. Conf. Analysis and mechanics of continuous media (Ho Chi Minh City, 1995), 428--436.