Assoc. Prof. Dr. Mai Đức Thành

EDUCATION

• B.Sc. in Mathematics,  Pedagogical University of Hue, Vietnam, 1991-1995.
• M.Sc. in Numerical Analysis, Ecole Polytechnique de Paris, France, 1999 – 2000;
• Ph.D. in Numerical Analysis, Ecole Polytechnique de Paris, France, 2000 – 2003

RESEARCH INTERESTS

• Numerical Analysis
• Partial Differential Equations
• Mathematical analysis of shock waves in hyperbolic systems of balance laws

TEACHING

• Môn giảng dạy 1
• Môn giảng dạy 2
• Môn giảng dạy 3

PUBLICATIONS

• M.D. Thanh and D.H. Cuong, Existence of solutions to the Riemann problem for a model of two-phase flows, Elect. J. Diff. Eqs., Vol. 2015 (2015), No. 32, pp. 1-18.
• D.H. Cuong and M.D. Thanh, A Godunov-type scheme for the isentropic model of a fluid flow in a nozzle with variable cross-section, Appl. Math. Comput., http://dx.doi.org/10.1016/j.amc.2015.01.024
• M.D. Thanh, N.H. Hiep, Existence of traveling waves to any Lax shock satisfying Oleinik’s criterion in conservation laws, Appicable Anal.,DOI:10.1080/00036811.2014.915520
• M.D. Thanh, A phase decomposition approach and the Riemann problem for a model of two-phase flows, J. Math. Anal. Appl,. 418 (2014), pp. 569-594.
• M.D. Thanh and D.Kroener, Testing improvements of a well-balanced method for the model of a fluid in a nozzle with variable cross-section, Taiwan. J. Math., DOI: 10.11650/tjm.18.2014.4092
• M.D. Thanh, N.H. Hiep, On traveling waves in viscous-capillary Euler equations with thermal conductivity, Appl. Math. Comput., 234C (2014), pp. 127-141
• M.D. Thanh, Building fast well-balanced two-stage numerical schemes for a model of two-phase flows, Commun. Nonl. Sci. Num. Simulat., 19 (2014) 1836–1858
• M.D. Thanh, D.H. Cuong, Properties of the wave curves in the shallow water equations with discontinuous topography, Bull. Malays. Math. Sci. Soc., (accepted for publication).
• M.D. Thanh, N.D. Huy, N.H. Hiep, D.H. Cuong, Existence of traveling waves in van der Waals fluids with viscosity and capillarity effects, Nonlinear Analysis: TMA, 95 (2014), 743–755.
• M.D. Thanh, Well-balanced Roe-type numerical scheme for a model of two-phase compressible flows, J. Korean Math. Soc. 51 (2014), No. 1, pp. 163-187
• M.D. Thanh, Remarks on traveling waves and equilibria in fluid dynamics with viscosity, capillarity, and heat conduction, Nonlinear Analysis: RWA, 16 (2014) 40–47
• M.D. Thanh, Numerical treatment in resonant regime for shallow water equations with discontinuous topography, Commun. Nonl. Sci. Num. Simulat., 18 (2013) 417–433
• M.D. Thanh, D. Kroener, Numerical treatment of nonconservative terms in resonant regime for fluid flows in a nozzle with variable cross-section, Computers & Fluids, 66 (2012), 130–139
• M.D. Thanh, D. Kroener, C. Chalons, A robust numerical method for approximating solutions of a model of two-phase flows and its properties, Appl. Math. Comput., 219 (2012) 320-344
• M.D. Thanh, Existence of traveling waves in compressible Euler equations with viscosity and capillarity, Nonlinear Analysis: TMA 75 (2012), 4884-4895
• M.D. Thanh, Exact solutions of a two-fluid model of two-phase compressible flows with gravity, Nonlinear Analysis: RWA 13 (2012), 987-998
• 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
• 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
• 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
• M.D. Thanh, Remarks on nonclassical shock waves for Van der Waals fluids, Acta Math. Viet., Volume 36, Number 2, (2011), 451-468
• M.D. Thanh, Traveling waves of an elliptic-hyperbolic model of phase transitions via varying viscosity-capillarity, J. Differential Equations 251 (2011), 439-456.
• 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.
• M.D. Thanh, Existence of traveling waves in elastodynamics with variable viscosity and capillarity, Nonlinear Analysis: RWA 12 (2011), 236-245.
• M.D. Thanh, Attractor and traveling waves of a fluid with nonlinear diffusion and dispersion, Nonlinear Analysis: TMA 72 (2010), 3136-3149.
• M.D. Thanh, Global existence of diffusive-dispersive traveling waves for general flux functions, Nonlinear Analysis: TMA 72 (2010), 231-239
• M.D. Thanh, The Riemann problem for a non-isentropic fluid in a nozzle with discontinuous cross-sectional area, SIAM J. Appl. Math. 69 (2009) ,1501—1519.
• M.D.Thanh and A.Izani Md. Ismail, Well-balanced scheme for a one-pressure model of two-phase flows, Physica Scripta, 79, 2009.
• 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
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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.
• 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
• 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
• 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

OTHER INFORMATION

Permanent:

• Associate Professor, International University, Vietnam National University-Ho Chi Minh City, from 2010
• Assistant Professor,  International University, Vietnam National University-Ho Chi Minh City, 2005-2010
• Assistant Professor, University of Technology, Vietnam National University-Ho Chi Minh City, 2004-2005
• Researcher, Hanoi Institute of Mathematics,  Vietnamese Academy of Science and Technology, 1995-2004

Visiting:

• Visiting lecturer, LAGA, University of Paris 13, May 2005
• Postdoc, Institute of Applied Mathematics, University of Freiburg, Germany, 2003-2004. Host: D. Kroener.
• Visiting scolar, Department of Mathematics, University of Houston, Texas, June 2004
• Visiting, Center for Risk Study and Safety, University of California, Santa Barbara, May 2004
• Visiting, Isaac Newton Institute for Mathematical Sciences, University of Cambridge, February-March 2003
• Visiting, CEMRACS, Luminy, France, July-August 1999
• Visiting, ICTP, Trieste, Italy, September-October 2006