Most of my papers are on Arxiv
My publications on Mathscinet
Me on Google Scholar
Me on Research Gate



Fluid Dynamics

  • Green function for the linearized Navier-Stokes around a boundary layer: the unstable case, with E. Grenier.
    Preprint, 2016.  
  • Ill-posedness of the hydrostatic Euler and singular Vlasov equations, with D. Han-Kwan, 
    Arch. Ration. Mech. Anal., to appear, pdf file.
  • Prandtl boundary layer expansions of steady Navier-Stokes over a moving plate, with Y. Guo, 
    preprint 2014.  pdf file. 
  • Remarks on the inviscid limit for the compressible flows, with C. Bardos, 
    Contemporary Mathematics, AMS,
     to appear. pdf file
  • Spectral stability of Prandtl boundary layers: an overview, with Grenier and Guo. 
    Analysis (Berlin) 35 (2015), no. 4, 343-355. pdf file

  • Spectral instability of characteristic boundary layer flows, with Grenier and Guo. 
    Duke Math J, to appear. pdf file
  • Spectral instability of symmetric shear flows in a two-dimensional channel, with Grenier and Guo.
    Advances in Math, to appear. pdf file 

  • Topography influence on the Lake equations in bounded domains, with C. Lacave and B. Pausader, 
    J. Math. Fluid appear. 
    pdf file. 
  • Boundary layers interactions in the plane parallel incompressible flows (with F. Sueur), 
    Nonlinearity, 25 (2012) 3327--3342. pdf file
  • A note on the Prandtl boundary layers (with Y. Guo). 
    Comm. Pure Appl. Math., 64 (2011), no. 10, 1416--1438. pdf file
  • Remarks on the ill-posedness of the Prandtl equation (with D. Gerard--Varet). 
    Asymptotic Analysis, 77 (2012), no. 1-2, 71--88. pdf file


Kinetic theory:

  • Uniform in time lower bound for solutions to a Quantum Boltzmann of bosons, with M-B. Tran.
    preprint, May 2016. pdf file 
  • Instabilities in the mean field limit, with D. Han-Kwan
    Journal of Statistical Physics, to appear.  pdf file.  
  • Ill-posedness of the hydrostatic Euler and singular Vlasov equations, with D. Han-Kwan,
    Arch. Ration. Mech. Anal., to appear. pdf file (also listed above!)
  • Nonlinear instability of Vlasov-Maxwell systems in the classical and quasineutral limits, with D. Han-Kwan,
    SiAM J Math Analysisto appear, pdf file
  • Global magnetic confinement for the 1.5D  Vlasov-Maxwell system, with T. V. Nguyen and W. Strauss. 
    Kinetic and Related Models, to appear, 2014. pdf file
  • Linear Stability Analysis of a Hot Plasma in a Solid Torus, with W. A. Strauss. 
    Arch. Ration. Mech. appear. pdf file
  • Stability analysis of collisionless plasmas with specularly reflecting boundary, with W. A. Strauss. 
    SIAM J. Math. Anal., 45(2013), no. 2, 777--808. pdf file


Instability of first-order systems:

  • The onset of instability in first-order systems, with N. Lerner and B. Texier,
    Journal of the European Math. Society. to appear. pdf file


Traveling waves in oscillatory media:

  • Nonlinear stability of source defects in the complex Ginzburg-Landau equation, with M. Beck, B. Sandstede, and K. Zumbrun. 
    Nonlinearity, to appear.  pdf file.
  • Toward nonlinear stability of sources via a modified Burgers equation (with M. Beck, B. Sandstede, and K. Zumbrun). 
    Physica D, 241 (2012), no. 4, 382--392. pdf file


Shock Wave Theory:

  • Multi-dimensional stability of Lax shocks in hyperbolic-elliptic coupled systems. 
    Journal of Differential Equations, 252 (2012), no. 1, 382--411. pdf file
  • Stability of radiative shock profiles for hyperbolic-elliptic coupled systems (with R. Plaza and K. Zumbrun). 
    Phys. D, 239 (2010), no. 8, 428--453. pdf file
  • Stability of scalar radiative shock profiles (with C. Lattanzio, C. Mascia, R. Plaza, and K. Zumbrun). 
    SIAM J. Math. Anal. 41 (2009/10), no. 6, 2165--2206. pdf file
  • Stability of multi-dimensional viscous shocks for symmetric systems with variable multiplicities. 
    Duke Math. J. 150 (2009), no. 3, 577--614. pdf file


 Non-characteristic Boundary Layers for compressible flows: 

  • Long-time stability of multi-dimensional noncharacteristic viscous boundary layers (with K. Zumbrun). 
    Comm. Math. Phys., 299 (2010), no. 1, 1--44. pdf file
  • On asymptotic stability of noncharacteristic viscous boundary layers. 
    SIAM J. Math. Anal., 42 (2010), no. 3, 1156--1178. pdf file
  • Long-time stability of large-amplitude noncharacteristic boundary layers of general hyperbolic-parabolic conservation laws (with K. Zumbrun). 
    J. Math. Pures Appl. (9) 92 (2009), no. 6, 547--598. pdf file
  • Spectral stability of noncharacteristic isentropic Navier--Stokes boundary layers (with N. Costanzino, J. Humpherys, and K. Zumbrun). 
    Arch. Ration. Mech. Anal. 192 (2009), no. 3, 537--587. pdf file


Elliptic/parabolic regularity theory

  • Regularity and coexistence problems for strongly coupled elliptic systems (with D. Le and L. Nguyen). 
    Indiana Univ. Math. J., 56 (2007), no. 4, 1749--1791 pdf file
  • Global attractors and uniform persistence for cross diffusion parabolic systems (with D. Le). 
    Dyn. Sys. and Apps. 16 (2007), no. 2, 361--377. pdf file
  • Everywhere regularity for degenerate cross diffusion systems (with D. Le). 
    Comm. in PDEs, 31 (2006), no. 1-3, 307--324. pdf file
  • Persistence for a class of triangular cross diffusion parabolic systems (with D. Le). 
    Adv. Non. Stud., 5 (2005), no. 4, 493--514. pdf file
  • Global existence for a class of triangular parabolic systems on domains of arbitrary dimension (with D. Le). 
    Proc. of AMS, 133(2005), 1985-1992. pdf file
  • Shigesada-Kawasaki-Teramoto model on higher dimensional domains (with D. Le and L. Nguyen). 
    Elec. J. Diff. Eqs., 2003, No. 72. pdf file



  • E. Grenier, Y. Guo, and T. Nguyen, on the spectral instability of parallel shear flows, Séminaire Laurent Schwartz — EDP et applications (2014-2015), Exp. No. 22, 14 p. pdf file
  •  T. Nguyen and K. Zumbrun, Long-time stability of noncharacteristic viscous boundary layers. Séminaire Équations aux dérivées partielles (Polytechnique) (2009-2010), Exp. No. 6, 15 p. . pdf file




  1. Asymptotic stability of noncharacteristic viscous boundary layers, Ph.D. thesis, Indiana University, 2009. pdf file
  2. Cross diffusion systems, M.S. thesis, University of Texas at San Antonio, 2006. pdf file
  3. Semi-group theory and fractional power operators, B.S. thesis, Vietnam National University, HoChiMinh city, 2002.