BROWN UNIVERSITY
 
Toan Nguyen
Prager Assistant Professor
 
   
 

Submitted papers
Published Articles
 Lecture Notes
Proceedings
Theses

  


Publications

  


 
   

Submitted papers: (Most of my papers are on Arxiv)

  1. Stability Analysis of a Hot Plasma in a Solid Torus, with Walter Strauss (49 pages).

  2. Stability analysis of collisionless plasmas with specularly reflecting boundary (with Walter A. Strauss) pdf file.pdf file

  3. Boundary layers interactions in the plane parallel incompressible flows (with Franck Sueur) pdf file.

  
     
   
     
 

 

  
       
     

 

  
 

Published Articles:

  1. Toward nonlinear stability of sources via a modified Burgers equation (with M. Beck, B. Sandstede, and K. Zumbrun)
    Physica D, to appear. pdf file.
     
  2. A note on the Prandtl boundary layers (with Y. Guo)
    Comm. Pure Appl. Math. to appear. pdf file.
     
  3. Multi-dimensional stability of Lax shocks in hyperbolic-elliptic coupled systems.
    J. Diff. Eqs., to appear.     pdf file
     
  4. Remarks on the ill-posedness of the Prandtl equation (with D. Gérard–Varet)
    Asymptotic Analysis, to appear. pdf file.
     
  5. Long-time stability of multi-dimensional noncharacteristic viscous boundary layers (with K. Zumbrun).
    Communications in Mathematical Physics, 299 (2010), no. 1, 1–44. pdf file
     
  6. Stability of radiative shock profiles for hyperbolic-elliptic coupled systems (with R. Plaza and K. Zumbrun).
    Physica D, 239 (2010), no. 8, 428–453. pdf file
     
  7. On asymptotic stability of noncharacteristic viscous boundary layers.
    SIAM J. Math. Analysis, 42 (2010), no. 3, 1156–1178 pdf file
     
  8. Stability of scalar radiative shock profiles (with C. Lattanzio, C. Mascia, R. Plaza, and K. Zumbrun),
    SIAM J. Math. Analysis, 41 (2009/10), no. 6, 2165–2206. pdf file
     
  9. Stability of multi-dimensional viscous shocks for symmetric systems with variable multiplicities,
    Duke Math. Journal, 150 (2009), no. 3, 577–614.  pdf file
     
  10. Long-time stability of large-amplitude noncharacteristic boundary layers of general hyperbolic-parabolic conservation laws (with K. Zumbrun).
    J. Maths. Pures et Appliquées, (9) 92 (2009), no. 6, 547–598. pdf file
     
  11. 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
     
  12. Regularity and coexistence problems for strongly coupled elliptic systems (with D. Le and L. Nguyen),
    Indiana University Mathematics Journal    , 56 (2007), no. 4, 1749--1791, pdf file
     
  13. Global attractors and uniform persistence for cross diffusion parabolic systems (with D. Le), Dynam. Systems Appl. 16 (2007), no. 2, 361--377.

  14. Everywhere regularity for degenerate cross diffusion systems.(with D. Le) Comm. Partial Differential Equations 31 (2006), no. 1-3, 307--324. pdf version

  15. Persistence for a class of triangular cross diffusion parabolic systems (with D. Le) Advanced Nonlinear Studies, 5 (2005), no. 4, 493--514.

  16. Global existence for a class of triangular parabolic systems on domains of arbitrary dimension (with D. Le). Proceedings of AMS, 133(2005), 1985-1992.

  17. Shigesada-Kawasaki-Teramoto model on higher dimensional domains (with D. Le and L. Nguyen). E. J. Diff. Eqs.  2003, No. 72.


Lecture Notes:

updating....

Proceedings:

  1. Long-time stability of noncharacteristic viscous boundary layers (with K. Zumbrun),
    Seminar 2009-2010    : Équations aux dérivées partielles (Polytechnique). Exp. No 6, 15pp. pdf file     
Theses:
  1. PhD thesis: Asymptotic stability of noncharacteristic viscous boundary layers, May 2009 (254 pages)
    Indiana University. Advisor: Professor Kevin Zumbrun
     
  2. Master thesis: Cross Diffusion Systems, August 2006 (117 pages)
    Univ-Texas at San Antonio. Advisor: Professor Dung Le)
     

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