
Alexis F Vasseur
Professor
Department of Mathematics
John T. Stuart III Centennial Professorship in MathematicsPartial Differential Equationsvasseur@math.utexas.edu
Phone: 5124712363
Office Location
PMA 11.172
Postal Address
2515 SPEEDWAY
AUSTIN, TX 78712

Ph.D., Ecole Normale Superieure, University of Jussieu/ Paris VI, France(1999)
Research Interests
Partial Differential Equations
Fluid mechanics, NavierStokes equations, Integral operators, Hyperbolic conservation laws, Kinetic equations, hydrodynamical limits.

Recent Published and Accepted Articles in refereed Journals:
[1] F. Golse, C. Imbert, C. Mouhot, and A. Vasseur, Harnack inequality for kinetic FokkerPlanck equations with rough coefficients and application to the Landau equation, to appear in Annali della Scuola Normale Superiore di Pisa, Classe di Scienze.
[2] A. Vasseur, H. Wen, and Ch. Yu, Global weak solution to the viscous twophase model with finite energy, to appear in JMPA.
[3] M. Novack and A. Vasseur, Global in time classical solutions to the 3D quasigeostrophic system for large initial data, Comm. Math. Phys. 358 (2018), no. 1, 237267.
[4] C. ChainaisHillairet, B. Merlet, and A. Vasseur, Positive lower bound for the numerical solution of a convectiondiffusion equation, Finite volumes for complex applications VIII  methods and theoretical aspects, 331339, Springer Proc. Math. Stat., 199, Springer, Cham, 2017.
[5] L. Stokols and A. Vasseur, De Giorgi techniques applied to HamiltonJacobi equations with unbounded righthand side, to appear in CMS.
[6] I. LacroixViolet and A. Vasseur, Global weak solutions to the compressible quantum NavierStokes equation and its semiclassical limit, J. Math. Pures Appl. (9) 114 (2018), 191210.
[7] Ch.H. Chan and A. Vasseur, De Giorgi techniques applied to the Holder regularity of solutions to HamiltonJacobi equations, From particle systems to partial differential equations, 117137, Springer Proc. Math. Stat., 209, Springer, Cham, 2017.
[8] M. Allen, L. Caffarelli and A. Vasseur, Porous medium flow with both fractional potential pressure and fractional time derivative, Chin. Ann. Math. Ser. B 38 (2017), no. 1, 4582.
[9] A. Vasseur and L. Yao, Nonlinear stability of viscous shock wave to onedimensional compressible isentropic NavierStokes equations with density dependent viscous coefficients, Commun. Math. Sci. 14 (2016), no. 8, 22152228.
[10] M.J. Kang and A. Vasseur, Criteria on contractions for entropic discontinuities of systems of conservation laws, Arch. Ration. Mech. Anal. 222 (2016), no. 1, 343391.
https://web.ma.utexas.edu/users/vasseur/documents/publications.html

 Fellow of the American Mathematical Society.
 National Science Foundation: Grant Award 20122015, 20092012, 20062009.
 Frank Gerth III Faculty fellowship: 20092010.
 President's associates centennial teaching fellowship: 20082009.
 University of Texas Summer Research Appointment, 2005.