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VASSEUR, ALEXIS F

Alexis F Vasseur

Professor
Department of Mathematics

John T. Stuart III Centennial Professorship in Mathematics

Partial Differential Equations

vasseur@math.utexas.edu

Phone: 512-471-2363

Office Location
RLM 11.172

Postal Address
The University of Texas at Austin
MATHEMATICS
2515 SPEEDWAY, Stop C1200
AUSTIN, TX 78712-1202

Ph.D., Ecole Normale Superieure, University of Jussieu/ Paris VI, France(1999)

Research Interests

Partial Differential Equations

Fluid mechanics, Navier-Stokes equations, Integral operators, Hyperbolic conservation laws, Kinetic equations, hydrodynamical limits.

https://web.ma.utexas.edu/users/vasseur/documents/cv.html

Recent Published and Accepted Articles in refereed Journals:

[1] F. Golse, C. Imbert, C. Mouhot, and A. Vasseur, Harnack inequality for kinetic Fokker-Planck 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 two-phase 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, 237--267.

[4] C. Chainais-Hillairet, B. Merlet, and A. Vasseur, Positive lower bound for the numerical solution of a convection-diffusion equation, Finite volumes for complex applications VIII -- methods and theoretical aspects, 331--339, Springer Proc. Math. Stat., 199, Springer, Cham, 2017.

[5] L. Stokols and A. Vasseur, De Giorgi techniques applied to Hamilton-Jacobi equations with unbounded right-hand side, to appear in CMS.

[6] I. Lacroix-Violet and A. Vasseur, Global weak solutions to the compressible quantum Navier-Stokes equation and its semi-classical limit, J. Math. Pures Appl. (9) 114 (2018), 191--210.

[7] Ch.H. Chan and A. Vasseur, De Giorgi techniques applied to the Holder regularity of solutions to Hamilton-Jacobi equations, From particle systems to partial differential equations, 117--137, 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, 45--82.

[9] A. Vasseur and L. Yao, Nonlinear stability of viscous shock wave to one-dimensional compressible isentropic Navier-Stokes equations with density dependent viscous coefficients, Commun. Math. Sci. 14 (2016), no. 8, 2215--2228.

[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, 343--391.

 

Complete list:

https://web.ma.utexas.edu/users/vasseur/documents/publications.html

  • Fellow of the American Mathematical Society.
  • National Science Foundation: Grant Award 2012-2015, 2009-2012, 2006-2009.
  • Frank Gerth III Faculty fellowship: 2009-2010.
  • President's associates centennial teaching fellowship: 2008-2009.
  • University of Texas Summer Research Appointment, 2005.