Alexis Vasseur
- Professor
- Mathematics
John T. Stuart III Centennial Professorship in Mathematics (Fellow)
John T. Stuart III Centennial Professorship in Mathematics (Holder)
Affiliated Faculty, Oden Institute
Contact Information
Biography
Alexis Vasseur earned his Ph.D. in mathematics at the Pierre et Marie Curie University (Sorbonne University) in Paris (France). He held permanent positions at the CNRS (France), and at the University of Oxford (UK). He now holds the John T. Stuart III Centennial Professorship in Mathematics at the University of Texas at Austin and is a Fellow of the American Mathematical Society since 2016.
Vasseur's concerns the mathematical study of partial differential equations applied to fluid mechanics.
Research
Partial Differential Equations
Fluid mechanics, Navier-Stokes equations, Integral operators, Hyperbolic conservation laws, Kinetic equations, hydrodynamical limits.
Research Areas
- Mathematics
Fields of Interest
- Analysis
Education
- Ph.D., Ecole Normale Superieure, University of Jussieu/ Paris VI, France(1999)
Publications
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.
https://web.ma.utexas.edu/users/vasseur/documents/publications.html
Awards
- 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.