Alexis F. VASSEUR

EDUCATION:

• B.S., Mathematics, Ecole Normale Supérieure, rue d'Ulm, PARIS, 1993.

• M.A., Mathematics, Ecole Normale Supérieure, 1995.

• Ph.D., Mathematics, University of Jussieu (Paris 6), 1999. Thesis Advisor: Yann Brenier.

APPOINTMENTS:

• Professor, Department of Mathematics, University of Texas at Austin, from August 2011 to present.

• Professor, Mathematical Department, University of Oxford, UK, 2010-2011.

• Associate Professor, department of Mathematics, University of Texas at Austin, 2007-2011.

• Assistant Professor, department of Mathematics, University of Texas at Austin, 2003-2007.

• Permanent position of Researcher at the C.N.R.S. (National center of scientific research, France), University of Nice, 1999--2003.

RESEARCH INTERESTS:

• Fluid mechanics, Navier-Stokes equations.

• Integral operators.

• Hyperbolic conservation laws.

• Kinetic equations, hydrodynamical limits.

GRANTS & HONORS:

• Closing plenary lecture of the ``14th International Conference on Hyperbolic Problems", Padova June 25-29, 2012, (~340 participants).

• The paper "Drift diffusion equations with fractional diffusion and the quasi-geostrophic equation" (Ann. Math. 171[3]: 1903-30, May 2010) has been identified by Thomson Reuters Essential Science IndicatorsSM as a featured New Hot Paper in the field of Mathematics, which means it is one of the most-cited papers in this discipline published during the past two years.

• Plenary Lecture at the SIAM conference DSPDEs'10, May/June 2010.

• National Science Foundation: Grant award, 2012-2015.

• National Science Foundation: Grant award, 2009-2012.

• National Science Foundation: Grant award, 2006-2009.

• Frank Gerth III Faculty fellowship: 2009-2010.

• President's associates centennial teaching fellowship: 2008-2009.

• University of Texas Summer Research Appointment, 2005.

STUDENTS:

• Young Sam Kwon
  Ph.D., University of Texas, 2007
  Thesis: Strong Trace for Degenerate Parabolic-Hyperbolic Equations and Applications
  Assistant Professor
  Dong-A university, Busan, South Korea.

• Chi-Hin Chan
  Ph.D., University of Texas, 2008
  Thesis: The De Giorgi's Method as Applied to The Regularity Theory for Incompressible Navier Stokes Equations.
  Assistant Professor
  National Chiao Tung University, Taiwan.

• Craig Michoski
  Ph.D., University of Texas, 2009 (co-advised with John F. Stanton, chemistry department)
  Thesis: Evolution equations in chemical systems.
  Postdoctoral Researcher
  ACCES, The university of Texas at Austin.

• Nicholas Leger
  Ph.D. University of Texas, 2010
  Thesis: A Fragmentation Model for Sprays and L2 Stability Estimates for Shocks Solutions of Scalar Conservation Laws Using the Relative Entropy Method.
  Postdoctoral Researcher
  University of Carnegie Mellon.

• Kyudong Choi
  Ph.D. University of Texas, 2012
  Thesis: Estimates on derivatives for the Navier-Stokes equations and Holder continuity for integro-differential equations.
  Postdoctoral Researcher
  University of Wisconsin at Madison.

SERVICES AND COMMITTEES:

Synergistic activities:

• Panelist for the NSF DMS Career Panel (November 2008).

• Associate Editor for M3AS (Math. Models and Methods in Applied Sciences) (From January 2009).

• Assistant Graduate Adviser: 2009-2010.

• Panelist for the NSF DMS Applied math panel (Spring 2010).

Committees:

• Tenure and Promotion committee, 2011--2013, College of Natural Science.

• Tenure and Promotion committee, 2011--2013, Math department.

• Strategic planning committee, 2011--2013, Math department.

• Chair committee, 2011--2013, Math department.

• Hiring committee (Chair), 2012--2013, Math department.

• Committee for the Applied Math. prelims in the graduate program, January 2005-2010 ( Chair in August 2006) August 2012.

• Advisory Committee for recruitment of "Maitre de conferences" at the university of Nice and at the university of Marseille, 2001--2003.

Conference Organizer:

• Minisymposium co-organizer on "Boltzmann Equations in transport theory" with Prof. Gamba and Prof. Carvalho in the SIAM Conference on Ananlysis of Partial Differential Equations in Houston, December 6-8 2004.

Seminar Chair:

• Lunch Seminar at the OXPDE group of the Mathematical Department of the University of Oxford, UK 2010-2011.

• Weekly EDP seminar Chair at the university of Nice 2002--2003.

Publications Reviewer:

SIAM J.Mathematical Analysis, Communications in Mathematical Physics, Mathematical modelling and numerical analysis, Mathematical Models and Methods in Applied Sciences, Mathematical Analysis and Applications, Communications in PDEs, Numerische Mathematik, SIAM Journal of Numerical Analysis, Annales de l'Institut Henri Poicarre.

INVITED TALKS AND LECTURES since 2007:

2012:

• Mathematical Aspects of Hydrodynamics, MFO Oberwolfach (Germany), August 12th - August 18th, 2012, ``Relative entropy applied to shocks for the compressible Euler equation".

• Closing plenary lecture at the14th International Conference on Hyperbolic Problems: Theory, Numerics, Applications, Padova (Italy), June 25-29, 2012, ``Relative entropy applied to shocks for the compressible Euler equation".

• Nonlocal Operators: Analysis, Probability, Geometry and Applications, Bielefeld (Germany), July 9th - 14th, 2012, ``Integral Variational Problems".

• Seminar at the University of Toulouse (France), June 19, ``Integral Variational Problems".

• 5th Symposium on Analysis and PDEs, Perdue University, May 20-23, 2012, ``Regularity theory for nonlocal variational problems".

• Workshop on Hyperbolic conservation laws and infinite-dimensional dynamical systems, University of Pittsburgh, March 30 - April 1, 2012. ``Relative entropy applied to shocks for the compressible Euler equation".

• Colloquium, University of Maryland, March 14th, ``De Giorgi methods applied to regularity issues in Fluid Mechanics".

2011:

• Symposium on 3D Euler equation and Navier-Sokes equation, City University of New York, October 27th, 2011, ``Drift diffusion equation with fractional diffusion and the Surface Quasigeostrophic equation".

• Hyperbolic Conservation laws and related analysis, ICMS Edinburgh (UK), ``L^2 Stability of shocks for conservation laws".

• oxPDE-Royal Society International Seminars, Entropy and Convexity for Nonlinear Partial Differential Equations 16-17 June 2011, Kavli Royal Society International Centre (UK), "Integral variational problems".

• Oxbridge PDE Days, Oxford University (UK), 26 and 27 April 2011, "Regularity theory for nonlinear integral operators".

• Conference in Honour of the 70th birthday of Prof. Bardos, University of Nice, 21-25 February 2011, "Relative entropy method applied to the stability of shocks for systems of conservation laws".

2010:

• Newton Institute seminar, Cambridge University (UK), September 7 2010, "Relative entropy method applied to the stability of shocks for systems of conservation laws".

• Partial Differential Equations in Kinetic Theories: Tutorials for Graduate Students, Cambridge University (UK), August 25-26 2010, "Regularity theory for non linear singular integral operators based on De Giorgi techniques".

• Partial Differential Equations & Fluid Mechanics 2010, University of Warwick (UK), 5th-9th July 2010, "Regularity of Solutions of Some Non Linear Integral Variational Problems".

• International Summer School on Mathematical Fluid Dynamics, Levico Terme, Italy, "The De Giorgi method for regularity of solutions of elliptic equations and its applications to fluid dynamics".

• Seminar, June 11 2010, Universite Pierre et Marie Curie (Paris 6), France, "Conservation laws, relative entropy, and shocks".

• Plenary lecture, Emerging Topics in Dynamical Systems and Partial Differential Equations, DSPDEs 10, June 1 2010, Barcelona, Spain, "Regularity of solution to a class of nonlinear integral operators".

• Workshop Nonlinear Analysis and PDEs, April 16 2010, Austin, Texas, "Conservation laws, relative entropy, and shocks".

• Seminar, February 24 2010, Stanford University, "Regularity theory for a family of nonlinear integral equations".

• Colloquium of the Center for Applied Mathematical Sciences, February 2 2010, University of Southern California, Los Angeles, "The partial regularity results for Navier-Stokes revisited".

• France-China summer institute on mathematics, January 6 2010, Morningside Institute, Beijing, China, "Estimates on higher derivatives for the Navier-Stokes equation".

2009:

• Seminar, December 2 2009, University of Houston, "Global regularity for a class of systems of reaction-diffusion equations".

• FRG annual meeting, Kinetic Description of Multiscale Phenomena, September 25 2009, University of Maryland, "Global regularity for a class of systems of reaction-diffusion equations".

• Workshop on Regularity problems in hydrodynamics, August 4 2009, PIMS Vancouver, Canada, "Estimates on higher derivatives for the Navier-Stokes equation".

• IMA Summer program on Conservation laws, July 29 2009, University of Minnesota, "Global regularity for a class of Reaction-Diffusion systems".

• Workshop on Mathematical Aspects of Hydrodynamics, July 20 2009, Oberwolfach, Germany, "Estimates on higher derivatives for the Navier-Stokes equation".

• Workshop on Applied Math, July 3 2009, Bilbao, Spain, "Estimates on higher derivatives for the Navier-Stokes equation".

• Conference on Kinetic equations, June 25 2009, Banff, Canada, "Global regularity for a class of Reaction-Diffusion systems".

• Seminar, June 9 2009, University of Pisa, Italy, "Estimates on higher derivatives for the Navier-Stokes equation".

• College de France, Paris, June 5 2009, "Recent Results in Fluid Mechanics".

• Lecture at the Kazov School on Fluid Mechanics (former Paseky School), Kazov, Czech Republic, 23-29 May 2009, "Application of De Giorgi methods to Fluid Mechanics".

• Riviere-Fabes Symposium, University of Minnesota, April 18 2009, "Recent Results in Fluid Mechanics".

• AIM Workshop on the 3D Euler and 2D SQG equations, Palo Alto, April 6 2009, "Global regularity for the SQG equation in the critical case".

2008:

• Minisymposium "non linear fluid equations" in the SIAM Conference on Nonlinear Waves and Coherent Structures (NW08), July 24 2008, Roma, "Higher derivatives estimates for the Navier-Stokes equation".

• Seminar, The Academy of Sciences of the Czech Republic, June 2008, "Higher derivatives estimates for the Navier-Stokes equation".

• Seminar, University of Chicago, March 5 2008, "Higher derivatives estimates for the Navier-Stokes equation".

• Seminar, UBC Vancouver Canada, January 9 2008, "A bound from below for the temperature in compressible Navier-Stokes equations".

2007:

• Minisymposium Kinetic Theory and Interacting Particle Systems, SIAM Conference on Analysis of Partial Differential Equations, Phoenix, December 10-12 2007, "Regularity Result for Drift-Diffusion Equations with Fractional Laplacian".

• Seminar, Georgia Tech, November 6 2007,"C^a regularity for the quasi-geostrophic equation in the critical case".

• Seminar, University of Maryland, October 30 2007, "C^a regularity for the quasi-geostrophic equation in the critical case".

• Special Session on Nonlinear Conservation Laws and Related Problems, AMS Meeting, Chicago, October 5-6 2007, "A bound from below for the temperature in compressible Navier-Stokes equations".

• Seminar, Technische Universitat (Vienna, Austria), June 5 2007, "C^a regularity for the quasi-geostrophic equation in the critical case".

• Seminar, Academy of Sciences of the Czech Republic (Prague, Czech Republic), May 23 2007, "A bound by below for the temperature for Navier-Stokes".

• Seminar, University of Chicago, April 11 2007, "C^a regularity for the quasi-geostrophic equation in the critical case".

• Seminar, College Station, February 14 2007, "A new proof of partial regularity for Navier-Stokes equations".