Robert M. Strain
University of Pennsylvania
David Rittenhouse Lab
209 South 33rd Street
Philadelphia, PA 19104-6395
Phone: (215) 898-4828
Office: DRL 3E5
Welcome to my home page. I am now an Associate Professor in the
Department of Mathematics and an affiliated faculty member of the Applied Mathematics and Computational Science graduate program at the University of Pennsylvania.
My research focuses on the analysis of non-linear partial differential equations which arise in physical contexts. I have particular interests in the equations of gas dynamics and fluid flow, such as the Boltzmann equation and the incompressible Navier-Stokes equations. Recently, I've also been working on Free boundary problems and Harmonic analysis.
Selected Research Papers
The Boltzmann equation, Besov spaces, and optimal time decay rates in $\R^n_x$, with
Submitted, 58 pages, 2012 (arXiv:1206.0027v1)
The Vlasov-Poisson-Landau System in $\R^3_x$, with Keya Zhu.
Submitted, 50 pages, 2012 (arXiv:1202.2471v1)
A non-local inequality and global existence,
Philip T. Gressman
230 (2012), no. 2, 642--648. (arXiv:1202.4088v1)
On partial regularity of steady-state solutions to the 6D Navier-Stokes equations, with Hongjie Dong.
Indiana Univ. Math. J.,
to appear, 18 pages, 2011
Optimal time decay of the non cut-off Boltzmann equation in the whole space.
Kinetic and Related Models,
5 (2012), no. 3, 583--613.
Global solutions to a non-local diffusion equation with quadratic non-linearity,
with Joachim Krieger.
37 (2012), no. 4, 647--689.
Momentum Regularity and
Stability of the Relativistic Vlasov-Maxwell-Boltzmann System, with Yan Guo.
Comm. Math. Phys.,
310 (2012), no. 3, 649--673.
On the global existence for the Muskat problem,
J. Eur. Math. Soc. in press, 31 pages, 2010
Optimal Large-Time Behavior of the Vlasov-Maxwell-Boltzmann System in the Whole Space,
Commun. Pure Appl. Math
64 (2011), no. 11, 1497--1546.
Sharp anisotropic estimates for the Boltzmann collision operator and its entropy production,
Philip T. Gressman.
Hilbert Expansion from the Boltzmann equation to relativistic Fluids,
Comm. Math. Phys. 304 (2011),
Global Classical Solutions of the Boltzmann Equation without Angular Cut-off,
Philip T. Gressman.
J. Amer. Math. Soc. 24 (2011), no. 3, 771-847.
Optimal Time Decay of the Vlasov-Poisson-Boltzmann System in $\R^3$,
Arch. Ration. Mech. Anal. 199 (2011), no. 1, 291-328.
More downloadable papers...
I would like to gratefully acknowledge current and past support from the
National Science Foundation ( DMS-1200747, DMS-0901463,
DMS-0602513) and the
Alfred P. Sloan Foundation.
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