Contact Info
Office (Math): 3313 Kirwan Hall
Phone (Math): 301-405-5067
Office (IPST): 4309 Atlantic Building
Phone (IPST): 301-405-5127
Charles David Levermore
Professor of Mathematics
Center for Scientific Computation and Mathematical Modeling
Institute for Physical Science and Technology
Applied Mathematics & Statistics, and Scientific Computation Program
Burgers Program for Fluid Dynamics

Research interests: hinetic equations, Hyperbolic systems, Boltzmann equations, hydrodynamic limits, damped-driven chaotic and stochastic systems, numerical schemes for PDEs

Much of my research has revolved around the central theme of understanding how large-scale behaviors emerge from dynamics or structures on small-scales. This includes the classical question of statistical physics about the macroscpic desciption of systems of large numbers of particles given known microscopic physics. It also includes studies of semiclassical limits of nonlinear wave equations, convergence of numerical schemes, turbulence modeling, derivations of shallow water systems, derivations of fluid dynamical systems from kinetic theories, radiation transport through random media, and many other areas. These problems all fall into the what is now called the class of "multiscale" problems.