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Contact Info
Office: 4309 ATL
Phone: 301-405-5127
C. David Levermore
Professor of Mathematics and IPST
Education

Research Interests: Much (but not all) 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.Keywords: Multiscale problems, Boltzmann Equations, Nonlinear Wave Equations