Analysis and Applied Mathematics Seminar
Benoit Pausader
Brown University
Global dynamics in Euler-Maxwell flows
Abstract: The Euler-Maxwell equations model the behavior of a plasma as the superposition of two compressible charged fluids interacting with their self-consistent electromagnetic field. In the absence of the coupling, small disturbances can create shocks in compressible Euler equations, but we show that this instability disappears with the electromagnetic field. This reduces to a small data/global existence result for quasilinear dispersive systems. I will review different joint works with Y. Deng, Y. Guo, A. Ionescu, E. Grenier and M. Suzuki.
Monday March 2, 2020 at 4:00 PM in 636 SEO