Stability of the neutral state for the 2 fluid Euler-Maxwell system

Monday, October 14, 2013 -
3:15pm to 4:15pm
This is a joint work with Y. Guo and A. Ionescu. We consider the 2 fluid Euler-Maxwell problem in the whole 3d space. We show that small and smooth irrotational initial perturbations lead to solutions which remain globally smooth and scatter back to equilibrium. This shows a stabilization effect due to the electromagnetic field since in the absence of electromagnetic field, a classical result of Sideris shows that formation of shock is expected for compressible fluids.   The proof consists of a combination of energy estimates to provide a first rough control and nonlinear stationary phase estimates to obtain decay of the solution. However the presence of electron accoustic wave introduces new degeneracies in the phase functions.
Benoit Pausader
Princeton University
Event Location: 
Fine Hall 314