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.
Speaker: 
Benoit Pausader
Princeton University
Event Location: 
Fine Hall 314