Global dynamics for the ion equation in the Euler-Poisson system

Monday, April 11, 2011 -
4:00pm to 6:00pm
We prove that small perturbations of a constant background in the Euler-Poisson equation for the ions lead to global smooth solutions. This is a manifestation of the stabilization effect of the electric field as the corresponding result does not hold for the closely related compressible Euler equation.
Speaker: 
Benoit Pausader
Brown University
Event Location: 
Fine Hall 314