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

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

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Benoit Pausader, Brown University
Fine Hall 314

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.