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arXiv · 1110.0798

The Euler--Poisson system in 2D: global stability of the constant equilibrium solution

Alexandru D. Ionescu·Benoit Pausader
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Abstract

We consider the (repulsive) Euler-Poisson system for the electrons in two dimensions and prove that small smooth perturbations of a constant background exist for all time and remain smooth (never develop shocks). This extends to 2D the work of Guo.

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Alexandru D. Ionescu, Benoit Pausader. 2011-10-04. The Euler--Poisson system in 2D: global stability of the constant equilibrium solution. https://arxiv.org/abs/1110.0798

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