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arXiv · 2402.00669

Global solutions of Euler-Maxwell equations with dissipation

Bernard Ducomet·Šárka Nečasová·John Sebastian H. Simon
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Abstract

We consider the Cauchy problem for a damped Euler-Maxwell system with no ionic background. For smooth enough data satisfying suitable so-called dispersive conditions, we establish the global in time existence and uniqueness of a strong solution that decays uniformly in time. Our method is inspired by the works of D. Serre and M. Grassin dedicated to the compressible Euler system.

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Bernard Ducomet, Šárka Nečasová, John Sebastian H. Simon. 2024-02-01. Global solutions of Euler-Maxwell equations with dissipation. https://arxiv.org/abs/2402.00669

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