Global solutions of Euler-Maxwell equations with dissipation
Analysis of PDEs
2024-02-02 v1
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.
Cite
@article{arxiv.2402.00669,
title = {Global solutions of Euler-Maxwell equations with dissipation},
author = {Bernard Ducomet and Šárka Nečasová and John Sebastian H. Simon},
journal= {arXiv preprint arXiv:2402.00669},
year = {2024}
}
Comments
arXiv admin note: text overlap with arXiv:1906.08075