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arXiv · 2310.07192

The Local-well-posedness of the relativistic Vlasov-Maxwell-Landau system with the specular reflection boundary condition

Hongjie Dong·Yan Guo·Zhimeng Ouyang·Timur Yastrzhembskiy
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Abstract

We prove the local-in-time well-posedness of the relativistic Vlasov-Maxwell-Landau system in a bounded domain $\Omega$ with the specular reflection condition. Our result covers the case when $\Omega$ is a non-convex domain, e.g., solid torus. To the best of our knowledge, this is the first local well-posedness result for a nonlinear kinetic model with a self-consistent magnetic effect in a three-dimensional $\textbf{bounded}$ domain.

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Hongjie Dong, Yan Guo, Zhimeng Ouyang, Timur Yastrzhembskiy. 2023-10-11. The Local-well-posedness of the relativistic Vlasov-Maxwell-Landau system with the specular reflection boundary condition. https://arxiv.org/abs/2310.07192

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