Global well-posedness of Vlasov–Poisson-type systems in bounded domains

IF 1.8 1区数学 Q1 MATHEMATICS

Analysis & PDE Pub Date : 2023-12-11 DOI:10.2140/apde.2023.16.2465

Ludovic Cesbron, Mikaela Iacobelli

引用次数: 0

Abstract

In this paper we prove global existence of classical solutions to the Vlasov–Poisson and ionic Vlasov–Poisson models in bounded domains. On the boundary, we consider the specular reflection boundary condition for the Vlasov equation and either homogeneous Dirichlet or Neumann conditions for the Poisson equations.

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有界域中弗拉索夫-泊松型系统的全局良好性

本文证明了弗拉索夫-泊松模型和离子弗拉索夫-泊松模型在有界域中经典解的全局存在性。在边界上，我们考虑了 Vlasov 方程的镜面反射边界条件和 Poisson 方程的同质 Dirichlet 或 Neumann 条件。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Analysis & PDE MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.80

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： APDE aims to be the leading specialized scholarly publication in mathematical analysis. The full editorial board votes on all articles, accounting for the journal’s exceptionally high standard and ensuring its broad profile.