具有硬势的非截止Vlasov-Poisson-Boltzmann系统的解析平滑效应

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-02-05 DOI:10.1016/j.jde.2025.01.087

Lvqiao Liu , Hao Wang

引用次数: 0

摘要

研究了具有硬势的非截止vlasov -泊松-玻尔兹曼系统在扰动条件下的正则化效应。受陈立旭b[13]所开发的技术的启发，我们证明了当初始数据具有轻微规律性时，空间变量和速度变量的解析正则性。

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Analytic smoothing effect for the non-cutoff Vlasov-Poisson-Boltzmann system with hard potentials

We study the regularization effect for the non-cutoff Vlasov-Poisson-Boltzmann system with hard potentials in the perturbation setting. Inspired by the techniques developed in Chen-Li-Xu [13], we prove the analytic regularity in both space and velocity variables when the initial data has mild regularity.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics