Vlasov-Poisson-Landau系统的分析平滑效应

IF 1.8 3区数学 Q1 MATHEMATICS, APPLIED

Nonlinear Analysis-Real World Applications Pub Date : 2025-03-03 DOI:10.1016/j.nonrwa.2025.104343

LvQiao Liu , Hao Wang

{"title":"Vlasov-Poisson-Landau系统的分析平滑效应","authors":"LvQiao Liu , Hao Wang","doi":"10.1016/j.nonrwa.2025.104343","DOIUrl":null,"url":null,"abstract":"<div><div>In this paper, we are concerned with the nonlinear Cauchy problem on the Vlasov–Poisson–Landau system around global Maxwellians. In particular, we prove that a class of low-regularity weak solutions enjoys analytic smoothing effect in the framework developed by Duan et al.. (2021). The proof is based on the energy estimate and auxiliary vector fields.</div></div>","PeriodicalId":49745,"journal":{"name":"Nonlinear Analysis-Real World Applications","volume":"85 ","pages":"Article 104343"},"PeriodicalIF":1.8000,"publicationDate":"2025-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Analyticity smoothing effect of the Vlasov–Poisson–Landau system\",\"authors\":\"LvQiao Liu , Hao Wang\",\"doi\":\"10.1016/j.nonrwa.2025.104343\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this paper, we are concerned with the nonlinear Cauchy problem on the Vlasov–Poisson–Landau system around global Maxwellians. In particular, we prove that a class of low-regularity weak solutions enjoys analytic smoothing effect in the framework developed by Duan et al.. (2021). The proof is based on the energy estimate and auxiliary vector fields.</div></div>\",\"PeriodicalId\":49745,\"journal\":{\"name\":\"Nonlinear Analysis-Real World Applications\",\"volume\":\"85 \",\"pages\":\"Article 104343\"},\"PeriodicalIF\":1.8000,\"publicationDate\":\"2025-03-03\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Analysis-Real World Applications\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S146812182500029X\",\"RegionNum\":3,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Analysis-Real World Applications","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S146812182500029X","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}

引用次数: 0

摘要

本文研究了围绕全局麦克斯韦方程组的Vlasov-Poisson-Landau系统的非线性Cauchy问题。特别地，我们证明了一类低正则性弱解在Duan等人开发的框架中具有解析平滑效果。(2021)。该证明是基于能量估计和辅助向量场。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Analyticity smoothing effect of the Vlasov–Poisson–Landau system

In this paper, we are concerned with the nonlinear Cauchy problem on the Vlasov–Poisson–Landau system around global Maxwellians. In particular, we prove that a class of low-regularity weak solutions enjoys analytic smoothing effect in the framework developed by Duan et al.. (2021). The proof is based on the energy estimate and auxiliary vector fields.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Nonlinear Analysis-Real World Applications 数学-应用数学

CiteScore

3.80

自引率

5.00%

发文量

176

审稿时长

59 days

期刊介绍： Nonlinear Analysis: Real World Applications welcomes all research articles of the highest quality with special emphasis on applying techniques of nonlinear analysis to model and to treat nonlinear phenomena with which nature confronts us. Coverage of applications includes any branch of science and technology such as solid and fluid mechanics, material science, mathematical biology and chemistry, control theory, and inverse problems. The aim of Nonlinear Analysis: Real World Applications is to publish articles which are predominantly devoted to employing methods and techniques from analysis, including partial differential equations, functional analysis, dynamical systems and evolution equations, calculus of variations, and bifurcations theory.