波动方程非辐射解的渐近性质

IF 2.3 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-06-12 DOI:10.1016/j.jde.2025.113547

Liang Li, Ruipeng Shen, Chenhui Wang, Lijuan Wei

{"title":"波动方程非辐射解的渐近性质","authors":"Liang Li, Ruipeng Shen, Chenhui Wang, Lijuan Wei","doi":"10.1016/j.jde.2025.113547","DOIUrl":null,"url":null,"abstract":"<div><div>In this work we consider weakly non-radiative solutions to both linear and non-linear wave equations. We first characterize all weakly non-radiative free waves, without the radial assumption. Then in dimension 3 we show that the asymptotic behaviours of non-radiative solutions to a wide range of nonlinear wave equations are similar to those of non-radiative free waves. This generalizes the already known results about radial solutions to the non-radial case.</div></div>","PeriodicalId":15623,"journal":{"name":"Journal of Differential Equations","volume":"441 ","pages":"Article 113547"},"PeriodicalIF":2.3000,"publicationDate":"2025-06-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Asymptotic behaviour of non-radiative solution to the wave equations\",\"authors\":\"Liang Li, Ruipeng Shen, Chenhui Wang, Lijuan Wei\",\"doi\":\"10.1016/j.jde.2025.113547\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In this work we consider weakly non-radiative solutions to both linear and non-linear wave equations. We first characterize all weakly non-radiative free waves, without the radial assumption. Then in dimension 3 we show that the asymptotic behaviours of non-radiative solutions to a wide range of nonlinear wave equations are similar to those of non-radiative free waves. This generalizes the already known results about radial solutions to the non-radial case.</div></div>\",\"PeriodicalId\":15623,\"journal\":{\"name\":\"Journal of Differential Equations\",\"volume\":\"441 \",\"pages\":\"Article 113547\"},\"PeriodicalIF\":2.3000,\"publicationDate\":\"2025-06-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Differential Equations\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022039625005741\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022039625005741","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

在这项工作中，我们考虑了线性和非线性波动方程的弱非辐射解。我们首先描述所有弱非辐射自由波，没有径向假设。然后在维数3中，我们证明了大范围非线性波动方程的非辐射解的渐近行为与非辐射自由波的渐近行为相似。这将已知的关于径向解的结果推广到非径向情况。

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

Asymptotic behaviour of non-radiative solution to the wave equations

In this work we consider weakly non-radiative solutions to both linear and non-linear wave equations. We first characterize all weakly non-radiative free waves, without the radial assumption. Then in dimension 3 we show that the asymptotic behaviours of non-radiative solutions to a wide range of nonlinear wave equations are similar to those of non-radiative free waves. This generalizes the already known results about radial solutions to the non-radial case.

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

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