卡马萨-霍姆耦合周期系统强解的新炸毁准则

arXiv - MATH - Analysis of PDEs Pub Date : 2024-09-15 DOI:arxiv-2409.09762

Yonghui Zhou, Xiaowan Li

{"title":"卡马萨-霍姆耦合周期系统强解的新炸毁准则","authors":"Yonghui Zhou, Xiaowan Li","doi":"arxiv-2409.09762","DOIUrl":null,"url":null,"abstract":"This paper is concerned with the wave breaking phenomena for a coupled\nperiodic Camassa-Holm system. We establish a new blowup criterion for strong\nsolutions by the method of characteristic and convolution estimates, and also\ngive the existence interval of the blowup point.","PeriodicalId":501165,"journal":{"name":"arXiv - MATH - Analysis of PDEs","volume":"207 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A new blowup criterion for strong solutions of a coupled periodic Camassa-Holm system\",\"authors\":\"Yonghui Zhou, Xiaowan Li\",\"doi\":\"arxiv-2409.09762\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper is concerned with the wave breaking phenomena for a coupled\\nperiodic Camassa-Holm system. We establish a new blowup criterion for strong\\nsolutions by the method of characteristic and convolution estimates, and also\\ngive the existence interval of the blowup point.\",\"PeriodicalId\":501165,\"journal\":{\"name\":\"arXiv - MATH - Analysis of PDEs\",\"volume\":\"207 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-15\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Analysis of PDEs\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.09762\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Analysis of PDEs","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.09762","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

本文关注耦合周期卡马萨-霍姆系统的破波现象。我们通过特征和卷积估计的方法建立了一个新的强解炸裂准则，并给出了炸裂点的存在区间。

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

A new blowup criterion for strong solutions of a coupled periodic Camassa-Holm system

This paper is concerned with the wave breaking phenomena for a coupled periodic Camassa-Holm system. We establish a new blowup criterion for strong solutions by the method of characteristic and convolution estimates, and also give the existence interval of the blowup point.

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

arXiv - MATH - Analysis of PDEs

自引率

0.00%

发文量