发散型退化抛物方程的镇定及其在趋化系统中的应用

IF 0.5 Q3 MATHEMATICS Archivum Mathematicum Pub Date : 2023-01-01 DOI:10.5817/am2023-2-181

Sachiko Ishida, T. Yokota

{"title":"发散型退化抛物方程的镇定及其在趋化系统中的应用","authors":"Sachiko Ishida, T. Yokota","doi":"10.5817/am2023-2-181","DOIUrl":null,"url":null,"abstract":". This paper presents a stabilization result for weak solutions of degenerate parabolic equations in divergence form. More precisely, the result asserts that the global-in-time weak solution converges to the average of the initial data in some topology as time goes to infinity. It is also shown that the result can be applied to a degenerate parabolic-elliptic Keller-Segel system.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"120 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stabilization in degenerate parabolic equations in divergence form and application to chemotaxis systems\",\"authors\":\"Sachiko Ishida, T. Yokota\",\"doi\":\"10.5817/am2023-2-181\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". This paper presents a stabilization result for weak solutions of degenerate parabolic equations in divergence form. More precisely, the result asserts that the global-in-time weak solution converges to the average of the initial data in some topology as time goes to infinity. It is also shown that the result can be applied to a degenerate parabolic-elliptic Keller-Segel system.\",\"PeriodicalId\":45191,\"journal\":{\"name\":\"Archivum Mathematicum\",\"volume\":\"120 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archivum Mathematicum\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5817/am2023-2-181\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archivum Mathematicum","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5817/am2023-2-181","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}

引用次数: 0

摘要

．本文给出了散度形式退化抛物型方程弱解的一个镇定结果。更准确地说，结果表明，当时间趋于无穷时，全局时弱解收敛于某些拓扑中初始数据的平均值。结果也可应用于退化抛物-椭圆型Keller-Segel系统。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

Stabilization in degenerate parabolic equations in divergence form and application to chemotaxis systems

. This paper presents a stabilization result for weak solutions of degenerate parabolic equations in divergence form. More precisely, the result asserts that the global-in-time weak solution converges to the average of the initial data in some topology as time goes to infinity. It is also shown that the result can be applied to a degenerate parabolic-elliptic Keller-Segel system.

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

Archivum Mathematicum MATHEMATICS-

CiteScore

0.70

自引率

16.70%

发文量

审稿时长

35 weeks

期刊介绍： Archivum Mathematicum is a mathematical journal which publishes exclusively scientific mathematical papers. The journal, founded in 1965, is published by the Department of Mathematics and Statistics of the Faculty of Science of Masaryk University. A review of each published paper appears in Mathematical Reviews and also in Zentralblatt für Mathematik. The journal is indexed by Scopus.