一类具有logistic源的退化抛物-椭圆Keller-Segel系统爆破解的存在性

IF 0.5 Q3 MATHEMATICS

Archivum Mathematicum Pub Date : 2023-01-01 DOI:10.5817/am2023-2-223

Yuya Tanaka

{"title":"一类具有logistic源的退化抛物-椭圆Keller-Segel系统爆破解的存在性","authors":"Yuya Tanaka","doi":"10.5817/am2023-2-223","DOIUrl":null,"url":null,"abstract":". This paper deals with existence of finite-time blow-up solutions to a degenerate parabolic–elliptic Keller–Segel system with logistic source. Recently, finite-time blow-up was established for a degenerate Jäger–Luckhaus system with logistic source. However, blow-up solutions of the aforementioned system have not been obtained. The purpose of this paper is to construct blow-up solutions of a degenerate Keller–Segel system with logistic source.","PeriodicalId":45191,"journal":{"name":"Archivum Mathematicum","volume":"30 1","pages":""},"PeriodicalIF":0.5000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Existence of blow-up solutions for a degenerate parabolic-elliptic Keller–Segel system with logistic source\",\"authors\":\"Yuya Tanaka\",\"doi\":\"10.5817/am2023-2-223\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". This paper deals with existence of finite-time blow-up solutions to a degenerate parabolic–elliptic Keller–Segel system with logistic source. Recently, finite-time blow-up was established for a degenerate Jäger–Luckhaus system with logistic source. However, blow-up solutions of the aforementioned system have not been obtained. The purpose of this paper is to construct blow-up solutions of a degenerate Keller–Segel system with logistic source.\",\"PeriodicalId\":45191,\"journal\":{\"name\":\"Archivum Mathematicum\",\"volume\":\"30 1\",\"pages\":\"\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archivum Mathematicum\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5817/am2023-2-223\",\"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/am2023-2-223","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: 2

摘要

．研究一类具有logistic源的退化抛物-椭圆型Keller-Segel系统有限时间爆破解的存在性。最近，建立了具有logistic源的退化Jäger-Luckhaus系统的有限时间爆破问题。然而，上述系统的爆破解尚未得到。本文的目的是构造具有逻辑源的退化Keller-Segel系统的爆破解。

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

Existence of blow-up solutions for a degenerate parabolic-elliptic Keller–Segel system with logistic source

. This paper deals with existence of finite-time blow-up solutions to a degenerate parabolic–elliptic Keller–Segel system with logistic source. Recently, finite-time blow-up was established for a degenerate Jäger–Luckhaus system with logistic source. However, blow-up solutions of the aforementioned system have not been obtained. The purpose of this paper is to construct blow-up solutions of a degenerate Keller–Segel system with logistic source.

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.