{"title":"具有密度抑制运动和逻辑源的趋化模型解的收敛速度","authors":"Wenbin Lyu, Jing Hu","doi":"10.1007/s00030-024-00958-z","DOIUrl":null,"url":null,"abstract":"<p>This paper is concerned with a class of parabolic-elliptic chemotaxis models with density-suppressed motility and general logistic source in an <i>n</i>-dimensional smooth bounded domain. With some conditions on the density-suppressed motility function, we show the convergence rate of solutions is exponential as time tends to infinity for such kind of models.</p>","PeriodicalId":501665,"journal":{"name":"Nonlinear Differential Equations and Applications (NoDEA)","volume":"28 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-06-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The convergence rate of solutions in chemotaxis models with density-suppressed motility and logistic source\",\"authors\":\"Wenbin Lyu, Jing Hu\",\"doi\":\"10.1007/s00030-024-00958-z\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>This paper is concerned with a class of parabolic-elliptic chemotaxis models with density-suppressed motility and general logistic source in an <i>n</i>-dimensional smooth bounded domain. With some conditions on the density-suppressed motility function, we show the convergence rate of solutions is exponential as time tends to infinity for such kind of models.</p>\",\"PeriodicalId\":501665,\"journal\":{\"name\":\"Nonlinear Differential Equations and Applications (NoDEA)\",\"volume\":\"28 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-06-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Nonlinear Differential Equations and Applications (NoDEA)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1007/s00030-024-00958-z\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Nonlinear Differential Equations and Applications (NoDEA)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1007/s00030-024-00958-z","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
本文研究的是一类在 n 维光滑有界域中具有密度抑制运动和一般逻辑源的抛物线-椭圆趋化模型。通过对密度抑制运动函数的一些条件，我们证明了这类模型的解的收敛速率随着时间趋于无穷大是指数级的。
The convergence rate of solutions in chemotaxis models with density-suppressed motility and logistic source
This paper is concerned with a class of parabolic-elliptic chemotaxis models with density-suppressed motility and general logistic source in an n-dimensional smooth bounded domain. With some conditions on the density-suppressed motility function, we show the convergence rate of solutions is exponential as time tends to infinity for such kind of models.
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