{"title":"具有非线性产生的二维区域上的抛物-椭圆化学排斥系统","authors":"Alex ANCOMA-HUARACHİ, E. Mallea-Zepeda","doi":"10.15672/hujms.1133453","DOIUrl":null,"url":null,"abstract":"In this paper we analyze a parabolic-elliptic chemo-repulsion system, with superlinear production term in two-dimensional domains. Under the injection/extract chemical substance on a subdomain $\\omega\\subset\\Omega$, we prove the existence and uniqueness of global-in-time strong solutions at finite time.","PeriodicalId":55078,"journal":{"name":"Hacettepe Journal of Mathematics and Statistics","volume":"61 1","pages":""},"PeriodicalIF":0.7000,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"A parabolic-elliptic chemo-repulsion system in 2D domains with nonlinear production\",\"authors\":\"Alex ANCOMA-HUARACHİ, E. Mallea-Zepeda\",\"doi\":\"10.15672/hujms.1133453\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we analyze a parabolic-elliptic chemo-repulsion system, with superlinear production term in two-dimensional domains. Under the injection/extract chemical substance on a subdomain $\\\\omega\\\\subset\\\\Omega$, we prove the existence and uniqueness of global-in-time strong solutions at finite time.\",\"PeriodicalId\":55078,\"journal\":{\"name\":\"Hacettepe Journal of Mathematics and Statistics\",\"volume\":\"61 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2023-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Hacettepe Journal of Mathematics and Statistics\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.15672/hujms.1133453\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Hacettepe Journal of Mathematics and Statistics","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.15672/hujms.1133453","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
A parabolic-elliptic chemo-repulsion system in 2D domains with nonlinear production
In this paper we analyze a parabolic-elliptic chemo-repulsion system, with superlinear production term in two-dimensional domains. Under the injection/extract chemical substance on a subdomain $\omega\subset\Omega$, we prove the existence and uniqueness of global-in-time strong solutions at finite time.
期刊介绍：
Hacettepe Journal of Mathematics and Statistics covers all aspects of Mathematics and Statistics. Papers on the interface between Mathematics and Statistics are particularly welcome, including applications to Physics, Actuarial Sciences, Finance and Economics.
We strongly encourage submissions for Statistics Section including current and important real world examples across a wide range of disciplines. Papers have innovations of statistical methodology are highly welcome. Purely theoretical papers may be considered only if they include popular real world applications.
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