{"title":"生长域上指数非线性反应-扩散系统的整体存在性、渐近稳定性及数值模拟","authors":"Redouane Douaifia, S. Abdelmalek, B. Rebiai","doi":"10.1109/ICRAMI52622.2021.9585915","DOIUrl":null,"url":null,"abstract":"This paper primarily seeks to extend the results of Rebiai and Benachour [10] on the global existence, uniqueness, uniform boundedness, and the asymptotic behavior of solutions for a weakly coupled reaction-diffusion systems with exponential nonlinearity on a growing domain with an isotropic growth, the desired results are obtained by using Lyapunov functions’ method. The theoretical findings are supported and affirmed by numerical simulation.","PeriodicalId":440750,"journal":{"name":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2021-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Global Existence, Asymptotic Stability and Numerical Simulation for Reaction-Diffusion Systems with Exponential Nonlinearity on Growing Domains\",\"authors\":\"Redouane Douaifia, S. Abdelmalek, B. Rebiai\",\"doi\":\"10.1109/ICRAMI52622.2021.9585915\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper primarily seeks to extend the results of Rebiai and Benachour [10] on the global existence, uniqueness, uniform boundedness, and the asymptotic behavior of solutions for a weakly coupled reaction-diffusion systems with exponential nonlinearity on a growing domain with an isotropic growth, the desired results are obtained by using Lyapunov functions’ method. The theoretical findings are supported and affirmed by numerical simulation.\",\"PeriodicalId\":440750,\"journal\":{\"name\":\"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2021-09-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1109/ICRAMI52622.2021.9585915\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"2021 International Conference on Recent Advances in Mathematics and Informatics (ICRAMI)","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1109/ICRAMI52622.2021.9585915","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Global Existence, Asymptotic Stability and Numerical Simulation for Reaction-Diffusion Systems with Exponential Nonlinearity on Growing Domains
This paper primarily seeks to extend the results of Rebiai and Benachour [10] on the global existence, uniqueness, uniform boundedness, and the asymptotic behavior of solutions for a weakly coupled reaction-diffusion systems with exponential nonlinearity on a growing domain with an isotropic growth, the desired results are obtained by using Lyapunov functions’ method. The theoretical findings are supported and affirmed by numerical simulation.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
