具有动力边界条件的热方程大扩散极限下的收敛速度

Asymptot. Anal. Pub Date : 2018-06-16 DOI:10.3233/ASY-181517

M. Fila, Kazuhiro Ishige, Tatsuki Kawakami, J. Lankeit

{"title":"具有动力边界条件的热方程大扩散极限下的收敛速度","authors":"M. Fila, Kazuhiro Ishige, Tatsuki Kawakami, J. Lankeit","doi":"10.3233/ASY-181517","DOIUrl":null,"url":null,"abstract":"We study the heat equation on a half-space or on an exterior domain with a linear dynamical boundary condition. Our main aim is to establish the rate of convergence to solutions of the Laplace equation with the same dynamical boundary condition as the diffusion coefficient tends to infinity.","PeriodicalId":8603,"journal":{"name":"Asymptot. Anal.","volume":"34 1","pages":"37-57"},"PeriodicalIF":0.0000,"publicationDate":"2018-06-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition\",\"authors\":\"M. Fila, Kazuhiro Ishige, Tatsuki Kawakami, J. Lankeit\",\"doi\":\"10.3233/ASY-181517\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We study the heat equation on a half-space or on an exterior domain with a linear dynamical boundary condition. Our main aim is to establish the rate of convergence to solutions of the Laplace equation with the same dynamical boundary condition as the diffusion coefficient tends to infinity.\",\"PeriodicalId\":8603,\"journal\":{\"name\":\"Asymptot. Anal.\",\"volume\":\"34 1\",\"pages\":\"37-57\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2018-06-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Asymptot. Anal.\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3233/ASY-181517\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Asymptot. Anal.","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3233/ASY-181517","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 3

摘要

研究了具有线性动力学边界条件的半空间和外域上的热方程。我们的主要目的是建立与扩散系数趋于无穷时具有相同动力学边界条件的拉普拉斯方程解的收敛速率。

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

Rate of convergence in the large diffusion limit for the heat equation with a dynamical boundary condition

We study the heat equation on a half-space or on an exterior domain with a linear dynamical boundary condition. Our main aim is to establish the rate of convergence to solutions of the Laplace equation with the same dynamical boundary condition as the diffusion coefficient tends to infinity.

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

Asymptot. Anal.

自引率

0.00%

发文量