Title | EFFECTIVE BOUNDARY CONDITIONS ARISING FROM THE HEAT EQUATION WITH THREE-DIMENSIONAL INTERIOR INCLUSION |
Author | |
Corresponding Author | Geng, Xingri |
Publication Years | 2023-03-01
|
DOI | |
Source Title | |
ISSN | 1534-0392
|
EISSN | 1553-5258
|
Abstract | We study the initial boundary value problem for a heat equation in a domain containing a thin layer. The thermal conductivity of the layer is drastically different from that of the bulk of the domain; moreover, the layer is anisotropic and "optimally aligned" in the sense that the normal direction in the layer is always an eigenvector of the thermal tensor. To reveal the effects of the layer, we regard it as a thickless surface on which "effective boundary conditions" (EBCs) are satisfied by the limit of solutions of the initial boundary value problem as the thickness of the layer shrinks to zero. These EBCs are rich in variety and type, including some nonstandard ones such as the Dirichlet-to-Neumann mapping and the fractional Laplacian. |
Keywords | |
URL | [Source Record] |
Indexed By | |
Language | English
|
SUSTech Authorship | First
; Corresponding
|
WOS Research Area | Mathematics
|
WOS Subject | Mathematics, Applied
; Mathematics
|
WOS Accession No | WOS:000942895800001
|
Publisher | |
ESI Research Field | MATHEMATICS
|
Data Source | Web of Science
|
Citation statistics |
Cited Times [WOS]:0
|
Document Type | Journal Article |
Identifier | http://kc.sustech.edu.cn/handle/2SGJ60CL/513444 |
Department | Department of Mathematics |
Affiliation | 1.Southern Univ Sci & Technol, Dept Math, Shenzhen 518055, Peoples R China 2.Natl Univ Singapore, Dept Math, Singapore, Singapore |
First Author Affilication | Department of Mathematics |
Corresponding Author Affilication | Department of Mathematics |
First Author's First Affilication | Department of Mathematics |
Recommended Citation GB/T 7714 |
Geng, Xingri. EFFECTIVE BOUNDARY CONDITIONS ARISING FROM THE HEAT EQUATION WITH THREE-DIMENSIONAL INTERIOR INCLUSION[J]. COMMUNICATIONS ON PURE AND APPLIED ANALYSIS,2023.
|
APA |
Geng, Xingri.(2023).EFFECTIVE BOUNDARY CONDITIONS ARISING FROM THE HEAT EQUATION WITH THREE-DIMENSIONAL INTERIOR INCLUSION.COMMUNICATIONS ON PURE AND APPLIED ANALYSIS.
|
MLA |
Geng, Xingri."EFFECTIVE BOUNDARY CONDITIONS ARISING FROM THE HEAT EQUATION WITH THREE-DIMENSIONAL INTERIOR INCLUSION".COMMUNICATIONS ON PURE AND APPLIED ANALYSIS (2023).
|
Files in This Item: | There are no files associated with this item. |
|
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment