中文版 | English
Title

EFFECTIVE BOUNDARY CONDITIONS ARISING FROM THE HEAT EQUATION WITH THREE-DIMENSIONAL INTERIOR INCLUSION

Author
Corresponding AuthorGeng, 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 TypeJournal Article
Identifierhttp://kc.sustech.edu.cn/handle/2SGJ60CL/513444
DepartmentDepartment 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 AffilicationDepartment of Mathematics
Corresponding Author AffilicationDepartment of Mathematics
First Author's First AffilicationDepartment 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).
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