Uniqueness of moving boundary for a heat conduction problem with nonlinear interface conditions

被引：7

作者：

Wei, T. ^{[1
]}

机构：

[1] Lanzhou Univ, Sch Math & Stat, Lanzhou, Gansu, Peoples R China

来源：

APPLIED MATHEMATICS LETTERS | 2010年 / 23卷 / 05期

关键词：

Inverse boundary problem; Heat equation; Uniqueness; Nonlinear interface conditions; Multilayer domain; CAUCHY DATA; INVERSE; EQUATION;

D O I：

10.1016/j.aml.2010.01.018

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, based on the maximum principle and the unique continuation theorem, we present a uniqueness result for a moving boundary of a heat problem in a multilayer medium with nonlinear interface conditions. (C) 2010 Elsevier Ltd. All rights reserved.

引用

页码：600 / 604

页数：5

共 50 条

[21] Moving boundary identification for a two-dimensional inverse heat conduction problem
Liu, Ji-Chuan
Wei, Ting
INVERSE PROBLEMS IN SCIENCE AND ENGINEERING, 2011, 19 (08) : 1139 - 1154
[22] Boundary conditions and heat resistance at the moving solid-liquid interface
Buchbinder, G. L.
Galenko, P. K.
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2018, 489 : 149 - 162
[23] Growth and decay results in heat conduction problems with nonlinear boundary conditions
Payne, LE
Schaefer, PW
Song, JC
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1999, 35 (02) : 269 - 286
[24] The uniqueness of the solution of a nonlinear heat conduction problem under Holder's continuity condition
Krizek, Michal
APPLIED MATHEMATICS LETTERS, 2020, 103
[25] A NEW FORMULATION FOR THE BOUNDARY ELEMENT ANALYSIS OF HEAT CONDUCTION PROBLEMS WITH NONLINEAR BOUNDARY CONDITIONS
Baranoglu, Besim
ISI BILIMI VE TEKNIGI DERGISI-JOURNAL OF THERMAL SCIENCE AND TECHNOLOGY, 2019, 39 (02) : 229 - 236
[26] CONDITIONS FOR SOLVABILITY OF A BOUNDARY VALUE PROBLEM RELATIVE TO HEAT CONDUCTION EQUATION
KIM, EI
DOKLADY AKADEMII NAUK SSSR, 1961, 140 (03): : 553 - &
[27] A STEADY-STATE PROBLEM OF HEAT CONDUCTION IN A LAYER WITH HEAT TRANSFER CONDITIONS AT BOUNDARY
PED, VN
SIMONENK.IB
JOURNAL OF APPLIED MATHEMATICS AND MECHANICS-USSR, 1967, 31 (02): : 339 - &
[28] A time domain Galerkin boundary element method for a heat conduction interface problem
Vodicka, R.
MESH REDUCTION METHODS: BEM/MRM XXXI, 2009, 49 : 187 - 198
[29] EXISTENCE AND UNIQUENESS FOR A NONLINEAR BOUNDARY-PROBLEM
ZHENG, SM
KEXUE TONGBAO, 1986, 31 (11): : 786 - 787
[30] THEOREM ON UNIQUENESS OF SOLUTIONS IN NONLINEAR HEAT-CONDUCTION
HERRMANN, RP
NACHLINGER, RR
QUARTERLY OF APPLIED MATHEMATICS, 1974, 32 (03) : 329 - 332

← 1 2 3 4 5 →