Existence of Periodic Solutions for the Quasi-Static Thermoelastic Thermistor Problem

被引：3

作者：

Badii, Maurizio ^{[1
]}

机构：

[1] Univ Roma La Sapienza, Dipartimento Matemat G Castelnuovo, I-00185 Rome, Italy

来源：

NODEA-NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2009年 / 16卷 / 01期

关键词：

Periodic solutions; thermistor problem; quasi-static thermoelastic equations; weak solutions; TEMPERATURE; UNIQUENESS;

D O I：

10.1007/s00030-008-7017-0

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We deal with a new model for the thermistor problem formulated as a coupled system of PDE's involving nonlinear energy heat equation, stationary charge conservation equation of electrical current and thermoelastic equations of displacement. We establish the existence of weak periodic solutions rewriting our system as an abstract problem in order to utilize the maximal monotone mappings theory and a fixed point argument for a suitable operator equation.

引用

页码：1 / 15

页数：15

共 20 条

[1] On the time periodic thermistor problem [J].

Allegretto, W ;

Lin, YP ;

Ma, SQ .

EUROPEAN JOURNAL OF APPLIED MATHEMATICS, 2004, 15 :55-77

[2] THE THERMISTOR PROBLEM - EXISTENCE, SMOOTHNESS, UNIQUENESS, BLOWUP [J].

ANTONTSEV, SN ;

CHIPOT, M .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1994, 25 (04) :1128-1156

[3]

Barbu V, 1976, Nonlinear Semigroups and Differential Equations in Banach Spaces, Editura Academiei Republicii Socialiste Romania

[4] NONLINEAR MAXIMAL MONOTONE OPERATORS IN BANACH SPACE [J].

BROWDER, FE .

MATHEMATISCHE ANNALEN, 1968, 175 (02) :89-&

[5]

Chipot M., 1991, EUR J APPL MATH, V2, P97, DOI [10.1017/S0956792500000425, DOI 10.1017/S0956792500000425]

[6] A BOUND FOR THE TEMPERATURE IN THE THERMISTOR PROBLEM [J].

CIMATTI, G .

IMA JOURNAL OF APPLIED MATHEMATICS, 1988, 40 (01) :15-22

[7] Asymptotics for the time-dependent thermistor problem [J].

Cimatti, G .

QUARTERLY OF APPLIED MATHEMATICS, 2004, 62 (03) :471-476

[8] REMARK ON EXISTENCE AND UNIQUENESS FOR THE THERMISTOR PROBLEM UNDER MIXED BOUNDARY-CONDITIONS [J].

CIMATTI, G .

QUARTERLY OF APPLIED MATHEMATICS, 1989, 47 (01) :117-121

[9]

CIMATTI G, 1999, APPL ANAL, V73, P407

[10]

Cimatti G., 2002, Ann. Mat. Pura Appl, V181, P181, DOI [10.1007/s102310100034, DOI 10.1007/S102310100034]

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