非均匀介质GL型热弹性问题解的存在唯一性

数学季刊 ›› 2009, Vol. 24 ›› Issue (1): 138-144.

非均匀介质GL型热弹性问题解的存在唯一性

1. College of Science, Henan University of Technology2. Department of Mathematics, Zhengzhou University

收稿日期:2008-09-12 出版日期:2009-03-30 发布日期:2023-09-11
作者简介:ZHANG Tong-bin(1964- ), male, native of Qinyang, Henan, an associate professor of Henan University of Technology, engages in research of theory the determined nature and the stability of the ordinary differential equations.
基金资助:
Supported by the National Natural Science Foundation of China(10771198)；

Existence for the Green-Lindsay Type Therm-elastic Problem of Nonhomogeneous Media

1. College of Science, Henan University of Technology2. Department of Mathematics, Zhengzhou University

Received:2008-09-12 Online:2009-03-30 Published:2023-09-11
About author:ZHANG Tong-bin(1964- ), male, native of Qinyang, Henan, an associate professor of Henan University of Technology, engages in research of theory the determined nature and the stability of the ordinary differential equations.
Supported by:
Supported by the National Natural Science Foundation of China(10771198)；

摘要/Abstract

摘要： We study a new model named the Green-Lindsay type therm-elastic model for nonhomogeneous media that consists of a system of dynamic thermoelasticity equations of displacement and dynamic heat conduction equation. We construct the model based on the classical GL-model for homogeneous material. This system is coupled dynamic problem and the displacement field and heat field must be solved at the same time. By using Fadeo-Galerkin method, we proved that the problem we proposed exist unique weak solution under some regular assumption.

关键词: weak solution, Green-Lindsay problem, therm-elastic problem, nonhomogeneous media

Abstract: We study a new model named the Green-Lindsay type therm-elastic model for nonhomogeneous media that consists of a system of dynamic thermoelasticity equations of displacement and dynamic heat conduction equation. We construct the model based on the classical GL-model for homogeneous material. This system is coupled dynamic problem and the displacement field and heat field must be solved at the same time. By using Fadeo-Galerkin method, we proved that the problem we proposed exist unique weak solution under some regular assumption.

Key words: weak solution, Green-Lindsay problem, therm-elastic problem, nonhomogeneous media

中图分类号:

O175.28

张同斌, 万建军. 非均匀介质GL型热弹性问题解的存在唯一性[J]. 数学季刊, 2009, 24(1): 138-144.

ZHANG Tong-bin, WAN Jian-jun. Existence for the Green-Lindsay Type Therm-elastic Problem of Nonhomogeneous Media [J]. Chinese Quarterly Journal of Mathematics, 2009, 24(1): 138-144.

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