| 两点边值条件热弹性收缩模型的线性稳定性 |
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| 引用本文： | 黄慧,费浦生,燕子宗. 两点边值条件热弹性收缩模型的线性稳定性[J]. 数学杂志, 2006, 26(1): 1-8 |
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| 作者姓名： | 黄慧 费浦生 燕子宗 |
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| 作者单位： | 武汉大学数学与统计学院,湖北,武汉,430072 |
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| 基金项目： | Supported by the National Natural Science Foundation of China （70371032） and the Doc Educational Foundation of the Ministry of Eduaction P. R. C. （20020486035） |
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| 摘 要： | 1Introduction Theanalysisofthermalcontactproblemshasrevealeawealthofinteresting phenomena.BeginningwithJ.R.Barberin1978[1],whopointedoutthatthesolutionof suchproblemsposescertaindifficulties,andcontinuingtothisday,numerousresearchers haveturnedtheirattent…
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| 关 键 词： | 非线性稳定性 热弹性收缩 Direchlet边界条件 Barber边界条件 |
| 文章编号： | 0255-7797（2006）01-0001-08 |
| 收稿时间： | 2004-09-13 |
| 修稿时间： | 2005-01-14 |
NONLINEAR STABILITY CONSIDERATIONS IN THERMOELASTIC CONTACT MODEL WITH TWO DIFFERENT BOUNDARY CONDITIONS |
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| HUANG Hui,FEI Pu-sheng,YAN Zi-zong. NONLINEAR STABILITY CONSIDERATIONS IN THERMOELASTIC CONTACT MODEL WITH TWO DIFFERENT BOUNDARY CONDITIONS[J]. Journal of Mathematics, 2006, 26(1): 1-8 |
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| Authors: | HUANG Hui FEI Pu-sheng YAN Zi-zong |
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| Abstract: | In this paper we first use a multiple scale or tw o-timing method to study this model with Dirichlet boundary condition. Then, we impose the known Barber condition at the free end. This system is analyzed by the asymptotic matching techniques of boundary layer theory to derive short-tim e, long-time and uniform expansions. Most importantly, all analysis is extended from the traditional linear stablity considerations into the nonlinear regime a nd dynamic information about the history dependence and temporal evolution of th e solution is obtained. |
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| Keywords: | nonlinear stability thermoelastic contact Dirichlet boundary condition barber condition |
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