| ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE SYSTEM OF ONE-DIMENSIONAL NONLINEAR THERMOVISCOELASTICITY |
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| 作者姓名： | Hsiao Ling Jian Huaiyu |
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| 摘 要： | §１．ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｉｓｐａｐｅｒｉｓｄｅｖｏｔｅｄｔｏｔｈｅｓｔｕｄｙｏｆｔｈｅｌａｒｇｅｔｉｍｅｂｅｈａｖｉｏｕｒｏｆｓｍｏｏｔｈｓｏｌｕｔｉｏｎｓｆｏｒｉｎｉｔｉａｌｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌｅｍｓｉｎｏｎｅｄｉ...
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| 关 键 词： | 渐进性 非线性热黏弹性 初边值问题 偏微分方程 |
| 收稿时间： | 1995/10/9 0:00:00 |
| 修稿时间： | 2/2/1997 12:00:00 AM |
ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE SYSTEM OF
ONE-DIMENSIONAL NONLINEAR THERMOVISCOELASTICITY |
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| Hsiao Ling,Jian Huaiyu.ASYMPTOTIC BEHAVIOR OF SOLUTIONS TO THE SYSTEM OF ONE-DIMENSIONAL NONLINEAR THERMOVISCOELASTICITY[J].Chinese Annals of Mathematics,Series B,1998,19(2):143-152. |
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| Authors: | Hsiao Ling and Jian Huaiyu |
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| Institution: | HSIAO LING * JIAN HUAIYU ** |
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| Abstract: | The authors study the large-time behaviour of global smooth solutions to initial-boundary value problems for the system of one-dimensional nonlinear thermoviscoelasticity. It is found that the solution may possess phase transition phenomena when the material is not monotone, and the solution may decay to a stable state for the monotone case. |
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| Keywords: | Asymptotic behavior Nonlinear thermoviscoelasticity Initial boundary value problem |
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