| ALMOST GLOBAL EXISTENCE OF DIRICHLETINITIAL-BOUNDARY VALUE PROBLEM FORNONLINEAR ELASTODYNAMIC SYSTEMOUTSIDE A STAR-SHAPED DOMAIN |
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| 作者姓名： | XIN Jie QIN Tiehu |
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| 作者单位： | XIN JIE QIN TIEHU Institute of Mathematics，Fudan University，Shanghai 200433，China. Department of Mathematics，Pudan University，Shanghai 200433，China. |
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| 基金项目： | the National Natural Science Foundation of China (No. 10271030). |
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| 摘 要： | This paper deals with the mixed initial-boundary value problem of Dirichlet type for the nonlinear elastodynamic system outside a star-shaped domain. The almost global existence of solution with small initial data to this problem is proved and a lower bound for the lifespan of solutions is given.
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| 关 键 词： | 流体动力学 非线性系统 外部问题 几乎处处存在 数理方程 |
| 收稿时间： | 5/4/2008 12:00:00 AM |
ALMOST GLOBAL EXISTENCE OF DIRICHLET INITIAL-BOUNDARY VALUE PROBLEM FOR NONLINEAR ELASTODYNAMIC SYSTEM OUTSIDE A STAR-SHAPED DOMAIN |
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| XIN Jie,QIN Tiehu.ALMOST GLOBAL EXISTENCE OF DIRICHLETINITIAL-BOUNDARY VALUE PROBLEM FORNONLINEAR ELASTODYNAMIC SYSTEMOUTSIDE A STAR-SHAPED DOMAIN[J].Chinese Annals of Mathematics,Series B,2004,25(4):433-454. |
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| Authors: | XIN Jie and QIN Tiehu |
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| Institution: | 1. Institute of Mathematics, Fudan University, Shanghai 200433, China
2. Department of Mathematics, Fudan University, Shanghai 200433, China |
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| Abstract: | This paper deals with the mixed initial-boundary value problem of Dirichlet type for the nonlinear elastodynamic system outside a star-shaped domain. The almost global existence of solution with small initial data to this problem is proved and a lower bound for the lifespan of solutions is given. |
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| Keywords: | Nonlinear elastodynamic system Exterior problem Almost global existence |
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