| 具边界效应一维粘弹性物质的非凸方程组行波解的稳定性 |
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| 引用本文： | 刘红霞,刘军. 具边界效应一维粘弹性物质的非凸方程组行波解的稳定性[J]. 暨南大学学报(自然科学与医学版), 2001, 22(1): 1-11 |
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| 作者姓名： | 刘红霞 刘军 |
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| 作者单位： | 暨南大学数学系 |
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| 基金项目： | 国家自然科学基金!资助项目 (1990 10 12 ) |
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| 摘 要： | 用权能量方法研究具有边界效应的一维粘弱性物质的非凸方程组解的渐近性质。对非退化的情形，在R 上证明了当时间变量t趋向于无穷时，初边值问题的解收敛于相应的柯西问题的行波解。
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| 关 键 词： | 粘弹性物质 行波解 初边值问题 稳定性 非凸方程组 边界效应 数学物理 |
| 文章编号： | 1000-9965(2001)01-0001-11 |
Stability of travelling waves for non-convex system of one-dimensional viscoelastic materials with boundary effect |
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| LIU Hong-xia, LIU Jun. Stability of travelling waves for non-convex system of one-dimensional viscoelastic materials with boundary effect[J]. Journal of Jinan University(Natural Science & Medicine Edition), 2001, 22(1): 1-11 |
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| Authors: | LIU Hong-xia LIU Jun |
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| Abstract: | This paper is concerned with the asymptotic behavior of solutions for a one-dimensional non-convex system of viscoelastic materials with a boundary effect by means of a weighted energy method. It is proved that the solutions of this initial-boundary problem with the non-degenerate shock conditions tend to the travelling wave solutions of the corresponding Cauchy problem time-asymptotically.[ |
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| Keywords: | viscoelastic materials travelling wave solution initial-boundary problem stability |
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