| 初-边值问题驻波解的渐近稳定性 |
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| 引用本文： | 豆艳萍.初-边值问题驻波解的渐近稳定性[J].数学学报,2005,48(4):669-680. |
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| 作者姓名： | 豆艳萍 |
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| 作者单位： | 上海大学数学系 上海 |
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| 摘 要： | 本文考虑一带有人工粘性的二维定常等熵无旋平面流方程组的初-边值问题. 在一定的假设下,我们证明其驻波解是渐近稳定的.
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| 关 键 词： | 渐近稳定性 粘性守恒律 驻波 |
Asymptotic Stability of the Stationary Solution to Initial-Boundary Value Problem of Viscous Conservation Laws |
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| Yan Ping DOU.Asymptotic Stability of the Stationary Solution to Initial-Boundary Value Problem of Viscous Conservation Laws[J].Acta Mathematica Sinica,2005,48(4):669-680. |
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| Authors: | Yan Ping DOU |
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| Institution: | Yan Ping DOU Department of Mathematics, Shanghai University, Shanghai 200444, P. R. China |
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| Abstract: | In this paper, we investigate the existence and asymptotic stability of the stationary solution to the initial-boundary value problem of a 2-dimensional steady isentropic irrotational viscous flow. It is proved that the stationary wave is asymptotically stable under some assumptions. |
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| Keywords: | Asymptotic stability Viscous conservation laws Stationary wave |
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