| 一维可压粘性气体粘性激波的渐近稳定性 |
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| 引用本文： | 豆艳萍,盛万成.一维可压粘性气体粘性激波的渐近稳定性[J].数学年刊A辑(中文版),2002(4). |
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| 作者姓名： | 豆艳萍 盛万成 |
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| 作者单位： | 复旦大学数学研究所 上海200433
(豆艳萍)，复旦大学数学研究所 上海200433(盛万成) |
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| 摘 要： | 本文讨论一维粘性热传导多方气体粘性激波的渐近稳定性,如果初始扰动以及δ=|u+-u-|适当的小,则解在最大模的意义下趋于粘性激波.
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| 关 键 词： | 粘性激波 渐近稳定性 可压粘性气体 |
ASYMPTOTIC STABILITY OF VISCOUS SHOCK PROFILES FOR ONE-DIMENSIONAL COMPRESSIBLE VISCOUS GAS |
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| DOU Yanping SHENG Wancheng Institute of Mathematics,Fudan University,Shanghai ,China..ASYMPTOTIC STABILITY OF VISCOUS SHOCK PROFILES FOR ONE-DIMENSIONAL COMPRESSIBLE VISCOUS GAS[J].Chinese Annals of Mathematics,2002(4). |
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| Authors: | DOU Yanping SHENG Wancheng Institute of Mathematics Fudan University Shanghai China |
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| Institution: | DOU Yanping SHENG Wancheng Institute of Mathematics,Fudan University,Shanghai 200433,China. |
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| Abstract: | This paper is concerns with the asymptotic stability towards the viscous shock profiles of the solution for a one-dimensional model system associated with viscous heat-conductive polytropic gas, and the solution approaches to viscous shock waves in maximum norms, when the initial disturbance and S = |u+ ?u-| is suitably small. |
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| Keywords: | Viscous shock Asymptotic stability Compressible viscous gas |
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