| 一维粘性守恒律初边值问题粘性激波解的渐近稳定性 |
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| 引用本文： | 豆艳萍.一维粘性守恒律初边值问题粘性激波解的渐近稳定性[J].数学年刊A辑(中文版),2004(4). |
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| 作者姓名： | 豆艳萍 |
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| 作者单位： | 复旦大学数学研究所 上海 |
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| 摘 要： | 本文考虑一维可压缩Navier-Stokes方程有关初边值问题粘性激波解的渐近稳定性,通过L~2-能量估计,证明了在小扰动情况下,粘性激波是稳定的。
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| 关 键 词： | 渐近稳定性 粘性激波 可压缩Navier-Stokes方程 扰动 |
ASYMPTOTIC STABILITY OF VISCOUS SHOCK PROFILES FOR ONE-DIMENSIONAL VISCOUS CONSERVATION LAWS WITH BOUNDARY EFFECT |
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| DOU Yanping Institute of Mathematics,Fudan University,Shanghai ,China..ASYMPTOTIC STABILITY OF VISCOUS SHOCK PROFILES FOR ONE-DIMENSIONAL VISCOUS CONSERVATION LAWS WITH BOUNDARY EFFECT[J].Chinese Annals of Mathematics,2004(4). |
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| Authors: | DOU Yanping Institute of Mathematics Fudan University Shanghai China |
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| Institution: | DOU Yanping Institute of Mathematics,Fudan University,Shanghai 200433,China. |
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| Abstract: | This paper studies the asymptotic behavior of the viscous shock wave on the half space R_+ to the IBV problem for one-dimensional compressible Navier-Stokes equations. This problem can be regarded as a perturbation of impermeable problem. By L~2-energy method, the author proves that viscous shock wave is stable under small perturbation. But due to the boundary effect, the problem has to be considered in Eulerian coordinate, which brings difficulties in obtaining a priori estimate. |
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| Keywords: | Asymptotic stability Viscous shock wave Compressible Navier-Stokes equations Perturbation |
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