| 二维定常Euler方程组解的衰减性估计 |
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| 引用本文： | 黄晓峰.二维定常Euler方程组解的衰减性估计[J].复旦学报(自然科学版),2009(6). |
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| 作者姓名： | 黄晓峰 |
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| 作者单位： | 复旦大学数学科学学院; |
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| 摘 要： | 主要研究一类具有对称性的双曲型方程组解所具有的衰减性质.对于二维定常Euler方程组,证明了当满足给定的初始值条件时,在整个流场中Mach数充分大的情形下,方程组的解是渐近稳定的.
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| 关 键 词： | 对称双曲型方程组 Euler方程组 二维定常流 Mach数 |
Decay Estimate for 2-D Steady Euler Equations |
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| HUANG Xiao-feng.Decay Estimate for 2-D Steady Euler Equations[J].Journal of Fudan University(Natural Science),2009(6). |
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| Authors: | HUANG Xiao-feng |
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| Institution: | HUANG Xiao-feng(School of Mathematical Science,Fudan University,Shanghai 200433,China) |
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| Abstract: | The large time behaviors of solutions to certain hyperbolic systems of equations are studied.A condition is given which will ensure an L2 decay estimate of the solution to 2-D steady Euler equations if no shock develops is presented.It is proved that if the condition is satisfied initially then it will be satisfied for all the time and therefore a decay estimate of solutions is obtained provided that the Mach number is big enough. |
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| Keywords: | symmetric hyperbolic systems Euler equations 2-D steady flow Mach number |
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