| Zero Dissipation Limit to Rarefaction Waves for the ρ-System |
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| 引用本文： | Hui Ying WANG. Zero Dissipation Limit to Rarefaction Waves for the ρ-System[J]. 数学学报(英文版), 2005, 21(5): 1229-1240. DOI: 10.1007/s10114-004-0515-z |
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| 作者姓名： | Hui Ying WANG |
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| 作者单位： | Center of Mathematical Science, Zhejiang University, Hangzhou 310027 P. R. China |
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| 摘 要： |
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| 关 键 词： | 零分散问题 p系统 等熵流程 粘性流体 能量分析 |
| 收稿时间： | 2003-01-10 |
| 修稿时间： | 2003-01-102003-06-19 |
Zero Dissipation Limit to Rarefaction Waves for the p–System |
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| Hui Ying Wang. Zero Dissipation Limit to Rarefaction Waves for the p–System[J]. Acta Mathematica Sinica(English Series), 2005, 21(5): 1229-1240. DOI: 10.1007/s10114-004-0515-z |
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| Authors: | Hui Ying Wang |
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| Affiliation: | (1) Center of Mathematical Science, Zhejiang University, Hangzhou 310027, P. R. China |
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| Abstract: | We study the zero-dissipation problem for a one-dimensional model system for the isentropic flow of a compressible viscous gas, the so-called p-system with viscosity. When the solution of the inviscid problem is a rarefaction wave with finite strength, there exists unique solution to the viscous problem with the same initial data which converges to the given inviscid solution as c goes to zero. The proof consists of a scaling argument and elementary energy analysis, based on the underlying wave structure. |
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| Keywords: | Zero dissipation problem p-system Centered rarefaction wave |
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