| 关于无粘可压绝热流体的欧拉方程不适定初边值问题的形式解 |
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| 引用本文： | 王日朋,沈春.关于无粘可压绝热流体的欧拉方程不适定初边值问题的形式解[J].上海大学学报(英文版),2008,12(1):35-38. |
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| 作者姓名： | 王日朋 沈春 |
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| 作者单位： | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China |
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| 摘 要： | It is proved that the ill-posed initial value problem of the Euler equations for compressible adiabatic inviscid fluid flow can be only formally solved. The necessary and sufficient conditions for existence of formal solution of some representative ill-posedness initial-boundary value problem are presented. Finally, an example is also given.
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| 关 键 词： | 无粘可压绝热流体 欧拉方程 不适定初边值问题 形式解 |
| 文章编号： | 10.1007/s11741-008-0107-3 |
| 收稿时间： | 2005-10-12 |
| 修稿时间： | 2005年10月12 |
Formal solution of ill-posedness initial-boundary value problem for Euler equations of compressible adiabatic inviscid fluid flow |
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| Yue-peng Wang,Chun Shen.Formal solution of ill-posedness initial-boundary value problem for Euler equations of compressible adiabatic inviscid fluid flow[J].Journal of Shanghai University(English Edition),2008,12(1):35-38. |
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| Authors: | Yue-peng Wang Chun Shen |
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| Institution: | Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China |
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| Abstract: | It is proved that the ill-posed initial value problem of the Euler equations for compressible adiabatic inviscid fluidflow can be only formally solved. The necessary and sufficient conditions for existence of formal solution of some representativeill-posedness initial-boundary value problem are presented. Finally, an example is also given. |
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| Keywords: | Euler equations stratification theory formal solution |
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