Formal solution of ill-posedness initial-boundary value problem for Euler equations of compressible adiabatic inviscid fluid flow
- ISSN号:0253-4827
- 期刊名称:《应用数学和力学:英文版》
- 时间:0
- 分类:O411.1[理学—理论物理;理学—物理]
- 作者机构:[1]Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China
- 相关基金:Project supported by the National Natural Science Foundation of China (Major Program of the Tenth Five-Year Plan) (Grant No,90411006)
中文摘要:
这被证明 Euler 方程为的提出病的起始的价值问题可压缩在胶粘的液体流动断热能仅仅正式被解决。为某代表性的 ill-posedness 的正式答案的存在的必要、足够的条件起始边界的价值问题被论述。最后,一个例子也被给。
英文摘要:
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.