Well Posedness for the Motion of a Compressible Liquid with Free Surface Boundary

被引：0
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作者：
Hans Lindblad
机构：
[1] University of California at San Diego,Department of Mathematics
来源：
Communications in Mathematical Physics | 2005年 / 260卷
关键词：
Neural Network; Physical Condition; Free Surface; Complex System; Nonlinear Dynamics;
D O I：
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中图分类号：
学科分类号：
摘要：
We study the motion of a compressible perfect liquid body in vacuum. This can be thought of as a model for the motion of the ocean or a star. The free surface moves with the velocity of the liquid and the pressure vanishes on the free surface. This leads to a free boundary problem for Euler's equations, where the regularity of the boundary enters to highest order. We prove local existence in Sobolev spaces assuming a ``physical condition'', related to the fact that the pressure of a fluid has to be positive.
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页码：319 / 392
页数：73
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