Local existence of solutions of the free boundary problem for the equations of compressible barotropic viscous self-gravitating fluids
Local existence of solutions of the free boundary problem for the equations of compressible barotropic viscous self-gravitating fluids
复制标题
可压缩正压粘性自重力流体方程自由边界问题解的局部存在性
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
W. Zaja̧czkowski
中科院分区：
文献类型：
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作者：
Gerhard Ströhmer;W. Zaja̧czkowski
本文证明了描述粘性可压缩正压自引力流体在自由面所限定的区域内运动的方程局部解的存在性。首先利用Galerkin方法和正则化技巧证明了线性化动量方程解的存在性，然后利用逐次逼近方法证明了非线性问题解的局部存在性。
Local existence of solutions is proved for equations describing the motion of a viscous compressible barotropic and self-gravitating fluid in a domain bounded by a free surface. First by the Galerkin method and regularization techniques the existence of solutions of the linearized momentum equations is proved, next by the method of successive approximations local existence to the nonlinear problem is shown.