On the classical solvability of the Stefan problem in a viscous incompressible fluid flow
On the classical solvability of the Stefan problem in a viscous incompressible fluid flow
复制标题
粘性不可压缩流体流动中Stefan问题的经典可解性
DOI：
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发表时间：
1999
期刊：
影响因子：
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通讯作者：
A. Tani
中科院分区：
文献类型：
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作者：
Y. Kusaka;A. Tani
本文研究了在流体流动的情况下的凝固/熔化过程。这种现象可以用温度分布方程中带输运项的Stefan问题和不可压Navier-Stokes方程的初边值问题来描述。在时间上局部证明了古典解的存在性。
This paper is devoted to the study of a solidification/melting process in the case where the fluid is flowing. Such a phenomenon is described by the Stefan problem with transport terms in the equation of the temperature distribution and the initial-boundary value problem for the incompressible Navier--Stokes equations. The existence of the classical solution is proved locally in time.