Global-in-time strong solvability of the multi-dimensional one-phase Stefan problem for an incompressible viscous fluid

被引：1

作者：

Kusaka, Yoshiaki ^{[1
]}

机构：

[1] Tamagawa Univ, Fac Engn, Dept Math, Machida, Tokyo 1948610, Japan

来源：

JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS | 2013年 / 30卷 / 02期

关键词：

Stefan problem; incompressible viscous fluid; Lagrangian coordinates; Global-in-time strong solvability; FRONT-TRACKING METHOD; CLASSICAL SOLVABILITY; FLOW;

D O I：

10.1007/s13160-013-0108-2

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we consider the multi-dimensional one-phase Stefan problem describing the process of phase transition in an incompressible viscous fluid. The model is described as a free boundary problem consisting of the heat equation with a transport term and the Navier-Stokes equations. We prove the existence of a global-in-time strong solution with small data by introducing Lagrangian coordinates.

引用

页码：415 / 439

页数：25

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