Duchon-Robert solutions for the Rayleigh-Taylor and Muskat problems

被引：8

作者：

Beck, Thomas ^{[1
]}

Sosoe, Philippe ^{[1
]}

Wong, Percy ^{[1
]}

机构：

[1] Princeton Univ, Dept Math, Princeton, NJ 08544 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2014年 / 256卷 / 01期

关键词：

FINITE-TIME ANALYTICITY; INSTABILITY;

D O I：

10.1016/j.jde.2013.09.001

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We construct analytic solutions to the Euler equations with an interface between two fluids, extending work of Duchon and Robert. We also show that the estimates of Duchon and Robert yield global analytic solutions to the Muskat problem with small initial data. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：206 / 222

页数：17

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