WEAK SOLUTIONS TO THE STATIONARY INCOMPRESSIBLE EULER EQUATIONS

被引：22

作者：

Choffrut, A. ^{[1
,2
]}

Szekelyhidi, L., Jr. ^{[3
]}

机构：

[1] Univ Edinburgh, Maxwell Inst, Edinburgh EH9 3JZ, Midlothian, Scotland

[2] Univ Edinburgh, Sch Math, Edinburgh EH9 3JZ, Midlothian, Scotland

[3] Univ Leipzig, Math Inst, D-04109 Leipzig, Germany

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2014年 / 46卷 / 06期

基金：

欧洲研究理事会;

关键词：

stationary Euler equations; convex integration; CONVEX INTEGRATION; FLOWS;

D O I：

10.1137/140957354

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider weak stationary solutions to the incompressible Euler equations and show that the analogue of the h-principle obtained by the second author in joint work with C. De Lellis for time-dependent weak solutions in L-infinity continues to hold. The key difference arises in dimension d = 2, where it turns out that the relaxation set is strictly smaller than what one obtains in the time-dependent case.

引用

页码：4060 / 4074

页数：15

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