WEAK SOLUTIONS TO THE STATIONARY INCOMPRESSIBLE EULER EQUATIONS

被引：18
|
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.
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页码：4060 / 4074
页数：15
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