Non-Uniqueness and Energy Dissipation for 2D Euler Equations with Vorticity in Hardy Spaces

被引：2

作者：

Buck, Miriam ^{[1
]}

Modena, Stefano ^{[2
]}

机构：

[1] Tech Univ Darmstadt, Dept Math, D-64285 Darmstadt, Germany

[2] Gran Sasso Sci Inst, I-67100 Laquila, Italy

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2024年 / 26卷 / 02期

关键词：

Convex integration; Euler equations; Nonuniqueness; Real Hardy spaces; FLOWS;

D O I：

10.1007/s00021-024-00860-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct by convex integration examples of energy dissipating solutions to the 2D Euler equations on R-2 with vorticity in the Hardy space H-p(R-2), for any 2/3 < p < 1.

引用

页数：39

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