A new approach for the regularity of weak solutions of the 3D Boussinesq system

被引：0

作者：

Chamorro, Diego ^{[1
]}

Mindrila, Claudiu ^{[2
]}

机构：

[1] Univ Paris Saclay, Univ Evry, LaMME, CNRS, F-91025 Evry, France

[2] Charles Univ Prague, Fac Math & Phys, Dept Math Anal, Sokolovska 83, Prague, 18675, Czech Republic

来源：

NONLINEARITY | 2024年 / 37卷 / 06期

关键词：

Boussinesq equations; regularity theory; Morrey spaces; EQUATIONS;

D O I：

10.1088/1361-6544/ad4504

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We address here the problem of regularity for weak solutions of the 3D Boussinesq equation. By introducing the new notion of partial suitable solutions, which imposes some conditions over the velocity field only, we show a local gain of regularity for the two variables u -> and theta.

引用

页数：41

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