Global weak solutions to the three-dimensional inviscid Boussinesq system in the presence of magnetic field

被引：0
作者：
Yang Li
机构：
[1] Anhui University,School of Mathematical Sciences
来源：
Zeitschrift für angewandte Mathematik und Physik | 2019年 / 70卷
关键词：
Boussinesq system; Weak solutions; Convex integration; 35M11; 35D30;
D O I：
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摘要：
In this paper, we consider the inviscid Boussinesq system in the presence of magnetic field in three space dimensions. We prove that the system admits infinitely many global weak solutions with large initial data. Our main tool is based on the convex integration method developed by De Lellis and Székelyhidi in the context of incompressible Euler system.
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