Non-renormalized solutions to the continuity equation

被引:33
作者
Modena, Stefano [1 ]
Szekelyhidi, Laszlo, Jr. [1 ]
机构
[1] Univ Leipzig, Inst Math, D-04109 Leipzig, Germany
基金
欧洲研究理事会;
关键词
UNIQUENESS; BV;
D O I
10.1007/s00526-019-1651-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
We show that there are continuous, W1, p ( p < d- 1), incompressible vector fields for which uniqueness of solutions to the continuity equation fails.
引用
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页数:30
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