A direct approach to nonuniqueness and failure of compactness for the SQG equation
A direct approach to nonuniqueness and failure of compactness for the SQG equation
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DOI：
10.1088/1361-6544/abe732
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发表时间：
2020-07
期刊：
影响因子：
1.7
通讯作者：
Philip Isett;A. Ma
中科院分区：
文献类型：
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作者：
Philip Isett;A. Ma
我们给出了曲面拟等转方程（SQG）弱解的非唯一性的另一种证明。我们的方法直接在标量场的层次上进行。进一步证明了每一个具有紧支持且守恒积分的光滑标量场都可以被实现为SQG解的弱极限。
We give an alternative proof of the nonuniqueness of weak solutions to the surface quasigeostrophic equation (SQG) first shown in []. Our approach proceeds directly at the level of the scalar field. Furthermore, we prove that every smooth scalar field with compact support that conserves the integral can be realized as a weak limit of solutions to SQG.