论文标题
SQG方程的非唯一性和紧凑性失败的直接方法
A direct approach to nonuniqueness and failure of compactness for the SQG equation
论文作者
论文摘要
我们给出了[Buckmaster-shkoller-Vicol，'16]中首先显示的表面准杂质方程（SQG）的弱解的非唯一性的替代证明。我们的方法直接在标量场的级别上进行。此外，我们证明每个具有紧凑的支持的平滑标量场可以保存整体，可以将其视为SQG解决方案的弱极限。
We give an alternative proof of the nonuniqueness of weak solutions to the surface quasigeostrophic equation (SQG) first shown in [Buckmaster-Shkoller-Vicol, '16]. 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.
