论文标题
$ c^1 \ cap h^2 $ for 2d Euler方程中的速度爆炸
Velocity blow-up in $C^1\cap H^2$ for the 2D Euler equations
论文作者
论文摘要
我们给出了$ c^1 \ cap h^2 $ - 闪光的涡度 - 动态证明。我们的构造表明,独特的Yudovich解决方案可以瞬间逃脱$ C^1 $和$ H^2 $。
We give a vorticity-dynamical proof of $C^1\cap H^2$-illposedness of the 2D Euler equations. Our construction shows that the unique Yudovich solution escapes both $C^1$ and $H^2$ instantaneously.