论文标题

Bahouri-Chemin贴片附近的2D不可压缩的Euler方程的常规和奇异稳态

Regular and Singular Steady States of 2D incompressible Euler equations near the Bahouri-Chemin Patch

论文作者

Elgindi, Tarek M., Huang, Yupei

论文摘要

我们考虑$ \ mathbb {t}^2 $中二维不可压缩的Euler方程的稳态状态,并在特定的单一稳定状态周围构建平滑而奇异的稳态。更确切地说,我们构建了具有光滑和奇异的稳定解决方案的家族,这些家庭会融合到Bahouri-Chemin贴片。

We consider steady states of the two-dimensional incompressible Euler equations in $\mathbb{T}^2$ and construct smooth and singular steady states around a particular singular steady state. More precisely, we construct families of smooth and singular steady solutions that converge to the Bahouri-Chemin patch.

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