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Title:
On the steady states of 2D incompressible Euler Equations near Bahouri-Chemin Patch
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Abstract:
Bahouri-Chemin patch is an important singular steady-state for 2D incompressible Euler equations in the torus. In this talk, we consider steady states near the Bahouri-Chemin patch. More precisely, we use two different ways to approximate the semi-linear elliptic equations governing the Bahouri-Chemin patch. In one way, we get smooth steady states close to the Bahouri-Chemin patch in the sense of tthe Hölder norm of the velocity field, and in the other way, we obtain singular steady states near the Bahouri-Chemin in the sense of the continuous norm of the velocity field. This is the joint work with Tarek Elgindi.
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