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math.AP2021★ 3 cited
Existence of non-trivial non-concentrated compactly supported stationary solutions of the 2D Euler equation with finite energy
Javier Gómez-Serrano, Jaemin Park, Jia Shi
In this paper, we prove the existence of locally non-radial solutions to the stationary 2D Euler equations with compact support but non-concentrated around one or several points. O…
math.AP2021
Self-similar solutions for the Muskat equation
Eduardo García-Juárez, Javier Gómez-Serrano, Huy Q. Nguyen +1
We show the existence of self-similar solutions for the Muskat equation. These solutions are parameterized by ; they are exact corners of slope at and become s…