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math.AP2025
Time-periodic non-radial solutions near monotone vortices in linearized 2D Euler
Ãngel Castro, Daniel Lear
We study the linearized 2D Euler equations around radial vortex profiles. Previous works have shown that the strict monotonicity of the vorticity profile leads to axisymmetrization…
math.AP2025
Three-phase Muskat problem: uniform lifespan with respect to the width of the strip between interfaces
Ãngel Castro, Liangchen Zou
We consider the three-phase Muskat problem with different densities and the same viscosities. The lifespan of the solutions with respect to the width of the strip between interface…
math.AP2024
Traveling waves near Poiseuille flow for the 2D Euler equation
Ãngel Castro, Daniel Lear
In this paper we reveal the existence of a large family of new, nontrivial and Lipschitz traveling waves for the 2D Euler equation at an arbitrarily small distance from the Poiseui…