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math.AP2025
Three-phase Muskat problem: uniform lifespan with respect to the width of the strip between interfaces
Ángel 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.AP2025
Unstable vortices, sharp non-uniqueness with forcing, and global smooth solutions for the SQG equation
Ángel Castro, Daniel Faraco, Francisco Mengual +1
We prove non-uniqueness of weak solutions to the forced -SQG equation with Sobolev regularity in the supercritical regime , covering the 2D Euler e…