4 papers
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…
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…
Localized mixing zone for Muskat bubbles and turned interfaces
Ángel Castro, Daniel Faraco, Francisco Mengual
We construct mixing solutions to the incompressible porous media equation starting from Muskat type data in the partially unstable regime. In particular, we consider bubble and tur…
Degraded mixing solutions for the Muskat problem
Ángel Castro, Daniel Faraco, Francisco Mengual
We prove the existence of infinitely many mixing solutions for the Muskat problem in the fully unstable regime displaying a linearly degraded macroscopic behaviour inside the mixin…