3 papers
math.AP2021
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…
math.AP2020
Dissipative Euler flows for vortex sheet initial data without distinguished sign
Francisco Mengual, László Székelyhidi
We construct infinitely many admissible weak solutions to the 2D incompressible Euler equations for vortex sheet initial data. Our initial datum has vorticity concentrated on a sim…
math.AP2018
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…