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math.AP2024
Entropy solutions to macroscopic IPM
Ãngel Castro, Daniel Faraco, Björn Gebhard
We investigate maximal potential energy dissipation as a selection criterion for subsolutions (coarse grained solutions) in the setting of the unstable Muskat problem. We show that…
math.AP2024
A proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation
Ãngel Castro, Daniel Faraco, Francisco Mengual +1
We give a simpler proof of Vishik's nonuniqueness Theorem for the forced 2D Euler equation in the vorticity class with . The main simplification is an alt…