2 papers
math.AP2025
The Rayleigh-Taylor instability with local energy dissipation
Björn Gebhard, József J. Kolumbán
We consider the inhomogeneous incompressible Euler equations including their local energy inequality as a differential inclusion. Providing a corresponding convex integration theor…
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…