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math.AP2025
Global exponential stability of stationary profiles in a thin film equation with second-order diffusion
Christian Parsch
We study existence and long-time behavior of weak solutions to a thin-film equation with a confinement potential and a second-order degenerate diffusion term. It is known that in a…
math.AP2024★ 1 cited
Convergence to equilibrium for cross diffusion systems with nonlocal interaction
Daniel Matthes, Christian Parsch
We study the existence and the rate of equilibration of weak solutions to a two-component system of non-linear diffusion-aggregation equations, with small cross diffusion effects.…