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math.AP2024
Continuum of coupled Wasserstein gradient flows
Clément Cancès, Daniel Matthes, Ismael Medina +1
We study a system of drift-diffusion PDEs for a potentially infinite number of incompressible phases, subject to a joint pointwise volume constraint. Our analysis is based on the i…
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.…