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math.AP2026
Instantaneous regularisation via Harnack-type methods for a degenerate non-local equation
Simon M. Schulz
We prove an instantaneous smoothing effect for a degenerate non-local evolution equation (originally derived as the many-particle limit of a system of active Brownian particles). T…
math.AP2026
Segregated solutions of a degenerate cross-diffusion system with drifts
Filippo Santambrogio, Simon Schulz
We prove the global existence of segregated weak solutions of a one-dimensional degenerate cross-diffusion system with independent drifts, which is endowed with a Wasserstein gradi…