2 papers
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…
math.AP2025
Regularity and Uniqueness for a Model of Active Particles with Angle-Averaged Diffusions
Luca Alasio, Simon Schulz
We study the regularity and uniqueness of weak solutions of a degenerate parabolic equation, arising as the limit of a stochastic lattice model of self-propelled particles. The ang…