2000 character limit reached
A cross-diffusion system with independent drifts and fast diffusion (2510.07937v1)
Published 9 Oct 2025 in math.AP
Abstract: We study a one-dimensional cross-diffusion system for two interacting populations on the torus, with a fast-diffusion law with exponent $0< \alpha\le 1$ and different external potentials. For arbitrary non-negative $L{1}$ initial data with bounded entropy and a mixing condition we prove the existence of global weak solutions. This extends the recent result of M\'esz\'aros, Parker from the linear diffusion ($\alpha=1$) to the fast-diffusion.
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.