Fractional cross-diffusion in a bounded domain: existence, weak-strong uniqueness, and long-time asymptotics
Analysis of PDEs
2026-01-19 v2 Mathematical Physics
math.MP
Abstract
We study a fractional cross-diffusion system that describes the evolution of multi-species populations in the regime of large-distance interactions in a bounded domain. We prove existence and weak-strong uniqueness results for the initial-boundary value problem and analyze the convergence of the solutions to equilibrium via relative entropy methods.
Cite
@article{arxiv.2407.19824,
title = {Fractional cross-diffusion in a bounded domain: existence, weak-strong uniqueness, and long-time asymptotics},
author = {Nicola De Nitti and Nicola Zamponi},
journal= {arXiv preprint arXiv:2407.19824},
year = {2026}
}