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arXiv · 2407.19824

Fractional cross-diffusion in a bounded domain: existence, weak-strong uniqueness, and long-time asymptotics

Nicola De Nitti·Nicola Zamponi
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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.

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Nicola De Nitti, Nicola Zamponi. 2024-07-29. Fractional cross-diffusion in a bounded domain: existence, weak-strong uniqueness, and long-time asymptotics. https://arxiv.org/abs/2407.19824

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