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arXiv · 2304.04582

Partial mass concentration for fast-diffusions with non-local aggregation terms

José A. Carrillo·A. Fernández-Jiménez·D. Gómez-Castro
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Abstract

We study well-posedness and long-time behaviour of aggregation-diffusion equations of the form $\frac{\partial ρ}{\partial t} = Δρ^m + \nabla \cdot( ρ(\nabla V + \nabla W \ast ρ))$ in the fast-diffusion range, $0 0$.

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José A. Carrillo, A. Fernández-Jiménez, D. Gómez-Castro. 2023-04-10. Partial mass concentration for fast-diffusions with non-local aggregation terms. https://arxiv.org/abs/2304.04582

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