Nonlinear aggregation-diffusion equations: radial symmetry and long time asymptotics

We analyze under which conditions equilibration between two competing effects, repulsion modeled by nonlinear diffusion and attraction modeled by nonlocal interaction, occurs. This balance leads to continuous compactly supported radially decreasing equilibrium configurations for all masses. All stat...

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Bibliographic Details
Main Authors: Carrillo, JA, Hittmeir, S, Volzone, B, Yao, Y
Format: Journal article
Language:English
Published: Springer 2019