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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Veröffentlicht in:	arXiv.org 2022-07
Hauptverfasser:	Carrillo, J A, Hittmeir, S, Volzone, B, Yao, Y
Format:	Artikel
Sprache:	eng
Schlagworte:	Agglomeration Calculus of variations Diffusion Mathematical models Nonlinear equations Symmetry Translations
Online-Zugang:	Volltext
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