Uniqueness and Nonuniqueness of Steady States of <scp>Aggregation‐Diffusion</scp> Equations

DOI10.1002/CPA.21950OpenAlexW3091768608MaRDI QIDQ5072034

Yao Yao, Xukai Yan, Matias G. Delgadino

Publication date: 25 April 2022

Published in: Communications on Pure and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1908.09782

Mathematics Subject Classification ID

Quantum theory (81-XX) Statistical mechanics, structure of matter (82-XX)

Related Items (12)

Local and Global Existence for Nonlocal Multispecies Advection-Diffusion Models ⋮ Classifying Minimum Energy States for Interacting Particles: Spherical Shells ⋮ Existence and non-uniqueness of stationary distributions for distribution dependent SDEs ⋮ Incompressible limits of the Patlak-Keller-Segel model and its stationary state ⋮ Slow traveling-wave solutions for the generalized surface quasi-geostrophic equation ⋮ Aggregation-diffusion energies on Cartan-Hadamard manifolds of unbounded curvature ⋮ Isodiametry, variance, and regular simplices from particle interactions ⋮ Applications of optimal transportation. Abstracts from the workshop held February 4--9, 2024 ⋮ Positivity of nonnegative solutions to a system of fractional Laplacian problems in a ball ⋮ From radial symmetry to fractal behavior of aggregation equilibria for repulsive-attractive potentials ⋮ Equilibration of Aggregation-Diffusion Equations with Weak Interaction Forces ⋮ An invariance principle for gradient flows in the space of probability measures

This page was built for publication: Uniqueness and Nonuniqueness of Steady States of <scp>Aggregation‐Diffusion</scp> Equations