Work

Uniform in time $L^{\infty}$-estimates for nonlinear aggregation-diffusion equations

Year: 2017

Type: preprint

Abstract: We derive uniform in time $L^\infty$-bound for solutions to an aggregation-diffusion model with attractive-repulsive potentials or fully attractive potentials. We analyze two cases: either the repulsive nonlocal term dominates over the attractive part, or the diffusion term dominates over the fully attractive nonlocal part. When the attractive potential has a weaker singularity ($2-n\leq B

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1712.09541

Authors: Carrillo, Jose A., Wang, Jinhuan

Institutions: Imperial College London, Liaoning University

Language: English

Topic: Nonlinear Partial Differential Equations

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funder: Engineering and Physical Sciences Research Council

Awards: G1257954173, Nonlocal Partial Differential Equations: entropies, gradient flows, phase transitions and applications, G7913370175

OpenAlex ID: W2780049596

Cites: 15

Cited by: 2

Related to: 10