Nonlinear degenerate cross-diffusion systems with nonlocal interaction

From MaRDI portal
Publication:682172

DOI10.1016/j.na.2017.12.003zbMath1432.35114arXiv1710.01653OpenAlexW2963080825MaRDI QIDQ682172

Marco Di Francesco, Antonio Esposito, Simone Fagioli

Publication date: 13 February 2018

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.01653




Related Items (23)

Nonlocal cross-diffusion systems for multi-species populations and networksVariability and Heterogeneity in Natural Swarms: Experiments and ModelingExistence and regularity for a system of porous medium equations with small cross-diffusion and nonlocal driftsSorting Phenomena in a Mathematical Model For Two Mutually Attracting/Repelling SpeciesCoupled McKean–Vlasov diffusions: wellposedness, propagation of chaos and invariant measuresMany-particle limit for a system of interaction equations driven by Newtonian potentialsNonlocal Cross-Interaction Systems on Graphs: Nonquadratic Finslerian Structure and Nonlinear MobilitiesNonlocal cross-interaction systems on graphs: energy landscape and dynamicsExponential Convergence to Equilibrium for Coupled Systems of Nonlinear Degenerate Drift Diffusion EquationsMultispecies cross-diffusions: from a nonlocal mean-field to a porous medium system without self-diffusionSegregation effects and gap formation in cross-diffusion modelsAnalysis of Cross-Diffusion Systems for Fluid Mixtures Driven by a Pressure GradientPorous medium equation and cross-diffusion systems as limit of nonlocal interactionA Degenerate Cross-Diffusion System as the Inviscid Limit of a Nonlocal Tissue Growth ModelSecond order two-species systems with nonlocal interactions: existence and large damping limitsA BDF2-approach for the non-linear Fokker-Planck equationMeasure solutions to a system of continuity equations driven by Newtonian nonlocal interactionsDerivation of a fractional cross-diffusion system as the limit of a stochastic many-particle system driven by Lévy noiseMultiple patterns formation for an aggregation/diffusion predator-prey systemTrend to equilibrium for systems with small cross-diffusionConvergence of a finite volume scheme for a system of interacting species with cross-diffusionQuantitative mean-field limit for interacting branching diffusionsTwo-species competition model with chemotaxis: well-posedness, stability and dynamics



Cites Work


This page was built for publication: Nonlinear degenerate cross-diffusion systems with nonlocal interaction