Porous medium equation and cross-diffusion systems as limit of nonlocal interaction

Author:

Burger Martin,Esposito AntonioORCID

Funder

Horizon 2020 Framework Programme

Deutsche Forschungsgemeinschaft

ERC

Sapienza Università di Roma

Horizon 2020

European Research Executive Agency

Friedrich-Alexander-Universität Erlangen-Nürnberg

Publisher

Elsevier BV

Subject

Applied Mathematics,Analysis

Reference48 articles.

1. Gradient flows in metric spaces and in the space of probability measures;Ambrosio,2008

2. Exponential convergence to equilibrium for coupled systems of nonlinear degenerate drift diffusion equations;Beck;SIAM J. Math. Anal.,2023

3. Lp theory for the multidimensional aggregation equation;Bertozzi;Comm. Pure Appl. Math.,2011

4. Dynamic optimal transport on networks;Burger,2021

5. A splitting method for nonlinear diffusions with nonlocal, nonpotential drifts;Carlier;Nonlinear Anal.,2017

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1. Degenerate Cahn–Hilliard systems: From nonlocal to local;Communications in Contemporary Mathematics;2024-08-31

2. Competing effects in fourth‐order aggregation–diffusion equations;Proceedings of the London Mathematical Society;2024-07-22

3. Nonlocal approximation of nonlinear diffusion equations;Calculus of Variations and Partial Differential Equations;2024-04-13

4. Beginner’s guide to aggregation-diffusion equations;SeMA Journal;2024-03-13

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