Competing effects in fourth‐order aggregation–diffusion equations

We give sharp conditions for global in time existence of gradient flow solutions to a Cahn–Hilliard‐type equation, with backwards second‐order degenerate diffusion, in any dimension and for general initial data. Our equation is the 2‐Wasserstein gradient flow of a free energy with two competing effe...

Full description

Bibliographic Details
Main Authors: Antonio Carrillo, J, Esposito, A, Falcó, C, Fernández‐Jiménez, A
Format: Journal article
Language:English
Published: Wiley 2024