Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction
Analysis of PDEs
2026-04-10 v2 Dynamical Systems
Abstract
In this paper we study the long-time behavior of a nonlocal Cahn-Hilliard system with singular potential, degenerate mobility, and a reaction term. In particular, we prove the existence of a global attractor with finite fractal dimension, the existence of an exponential attractor, and convergence to equilibria for two physically relevant classes of reaction terms.
Keywords
Cite
@article{arxiv.1706.05996,
title = {Long-time behavior of a nonlocal Cahn-Hilliard equation with reaction},
author = {Annalisa Iuorio and Stefano Melchionna},
journal= {arXiv preprint arXiv:1706.05996},
year = {2026}
}