On a Cahn‐Hilliard model for image segmentation
Lu Li, Laurence Cherfils, Alain Miranville, Philippe Rogeon, Rémy Guillevin · Mathematical Methods in the Applied Sciences · 2020
Our aim in this paper is to study the existence and uniqueness of solutions to a Cahn‐Hilliard type model proposed for image segmentation. We also prove the existence of unbounded (as time goes to infinity) solutions and give numerical simulations which illustrate our theoretical results.