The Cahn-Hilliard equation with time-dependent constraint

Citations of this article
Mendeley users who have this article in their library.
Get full text


We propose an abstract variational inequality formulation of the Cahn-Hilliard equation with a time-dependent constraint. We introduce notions of strong and weak solutions, and prove that a strong solution, if it exists, is a weak solution, and that the existence of a unique weak solution holds under an appropriate time-dependence condition on the constraint. We also show that the weak solution is a strong solution under appropriate assumptions on the data. Our abstract results can be applied to various concrete problems. © 2012 Elsevier Ltd. All rights reserved.




Kubo, M. (2012). The Cahn-Hilliard equation with time-dependent constraint. Nonlinear Analysis, Theory, Methods and Applications, 75(14), 5672–5685.

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free