Convergence to steady states of solutions of the Cahn-Hilliard and Caginalp equations with dynamic boundary conditions

Abstract

We consider a solution of the Cahn-Hilliard equation or an associated Caginalp problem with dynamic boundary condition in the case of a general potential and prove that under some conditions on the potential it converges, as time goes to infinity, to a stationary solution.

Keywords

• Convergence
• steady
• states
• solutions
• Cahn-Hilliard
• Caginalp
• equations
• dynamic
• boundary
• conditions