Some properties of solutions for an isothermal viscous Cahn–Hilliard equation with inertial term

• Main Authors: Changchun Liu, Jiaojiao Wang
• Format: Article
• Language: English
• Published: SpringerOpen 2018-04-01
• Series: Boundary Value Problems
• Subjects: Cahn–Hilliard equation with inertial term; Blow-up; Global existence
• Online Access: http://link.springer.com/article/10.1186/s13661-018-0982-2

Abstract In this paper, we study the global existence and blow-up of solutions for an isothermal viscous Cahn–Hilliard equation with inertial term, which arises in isothermal fast phase separation processes. Based on the Galerkin method and the compactness theorem, we establish the existence of the global generalized solution. Using a lemma on the ordinary differential inequality of second order, we prove the blow-up of the solution for the initial-boundary problem.