Asymptotic profile of solutions for the limit unstable Cahn-Hilliard equation with inertial term
Asymptotic profile of solutions for the limit unstable Cahn-Hilliard equation with inertial term
The aim of this paper is to investigate the asymptotic behavior of solutions to the limit unstable Cahn-Hilliard equation with inertial term $$ \partial_t^2 u + \partial_t u + \Delta ( \Delta u + | u |^{p-1} u)=0, \quad {\rm in } \quad (0,\infty) \times {\mathbb{R}}^n. $$ We shall prove …