We investigate the asymptotic behavior of solutions to semi-linear parabolic equations in bounded intervals. In particular, we are concerned with a special class of solutions, called interface solutions, which exhibit a metastable behavior, meaning that their convergence towards the asymptotic configuration of the system is exponentially slow. The key of our analysis is a linearization around an approximation of the steady state of the problem, and the reduction of the dynamics to a one-dimensional motion, describing the slow convergence of the interfaces towards the equilibrium.
Strani M. (Corresponding)
|Data di pubblicazione:||2018|
|Titolo:||Asymptotic behavior of interface solutions to semilinear parabolic equations with nonlinear forcing terms|
|Rivista:||RIVISTA DI MATEMATICA DELLA UNIVERSITÀ DI PARMA|
|Appare nelle tipologie:||2.1 Articolo su rivista |