On the metastable behavior of solutions to a class of parabolic systems

Article type: Research Article

Authors: Strani, Marta

Affiliations: Università di Milano Bicocca, Dipartimento di Matematica e Applicazioni, Milano, Italy. E-mails: marta.strani@unimib.it, martastrani@gmail.com

Abstract: In this paper we describe the metastable behavior of solutions to a class of parabolic systems. In particular, we improve some results contained in SIAM J. Math. Anal. 45(5) (2013), 3084–3113, by using different techniques to describe the slow motion of the internal layers. Numerical simulations illustrate the results.

Keywords: metastability, slow motion, internal layers, reaction–diffusion systems

DOI: 10.3233/ASY-141250

Journal: Asymptotic Analysis, vol. 90, no. 3-4, pp. 325-344, 2014