Truncation of Contact Defects in Reaction-Diffusion Systems

Abstract

SIAM Journal on Applied Dynamical Systems, Volume 23, Issue 1, Page 26-49, March 2024.
Abstract. Contact defects are time-periodic patterns in one space dimension that resemble spatially homogeneous oscillations with a defect embedded in their core region. For theoretical and numerical purposes, it is important to understand whether these defects persist when the domain is truncated to large spatial intervals, supplemented by appropriate boundary conditions. The present work shows that truncated contact defects exist and are unique on sufficiently large spatial intervals.