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Truncation of Contact Defects in Reaction-Diffusion Systems.

Authors :
Ivanov, Milen
Sandstede, Björn
Source :
SIAM Journal on Applied Dynamical Systems. 2024, Vol. 23 Issue 1, p26-49. 24p.
Publication Year :
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. [ABSTRACT FROM AUTHOR]

Subjects

Subjects :
*NONLINEAR waves
*OSCILLATIONS

Details

Language :
English
ISSN :
15360040
Volume :
23
Issue :
1
Database :
Academic Search Index
Journal :
SIAM Journal on Applied Dynamical Systems
Publication Type :
Academic Journal
Accession number :
175180909
Full Text :
https://doi.org/10.1137/23M1546257