Front blocking versus propagation in the presence of drift term varying in the direction of propagation. (August 2020)

• Record Type: Journal Article
• Authors: Eberle, Simon
• Is Part Of: Nonlinear analysis. Volume 197(2020)
• Publication Date: 2020-08
• Subjects: 35B08 -- 35B30 -- 35B40 -- 35C07 -- 35K57; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2020.111836
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we derive quantitative conditions under which a compactly supported drift term depending on the direction of propagation blocks a traveling wave solution or lets it pass almost unchanged. We give explicit conditions on the drift term for blocking as well as almost unchanged propagation in one spatial dimension.