Critical velocity in kink-defect interaction models: rigorous results

• Published in: arXiv.org
• Main Authors: Gomide, Otávio M L, Guardia, Marcel, Seara, Tere M
• Format: Paper Journal Article
• Language: English
• Published: Ithaca Cornell University Library, arXiv.org 08.11.2018
• Subjects: Critical velocity; Energy levels; Interaction models; Mathematics - Dynamical Systems

In this work we study a model of interaction of kinks of the sine-Gordon equation with a weak defect. We obtain rigorous results concerning the so-called critical velocity derived in [7] by a geometric approach. More specifically, we prove that a heteroclinic orbit in the energy level \(0\) of a \(2...