Dynamics of periodic modes for the phenomenological equation of spin combustion

• Datum: 2013
• Hauptverfasser: Belan, E. P., Samoilenko, A. M., Белан, Е. П., Самойленко, А. М.
• Format: Artikel
• Sprache: Russisch; Englisch
• Veröffentlicht: Institute of Mathematics, NAS of Ukraine 2013
• Online Zugang: https://umj.imath.kiev.ua/index.php/umj/article/view/2402
• Назва журналу: Ukrains’kyi Matematychnyi Zhurnal

We consider a scalar parabolic equation in the circle of radius r. This problem is a gasless combustion phenomenological model in the surface of a cylinder of $r$ radius. We consider the problems of the existence, asymptotic form and stability of traveling waves and the nature of gaining, losing the...