Dynamics of periodic modes for the phenomenological equation of spin combustion

• Дата: 2013
• Автори: Belan, E. P., Samoilenko, A. M., Белан, Е. П., Самойленко, А. М.
• Формат: Стаття
• Мова: Російська; Англійська
• Опубліковано: Institute of Mathematics, NAS of Ukraine 2013
• Онлайн доступ: 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...