Dynamics of periodic modes for the phenomenological equation of spin combustion
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 their stability.
English version (Springer): Ukrainian Mathematical Journal 65 (2013), no. 1, pp 21-46.
Citation Example: Belan E. P., Samoilenko A. M. Dynamics of periodic modes for the phenomenological equation of spin combustion // Ukr. Mat. Zh. - 2013. - 65, № 1. - pp. 21-43.