We consider a scalar parabolic equation on a circle of radius r. The analyzed problem is a phenomenological model of gasless combustion on the surface of a cylinder of radius r. We study the problems of existence of traveling waves, their asymptotic form and stability and the nature of gaining and losing their stability.
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Translated from Ukrains’kyi Matematychnyi Zhurnal, Vol. 65, No. 1, pp. 21–43, January, 2013.
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Belan, E.P., Samoilenko, A.M. Dynamics of periodic modes for the phenomenological equation of spin combustion. Ukr Math J 65, 21–46 (2013). https://doi.org/10.1007/s11253-013-0763-0
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DOI: https://doi.org/10.1007/s11253-013-0763-0