Journal of Siberian Federal University. Mathematics & Physics: To Properties of Solutions to Reaction-diﬀusion Equation with Double Nonlinearity with Distributed Parameters

Journal of Siberian Federal University. Mathematics & Physics / To Properties of Solutions to Reaction-diﬀusion Equation with Double Nonlinearity with Distributed Parameters

Issue: Journal of Siberian Federal University. Mathematics & Physics. 2013 6 (2)
Authors: Aripov, Mersaid; Sadullaeva, Shakhlo A.
Contact information: Aripov, Mersaid: National University of Uzbekistan, Almazar, Vuz gorodok, 174, Tashkent, 100174, Uzbekistan; e-mail: ; Sadullaeva, Shakhlo A.: Tashkent University of Information Technologies, Yunus Abad, Amir Temur, 108, Tashkent, 100084, Uzbekistan; e-mail: c
Keywords: Reaction-diﬀusion equation; double nonlinearity; free boundary
Abstract: The properties of solutions of self-similar and approximately self-similar system of the reaction-diﬀusion with double nonlinearity are investigated. The inﬂuence of numerical parameters to an evolution of the studied process is established. The existence of ﬁnite and quenching solutions is proved and their asymptotic behavior at the inﬁnity is described. The condition of global solvability to the Cauchy problem, generalizing the results of other authors, is found. Knerr -Kersner type estimate for free boundary is obtained. The results of numerical experiments are enclosed.
Pages: 157–167
Paper at repository of SibFU: https://elib.sfu-kras.ru/handle/2311/9674