Geodesic
To properties of solutions to reaction-diffusion equation with double nonlinearity with distributed parameters
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 2, pp. 157-167

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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.
Keywords: double nonlinearity, free boundary.
Mots-clés : reaction-diffusion equation 
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     title = {To properties of solutions to reaction-diffusion equation with double nonlinearity with distributed parameters},
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Mersaid Aripov; Shakhlo A. Sadullaeva. To properties of solutions to reaction-diffusion equation with double nonlinearity with distributed parameters. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 6 (2013) no. 2, pp. 157-167. http://geodesic.mathdoc.fr/item/JSFU_2013_6_2_a2/