Geodesic
Asymptotics of the front motion in the reaction-diffusion-advection problem
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 10, pp. 1594-1607 Cet article a éte moissonné depuis la source Math-Net.Ru

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A singularly perturbed initial boundary value problem is considered for a parabolic equation that is known in application as the reaction-diffusion-advection equation. An asymptotic expansion of solutions with a moving front is constructed. This asymptotics is proved by the method of differential inequalities, which is based on well-known comparison theorems and develops the ideas of formal asymptotics for constructing upper and lower solutions in singularly perturbed problems with internal and boundary layers. 
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E. A. Antipov; N. T. Levashova; N. N. Nefedov. Asymptotics of the front motion in the reaction-diffusion-advection problem. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 10, pp. 1594-1607. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_10_a5/

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