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On Front Motion in a Burgers-Type Equation with Quadratic and Modular Nonlinearity and Nonlinear Amplification
Moscow MV Lomonosov State Univ, RUS.
Blekinge Tekniska Högskola, Fakulteten för teknikvetenskaper, Institutionen för maskinteknik.
2018 (engelsk)Inngår i: Doklady. Mathematics, ISSN 1064-5624, E-ISSN 1531-8362, Vol. 97, nr 1, s. 99-103Artikkel i tidsskrift (Fagfellevurdert) Published
Abstract [en]

A singularly perturbed initial-boundary value problem for a parabolic equation known in applications as a Burgers-type or reaction-diffusion-advection equation is considered. An asymptotic approximation of solutions with a moving front is constructed in the case of modular and quadratic nonlinearity and nonlinear amplification. The influence exerted by nonlinear amplification on front propagation and blowing- up is determined. The front localization and the blowing-up time are estimated.

sted, utgiver, år, opplag, sider
MAIK NAUKA/INTERPERIODICA/SPRINGER , 2018. Vol. 97, nr 1, s. 99-103
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URN: urn:nbn:se:bth-16079DOI: 10.1134/S1064562418010143ISI: 000427590400026OAI: oai:DiVA.org:bth-16079DiVA, id: diva2:1195664
Tilgjengelig fra: 2018-04-06 Laget: 2018-04-06 Sist oppdatert: 2018-04-06bibliografisk kontrollert

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