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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 Institute of Technology, Faculty of Engineering, Department of Mechanical Engineering.
2018 (English)In: Doklady. Mathematics, ISSN 1064-5624, E-ISSN 1531-8362, Vol. 97, no 1, p. 99-103Article in journal (Refereed) 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.

Place, publisher, year, edition, pages
MAIK NAUKA/INTERPERIODICA/SPRINGER , 2018. Vol. 97, no 1, p. 99-103
National Category
Other Mathematics Other Mechanical Engineering
Identifiers
URN: urn:nbn:se:bth-16079DOI: 10.1134/S1064562418010143ISI: 000427590400026OAI: oai:DiVA.org:bth-16079DiVA, id: diva2:1195664
Available from: 2018-04-06 Created: 2018-04-06 Last updated: 2018-04-06Bibliographically approved

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Rudenko, Oleg

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