Email this article On Front Motion in a Burgers-Type Equation with Quadratic and Modular Nonlinearity and Nonlinear Amplification
- Authors: Nefedov N.N.1, Rudenko O.V.1,2,3,4
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Affiliations:
- Faculty of Physics
- Prokhorov General Physics Institute
- Schmidt Institute of Physics of the Earth
- Blekinge Institute of Technology
- Issue: Vol 97, No 1 (2018)
- Pages: 99-103
- Section: Mathematical Physics
- URL: https://journals.rcsi.science/1064-5624/article/view/225467
- DOI: https://doi.org/10.1134/S1064562418010143
- ID: 225467
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Abstract
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.
About the authors
N. N. Nefedov
Faculty of Physics
Email: rudenko@acs366.phys.msu.ru
Russian Federation, Moscow, 119991
O. V. Rudenko
Faculty of Physics; Prokhorov General Physics Institute; Schmidt Institute of Physics of the Earth; Blekinge Institute of Technology
Author for correspondence.
Email: rudenko@acs366.phys.msu.ru
Russian Federation, Moscow, 119991; Moscow, 119991; Moscow, 123810; Karlskrona
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