Multiple Scale Reaction-Diffusion-Advection Problems with Moving Fronts

In this work we discuss the further development of the general scheme of the asymptotic method of differential inequalities to investigate stability and motion of sharp internal layers (fronts) for nonlinear singularly perturbed parabolic equations, which are called in applications reaction-diffusio...

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Bibliographic Details
Published in:Journal of physics. Conference series 2016-06, Vol.727 (1), p.12011
Main Author: Nefedov, Nikolay
Format: Article
Language:English
Subjects:
Advection
Advection-diffusion equation
Asymptotic methods
Boundary value problems
Mathematical analysis
Motion stability
Physics
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Summary:In this work we discuss the further development of the general scheme of the asymptotic method of differential inequalities to investigate stability and motion of sharp internal layers (fronts) for nonlinear singularly perturbed parabolic equations, which are called in applications reaction-diffusion-advection equations. Our approach is illustrated for some new important cases of initial boundary value problems. We present results on stability and on the motion of the fronts.
ISSN:1742-6588
1742-6596
1742-6596
DOI:10.1088/1742-6596/727/1/012011