Asymptotics of the front motion in the reaction-diffusion-advection problem
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Publication:889176
DOI10.1134/S0965542514100029zbMath1327.35174MaRDI QIDQ889176
N. T. Levashova, E. A. Antipov, Nikolai N. Nefedov
Publication date: 6 November 2015
Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)
asymptotic methodsfrontsinternal layersreaction-diffusion-advection equationsmethod of differential inequalitiessingularly perturbed parabolic problems
Singular perturbations in context of PDEs (35B25) Reaction-diffusion equations (35K57) Asymptotic expansions of solutions to PDEs (35C20)
Related Items (11)
On front motion in a Burgers-type equation with quadratic and modular nonlinearity and nonlinear amplification ⋮ Asymptotic solution of the inverse problem for restoring the modular type source in Burgers' equation with modular advection ⋮ Some features of solving an inverse backward problem for a generalized Burgers' equation ⋮ Existence and asymptotic stability of a stationary boundary-layer solution of the two-dimensional reaction-diffusion-advection problem ⋮ Solving of the coefficient inverse problems for a nonlinear singularly perturbed reaction-diffusion-advection equation with the final time data ⋮ Asymptotic solution of coefficient inverse problems for Burgers-type equations ⋮ Existence of a solution in the form of a moving front of a reaction-diffusion-advection problem in the case of balanced advection ⋮ On the motion, amplification, and blow-up of fronts in Burgers-type equations with quadratic and modular nonlinearity ⋮ Solving coefficient inverse problems for nonlinear singularly perturbed equations of the reaction-diffusion-advection type with data on the position of a reaction front ⋮ Development of methods of asymptotic analysis of transition layers in reaction-diffusion-advection equations: theory and applications ⋮ Convergence analysis for forward and inverse problems in singularly perturbed time-dependent reaction-advection-diffusion equations
Cites Work
- Singularly perturbed problems with boundary and internal layers
- Asymptotic theory of contrast structures (review)
- Spikelike contrast structures in the parabolic system of two singularly perturbed equations
- Existence and asymptotic stability of periodic solutions with an interior layer of reaction-advection-diffusion equations
- Contrast structures in the reaction-diffusion-advection equations in the case of balanced advection
- Front motion in the parabolic reaction-diffusion problem
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