Existence and Stability of Contrast Structures in Multidimensional Singularly Perturbed Reaction-Diffusion-Advection Problems

DOI10.1007/978-3-319-57099-0_29zbMath1368.65219OpenAlexW2606793679MaRDI QIDQ5274959

M. A. Davydova, Nikolai N. Nefedov

Publication date: 7 July 2017

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-57099-0_29

zbMATH Keywords

algorithmLyapunov stabilitynonlinearstationary solutioninterior layermethod of differential inequalitiesreaction-diffusion-advection problemscontrast structuresingular pertubation

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Nonlinear elliptic equations (35J60) Stability and convergence of numerical methods for boundary value problems involving PDEs (65N12) Numerical solution of discretized equations for boundary value problems involving PDEs (65N22)

Related Items (3)

Existence and asymptotic stability of a stationary boundary-layer solution of the two-dimensional reaction-diffusion-advection problem ⋮ Asymptotics of the solution to a stationary piecewise-smooth reaction-diffusion-advection equation ⋮ Contrast structures in problems for a stationary equation of reaction-diffusion-advection type with discontinuous nonlinearity

Cites Work

• Unnamed Item
• Existence and stability of solutions with boundary layers in multidimensional singularly perturbed reaction-diffusion-advection problems
• Contrast structures in singularly perturbed quasilinear reaction-diffusion-advection equations
• Contrast structures in the reaction-diffusion-advection equations in the case of balanced advection
• Comparison Principle for Reaction-Diffusion-Advection Problems with Boundary and Internal Layers
• Asymptotic-numerical Investigation of Generation and Motion of Fronts in Phase Transition Models

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