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

Lecture Notes in Computer Science - Numerical Analysis and Its Applications ◽

10.1007/978-3-319-57099-0_29 ◽

2017 ◽

pp. 277-285 ◽

Author(s):

M. A. Davydova ◽

N. N. Nefedov

Keyword(s):

Reaction Diffusion ◽

Singularly Perturbed ◽

Existence And Stability ◽

Contrast Structures

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Contrast structures in singularly perturbed quasilinear reaction-diffusion-advection equations

Differential Equations ◽

10.1134/s0012266113060049 ◽

2013 ◽

Vol 49 (6) ◽

pp. 688-706 ◽

Author(s):

N. N. Nefedov ◽

M. A. Davydova

Keyword(s):

Reaction Diffusion ◽

Singularly Perturbed ◽

Contrast Structures

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Existence and stability of solutions with boundary layers in multidimensional singularly perturbed reaction-diffusion-advection problems

Mathematical Notes ◽

10.1134/s0001434615110231 ◽

2015 ◽

Vol 98 (5-6) ◽

pp. 909-919 ◽

Author(s):

M. A. Davydova

Keyword(s):

Boundary Layers ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Stability Of Solutions ◽

Existence And Stability

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Contrast structures in multidimensional singularly perturbed reaction-diffusion-advection problems

Differential Equations ◽

10.1134/s0012266112050138 ◽

2012 ◽

Vol 48 (5) ◽

pp. 745-755 ◽

Author(s):

N. N. Nefedov ◽

M. A. Davydova

Keyword(s):

Reaction Diffusion ◽

Singularly Perturbed ◽

Contrast Structures

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The Existence and Stability of Periodic Solutions with a Boundary Layer in a Two-Dimensional Reaction-Diffusion Problem in the Case of Singularly Perturbed Boundary Conditions of the Second Kind

Moscow University Physics Bulletin ◽

10.3103/s0027134920020083 ◽

2020 ◽

Vol 75 (2) ◽

pp. 116-122 ◽

Author(s):

N. N. Nefedov ◽

E. I. Nikulin

Keyword(s):

Boundary Layer ◽

Boundary Conditions ◽

Periodic Solutions ◽

Reaction Diffusion ◽

Diffusion Problem ◽

Singularly Perturbed ◽

Two Dimensional ◽

Existence And Stability

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The Existence of a Boundary-Layer Stationary Solution to a Reaction–Diffusion Equation with Singularly Perturbed Neumann Boundary Condition

Moscow University Physics Bulletin ◽

10.3103/s0027134920050185 ◽

2020 ◽

Vol 75 (5) ◽

pp. 409-414

Author(s):

N. N. Nefedov ◽

N. N. Deryugina

Keyword(s):

Boundary Layer ◽

Boundary Condition ◽

Diffusion Equation ◽

Stationary Solution ◽

Neumann Boundary Condition ◽

Neumann Boundary ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Equation

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Numerical method for a boundary value problem for a linear singularly perturbed parabolic delay differential equation of reaction-diffusion type with discontinuous source term

Journal of Physics Conference Series ◽

10.1088/1742-6596/1850/1/012063 ◽

2021 ◽

Vol 1850 (1) ◽

pp. 012063

Author(s):

Parthiban Saminathan ◽

Franklin Victor

Keyword(s):

Differential Equation ◽

Boundary Value Problem ◽

Numerical Method ◽

Delay Differential Equation ◽

Source Term ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Diffusion Type ◽

Discontinuous Source Term ◽

Delay Differential

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Additive schemes based domain decomposition algorithm for solving singularly perturbed parabolic reaction-diffusion systems

Computational and Applied Mathematics ◽

10.1007/s40314-021-01457-y ◽

2021 ◽

Vol 40 (3) ◽

Author(s):

Aakansha ◽

Joginder Singh ◽

Sunil Kumar

Keyword(s):

Domain Decomposition ◽

Reaction Diffusion ◽

Decomposition Algorithm ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Additive Schemes ◽

Diffusion Systems ◽

Domain Decomposition Algorithm

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Breathing pulses in singularly perturbed reaction-diffusion systems

Nonlinearity ◽

10.1088/0951-7715/28/7/2211 ◽

2015 ◽

Vol 28 (7) ◽

pp. 2211-2246 ◽

Author(s):

Frits Veerman

Keyword(s):

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Robust exponential convergence of hp FEM for singularly perturbed reaction-diffusion systems with multiple scales

IMA Journal of Numerical Analysis ◽

10.1093/imanum/drs013 ◽

2012 ◽

Vol 33 (2) ◽

pp. 609-628 ◽

Author(s):

J. M. Melenk ◽

C. Xenophontos ◽

L. Oberbroeckling

Keyword(s):

Multiple Scales ◽

Exponential Convergence ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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The Nonlinear Singularly Perturbed Initial Boundary Value Problems of Nonlocal Reaction Diffusion Systems

Acta Mathematicae Applicatae Sinica English Series ◽

10.1007/s10255-006-0304-9 ◽

2006 ◽

Vol 22 (2) ◽

pp. 277-286 ◽

Author(s):

Jia-qi Mo ◽

Wan-tao Lin

Keyword(s):

Boundary Value Problems ◽

Boundary Value ◽

Reaction Diffusion ◽

Initial Boundary ◽

Singularly Perturbed ◽

Initial Boundary Value Problems ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Initial Boundary Value ◽

Nonlocal Reaction

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