Ordinary differential equations (ODEs) on inertial manifolds for reaction-diffusion systems in a singularly perturbed domain with several thin channels

Yoshihisa Morita; Shuichi Jimbo

doi:10.1007/bf01048156

Ordinary differential equations (ODEs) on inertial manifolds for reaction-diffusion systems in a singularly perturbed domain with several thin channels

Journal of Dynamics and Differential Equations ◽

10.1007/bf01048156 ◽

1992 ◽

Vol 4 (1) ◽

pp. 65-93 ◽

Cited By ~ 11

Author(s):

Yoshihisa Morita ◽

Shuichi Jimbo

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Inertial Manifolds ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Singularly Perturbed Domain

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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 ◽

Cited By ~ 14

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 ◽

Cited By ~ 11

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 ◽

Cited By ~ 5

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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A robust domain decomposition method for singularly perturbed parabolic reaction-diffusion systems

Journal of Mathematical Chemistry ◽

10.1007/s10910-019-01026-z ◽

2019 ◽

Vol 57 (5) ◽

pp. 1557-1578 ◽

Cited By ~ 1

Author(s):

Sunil Kumar ◽

Joginder Singh ◽

Mukesh Kumar

Keyword(s):

Domain Decomposition ◽

Decomposition Method ◽

Domain Decomposition Method ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Orbital Stability and Inertial Manifolds for Certain Reaction Diffusion Systems

Proceedings of the London Mathematical Society ◽

10.1112/plms/s3-69.1.91 ◽

1994 ◽

Vol s3-69 (1) ◽

pp. 91-120 ◽

Cited By ~ 4

Author(s):

Russell A. Smith

Keyword(s):

Orbital Stability ◽

Reaction Diffusion ◽

Inertial Manifolds ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Singularly perturbed partly dissipative reaction–diffusion systems in case of exchange of stabilities

Journal of Mathematical Analysis and Applications ◽

10.1016/s0022-247x(02)00286-x ◽

2002 ◽

Vol 273 (1) ◽

pp. 217-235 ◽

Cited By ~ 1

Author(s):

V.F. Butuzov ◽

N.N. Nefedov ◽

K.R. Schneider

Keyword(s):

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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An almost third order finite difference scheme for singularly perturbed reaction–diffusion systems

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2010.03.011 ◽

2010 ◽

Vol 234 (8) ◽

pp. 2501-2515 ◽

Cited By ~ 12

Author(s):

C. Clavero ◽

J.L. Gracia ◽

F.J. Lisbona

Keyword(s):

Finite Difference ◽

Difference Scheme ◽

Finite Difference Scheme ◽

Reaction Diffusion ◽

Singularly Perturbed ◽

Third Order ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Inertial manifolds for travelling-wave solutions of reaction-diffusion systems

Communications on Pure and Applied Mathematics ◽

10.1002/cpa.3160480205 ◽

1995 ◽

Vol 48 (2) ◽

pp. 167-198 ◽

Cited By ~ 9

Author(s):

Anatoli V. Babin

Keyword(s):

Reaction Diffusion ◽

Travelling Wave ◽

Inertial Manifolds ◽

Travelling Wave Solutions ◽

Reaction Diffusion Systems ◽

Wave Solutions ◽

Diffusion Systems

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A class of singularly perturbed reaction diffusion systems

Applied Mathematics and Mechanics ◽

10.1007/bf02453371 ◽

1997 ◽

Vol 18 (3) ◽

pp. 273-277 ◽

Cited By ~ 4

Author(s):

Mo Jiaqi

Keyword(s):

Reaction Diffusion ◽

Singularly Perturbed ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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