On the boundary control of coupled reaction-diffusion equations having the same diffusivity parameters

53rd IEEE Conference on Decision and Control ◽

10.1109/cdc.2014.7040205 ◽

2014 ◽

Author(s):

Antonello Baccoli ◽

Yury Orlov ◽

Alessandro Pisano

Keyword(s):

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Coupled Reaction

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On nonlinear coupled reaction-diffusion equations

Applied Mathematics and Computation ◽

10.1016/0096-3003(85)90012-8 ◽

1985 ◽

Vol 16 (4) ◽

pp. 297-307 ◽

Author(s):

B.G. Pachpatte

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Coupled Reaction

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An efficient wavelet-based method for the numerical solutions of nonlinear coupled reaction–diffusion equations in biochemical engineering

Journal of Mathematical Chemistry ◽

10.1007/s10910-019-01014-3 ◽

2019 ◽

Vol 57 (4) ◽

pp. 1154-1168

Author(s):

M. Mahalakshmi ◽

G. Hariharan

Keyword(s):

Numerical Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Biochemical Engineering ◽

Coupled Reaction

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Stabilization of Reaction Diffusion Equations With State Delay Using Boundary Control Input

IEEE Transactions on Automatic Control ◽

10.1109/tac.2016.2539001 ◽

2016 ◽

Vol 61 (12) ◽

pp. 4041-4047 ◽

Author(s):

Tomoaki Hashimoto ◽

Miroslav Krstic

Keyword(s):

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Control Input ◽

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Existence of Stable Spatially Periodic Steady States in Coupled Reaction-Diffusion Equations

Advances in Applied Mathematics ◽

10.1006/aama.1993.1005 ◽

1993 ◽

Vol 14 (1) ◽

pp. 62-88 ◽

Author(s):

J.G.G. Yan

Keyword(s):

Reaction Diffusion ◽

Steady States ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Spatially Periodic ◽

Coupled Reaction

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Coupled Reaction-Diffusion Equations

The Annals of Probability ◽

10.1214/aop/1176990535 ◽

1991 ◽

Vol 19 (1) ◽

pp. 29-57 ◽

Author(s):

Mark Freidlin

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Coupled Reaction

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Optimal boundary control of a system of reaction diffusion equations

ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik ◽

10.1002/zamm.200900359 ◽

2010 ◽

Vol 90 (12) ◽

pp. 966-982 ◽

Author(s):

W. Barthel ◽

C. John ◽

F. Tröltzsch

Keyword(s):

Boundary Control ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Optimal Boundary ◽

Optimal Boundary Control

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Analysis of coupled reaction–diffusion equations for RNA interactions

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2014.12.028 ◽

2015 ◽

Vol 425 (1) ◽

pp. 212-233 ◽

Author(s):

Maryann E. Hohn ◽

Bo Li ◽

Weihua Yang

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Coupled Reaction

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Series solution of nonlinear coupled reaction-diffusion equations

Journal of Physics A General Physics ◽

10.1088/0305-4470/24/23/016 ◽

1991 ◽

Vol 24 (23) ◽

pp. 5499-5503 ◽

Author(s):

W Malfliet

Keyword(s):

Series Solution ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Coupled Reaction

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A Linearized Spectral-Galerkin Method for Three-Dimensional Riesz-Like Space Fractional Nonlinear Coupled Reaction-Diffusion Equations

Numerical Mathematics Theory Methods and Applications ◽

10.4208/nmtma.oa-2020-0093 ◽

2021 ◽

Vol 14 (3) ◽

pp. 738-772

Author(s):

Shimin Guo

Keyword(s):

Galerkin Method ◽

Three Dimensional ◽

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Spectral Galerkin Method ◽

Coupled Reaction

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Boundary prescribed–time stabilization of a pair of coupled reaction–diffusion equations

2020 American Control Conference (ACC) ◽

10.23919/acc45564.2020.9147282 ◽

2020 ◽

Author(s):

Drew Steeves ◽

Leobardo Camacho-Solorio ◽

Miroslav Krstic

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Equations ◽

Diffusion Equations ◽

Coupled Reaction

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