Spatial correlations in reaction-diffusion systems in nonequilibrium conditions

Operating natural or artificial chemical systems requires nonequilibrium conditions at which temporal and spatial control of the process is realizable. Open reaction-diffusion systems provide a general way to create such...

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Singular limit of reaction–diffusion systems and modified motion by mean curvature

Proceedings of the Royal Society of Edinburgh Section A Mathematics ◽

10.1017/s030821050200046x ◽

2002 ◽

Vol 132 (04) ◽

pp. 951

Keyword(s):

Mean Curvature ◽

Reaction Diffusion ◽

Singular Limit ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Motion By Mean Curvature

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Waves and patterns in reaction diffusion systems. Belousov Zhabotinsky reaction in water-in-oil microemulsions

Uspekhi Fizicheskih Nauk ◽

10.3367/ufnr.0174.200409d.0991 ◽

2004 ◽

Vol 174 (9) ◽

pp. 991 ◽

Cited By ~ 13

Author(s):

Vladimir K. Vanag

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems ◽

Belousov Zhabotinsky Reaction ◽

Reaction In Water

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Self-propelled dynamics of deformable domain in excitable reaction diffusion systems

Nonlinear Dynamics in Partial Differential Equations ◽

10.2969/aspm/06410137 ◽

2019 ◽

Author(s):

Takao Ohta

Keyword(s):

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Classification of Traveling Wave Solutions of Reaction-Diffusion Systems.

10.21236/ada167101 ◽

1985 ◽

Cited By ~ 5

Author(s):

Konstantin Mischaikow

Keyword(s):

Traveling Wave ◽

Traveling Wave Solutions ◽

Reaction Diffusion ◽

Reaction Diffusion Systems ◽

Wave Solutions ◽

Diffusion Systems

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A second-order exponential time differencing scheme for non-linear reaction-diffusion systems with dimensional splitting

Journal of Computational Physics ◽

10.1016/j.jcp.2020.109490 ◽

2020 ◽

Vol 415 ◽

pp. 109490 ◽

Cited By ~ 1

Author(s):

E.O. Asante-Asamani ◽

A. Kleefeld ◽

B.A. Wade

Keyword(s):

Reaction Diffusion ◽

Second Order ◽

Exponential Time ◽

Reaction Diffusion Systems ◽

Exponential Time Differencing ◽

Diffusion Systems ◽

Dimensional Splitting ◽

Linear Reaction ◽

Non Linear

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Boundary stabilization of stochastic delay reaction-diffusion systems

2017 36th Chinese Control Conference (CCC) ◽

10.23919/chicc.2017.8027604 ◽

2017 ◽

Author(s):

Xiao-Zhen Liu ◽

Xiao-Hua Ding ◽

Kai-Ning Wu

Keyword(s):

Reaction Diffusion ◽

Boundary Stabilization ◽

Stochastic Delay ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Effect of Spatial Average on the Spatiotemporal Pattern Formation of Reaction-Diffusion Systems

Journal of Dynamics and Differential Equations ◽

10.1007/s10884-021-09995-z ◽

2021 ◽

Author(s):

Qingyan Shi ◽

Junping Shi ◽

Yongli Song

Keyword(s):

Pattern Formation ◽

Reaction Diffusion ◽

Spatiotemporal Pattern ◽

Spatial Average ◽

Reaction Diffusion Systems ◽

Spatiotemporal Pattern Formation ◽

Diffusion Systems

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Wavelength Selection by Interrupted Coarsening in Reaction-Diffusion Systems

Physical Review Letters ◽

10.1103/physrevlett.126.104101 ◽

2021 ◽

Vol 126 (10) ◽

Author(s):

Fridtjof Brauns ◽

Henrik Weyer ◽

Jacob Halatek ◽

Junghoon Yoon ◽

Erwin Frey

Keyword(s):

Reaction Diffusion ◽

Wavelength Selection ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Spatial correlations in reaction-diffusion systems in nonequilibrium conditions