The entropy method for reaction-diffusion systems without detailed balance: First order chemical reaction networks

Klemens Fellner;  ; Wolfang Prager; Bao Q. Tang

doi:10.3934/krm.2017042

The entropy method for reaction-diffusion systems without detailed balance: First order chemical reaction networks

Kinetic and Related Models ◽

10.3934/krm.2017042 ◽

2017 ◽

Vol 10 (4) ◽

pp. 1055-1087 ◽

Cited By ~ 11

Author(s):

Klemens Fellner ◽

◽

Wolfang Prager ◽

Bao Q. Tang

Keyword(s):

Chemical Reaction ◽

Detailed Balance ◽

Reaction Diffusion ◽

Entropy Method ◽

Reaction Networks ◽

Reaction Diffusion Systems ◽

First Order ◽

Diffusion Systems ◽

Order Chemical Reaction ◽

First Order Chemical Reaction

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On the Input-Output Relationship for Molecular Communications in General First-Order Chemical Reaction-Diffusion Systems

Proceedings of the Sixth Annual ACM International Conference on Nanoscale Computing and Communication - NANOCOM '19 ◽

10.1145/3345312.3345477 ◽

2019 ◽

Author(s):

Malcolm Egan ◽

Bao Quoc Tang ◽

Bayram Cevdet Akdeniz

Keyword(s):

Chemical Reaction ◽

Reaction Diffusion ◽

Input Output ◽

Reaction Diffusion Systems ◽

First Order ◽

Diffusion Systems ◽

Order Chemical Reaction ◽

First Order Chemical Reaction

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First-order chemical reaction networks I: theoretical considerations

Journal of Mathematical Chemistry ◽

10.1007/s10910-016-0655-2 ◽

2016 ◽

Vol 54 (9) ◽

pp. 1863-1878 ◽

Cited By ~ 3

Author(s):

Roland Tóbiás ◽

László L. Stacho ◽

Gyula Tasi

Keyword(s):

Chemical Reaction ◽

Chemical Reaction Networks ◽

Reaction Networks ◽

First Order ◽

Order Chemical Reaction ◽

First Order Chemical Reaction ◽

Theoretical Considerations

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Trend to Equilibrium for Reaction-Diffusion Systems Arising from Complex Balanced Chemical Reaction Networks

SIAM Journal on Mathematical Analysis ◽

10.1137/16m1073935 ◽

2017 ◽

Vol 49 (4) ◽

pp. 2666-2709 ◽

Cited By ~ 20

Author(s):

Laurent Desvillettes ◽

Klemens Fellner ◽

Bao Quoc Tang

Keyword(s):

Chemical Reaction ◽

Reaction Diffusion ◽

Chemical Reaction Networks ◽

Reaction Networks ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Interfacial mass transfer in turbulent flow accompanied by irreversible first order chemical reaction

Collection of Czechoslovak Chemical Communications ◽

10.1135/cccc19791388 ◽

1979 ◽

Vol 44 (5) ◽

pp. 1388-1396

Author(s):

Václav Kolář ◽

Zdeněk Brož

Keyword(s):

Mass Transfer ◽

Turbulent Flow ◽

Chemical Reaction ◽

Experimental Results ◽

Theoretical Concepts ◽

First Order ◽

Order Chemical Reaction ◽

Interfacial Mass Transfer ◽

First Order Chemical Reaction

Relations describing the mass transfer accompanied by an irreversible first order chemical reaction are derived, based on the formerly published general theoretical concepts of interfacial mass transfer. These relations are compared with experimental results taken from literature.

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Exact analytical solution of a convective diffusion from a wedge to a flow with a first order chemical reaction at the surface

International Communications in Heat and Mass Transfer ◽

10.1016/0735-1933(94)90021-3 ◽

1994 ◽

Vol 21 (2) ◽

pp. 227-235 ◽

Cited By ~ 11

Author(s):

T. Elperin ◽

A. Fominykh

Keyword(s):

Analytical Solution ◽

Chemical Reaction ◽

Convective Diffusion ◽

Exact Analytical Solution ◽

First Order ◽

Order Chemical Reaction ◽

First Order Chemical Reaction

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Theoretical analysis of absorption-desorption with first-order chemical reaction in a fan-shaped sheet

The Chemical Engineering Journal ◽

10.1016/0300-9467(72)80023-6 ◽

1972 ◽

Vol 4 (3) ◽

pp. 262-267

Author(s):

Abraham Tamir

Keyword(s):

Theoretical Analysis ◽

Chemical Reaction ◽

First Order ◽

Order Chemical Reaction ◽

First Order Chemical Reaction

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Asymptotic behavior of solutions to chemical reaction–diffusion systems

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.01.022 ◽

2017 ◽

Vol 450 (1) ◽

pp. 152-168 ◽

Cited By ~ 12

Author(s):

Michel Pierre ◽

Takashi Suzuki ◽

Rong Zou

Keyword(s):

Asymptotic Behavior ◽

Chemical Reaction ◽

Reaction Diffusion ◽

Asymptotic Behavior Of Solutions ◽

Reaction Diffusion Systems ◽

Diffusion Systems

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Turbulent mass transfer with a first-order chemical reaction on a wall at pr ⪢ 1

International Journal of Heat and Mass Transfer ◽

10.1016/0017-9310(77)90030-8 ◽

1977 ◽

Vol 20 (12) ◽

pp. 1339-1350 ◽

Cited By ~ 6

Author(s):

B.A. Kader ◽

A.A. Gukhman

Keyword(s):

Mass Transfer ◽

Chemical Reaction ◽

First Order ◽

Order Chemical Reaction ◽

First Order Chemical Reaction ◽

Turbulent Mass Transfer

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Dispersion of soluble matter in a channel flow with first-order chemical reaction

International Communications in Heat and Mass Transfer ◽

10.1016/0735-1933(76)90022-1 ◽

1976 ◽

Vol 3 (3) ◽

pp. 255-256

Author(s):

M Mikhailov

Keyword(s):

Channel Flow ◽

Chemical Reaction ◽

First Order ◽

Order Chemical Reaction ◽

First Order Chemical Reaction

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Application of the fractional derivatives method to bubble growth/dissolution processes with or without first-order chemical reaction

AIChE Journal ◽

10.1002/aic.690311012 ◽

1985 ◽

Vol 31 (10) ◽

pp. 1695-1706 ◽

Cited By ~ 3

Author(s):

Juan Hong ◽

H. S. Woo

Keyword(s):

Chemical Reaction ◽

Bubble Growth ◽

Fractional Derivatives ◽

First Order ◽

Order Chemical Reaction ◽

First Order Chemical Reaction

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