caa a22 4500 465743277 CHVBK 20180323111813.0 cr unu---uuuuu 170327e19900701xx s 000 0 eng 10.1007/BF02697351 doi (NATIONALLICENCE)springer-10.1007/BF02697351 Dissipative structures in a reaction-diffusion system [Elektronische Daten] [Sang Kim, Sang Yeo] A transient analysis of reaction-diffusion equations associated with the model reaction of Prigogine and Lefever (Brusselator model), has been performed. For low system lengths and for fixed boundary conditions, steady state solutions with the low amplitude are unstable. For zero flux boundary conditions the multiplicity of symmetric solutions with the same wave number may exist and the majority of them are unstable. The diffusion of initial components induces relaxation oscillations in space for fixed as well as zero flux boundary conditions. The amplitude of the oscillations increases as the diffusion coefficient of the initial component decreases. For conditions of relaxation oscillations the spatial profiles result in single or multiple propagating fronts. High system lengths for both zero flux and periodic boundary conditions, may give rise to a multipeak incoherent wave pattern. For periodic boundary conditions the multiplicity of waves has been observed. Numerical simulation of two-dimensional spatial structures reveals the existence of certain similarities between the one- and two-dimensional cases. Korean Institute of Chemical Engineering, 1990 Kim Sang Department of Chemical Engineering, Konkuk University, 133-701, Seoul, Korea aut Yeo Sang Department of Chemical Engineering, Konkuk University, 133-701, Seoul, Korea aut Korean Journal of Chemical Engineering Springer-Verlag 7/3(1990-07-01), 188-197 0256-1115 7:3<188 1990 7 11814 https://doi.org/10.1007/BF02697351 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF02697351 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kim Sang Department of Chemical Engineering, Konkuk University, 133-701, Seoul, Korea aut NATIONALLICENCE 700 1- Yeo Sang Department of Chemical Engineering, Konkuk University, 133-701, Seoul, Korea aut NATIONALLICENCE 773 0- Korean Journal of Chemical Engineering Springer-Verlag 7/3(1990-07-01), 188-197 0256-1115 7:3<188 1990 7 11814 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer