caa a22 4500 475839773 CHVBK 20180406123858.0 cr unu---uuuuu 170329e20001001xx s 000 0 eng 10.1023/A:1004799200173 doi (NATIONALLICENCE)springer-10.1023/A:1004799200173 Creation of spatial structure by an electric field applied to an ionic cubic autocatalator system [Elektronische Daten] [A.B. Finlayson, J.H. Merkin] The effects of applying electric fields to a reactor with kinetics based on an ionic version of the cubic autocatalator are considered. Three types of boundary condition are treated, namely (constant) prescribed concentration, zero flux and periodic. A linear stability analysis is undertaken and this reveals that the conditions for bifurcation from the spatially uniform state are the same for both the prescribed concentration and zero-flux boundary conditions, suggesting bifurcation to steady structures, whereas, for periodic boundary conditions, the bifurcation is essentially different, being of the Hopf type, leading to travelling-wave structures. The various predictions from linear theory are confirmed through extensive numerical simulations of the initial-value problem and by determining solutions to the (non-linear) steady state equations. These reveal, for both prescribed concentration and zero-flux boundary conditions, that applying an electric field can change the basic pattern form, give rise to spatial structure where none would arise without the field, can give multistability and can, if sufficiently strong, suppress spatial structure entirely. For periodic boundary conditions, only travelling waves are found, their speed of propagation and wavelength increasing with increasing field strength, and are found to form no matter how strong the applied field. Kluwer Academic Publishers, 2000 reaction-diffusion systems nationallicence ionic systems nationallicence electric-field effects nationallicence spatial structure nationallicence Turing bifurcations nationallicence cubic autocatalator nationallicence Finlayson A.B. Department of Applied Mathematics, University of Leeds, LS2 9JT, Leeds, UK aut Merkin J.H. Department of Applied Mathematics, University of Leeds, LS2 9JT, Leeds, UK aut Journal of Engineering Mathematics Kluwer Academic Publishers 38/3(2000-10-01), 279-296 0022-0833 38:3<279 2000 38 10665 https://doi.org/10.1023/A:1004799200173 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1023/A:1004799200173 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Finlayson A.B. Department of Applied Mathematics, University of Leeds, LS2 9JT, Leeds, UK aut NATIONALLICENCE 700 1- Merkin J.H. Department of Applied Mathematics, University of Leeds, LS2 9JT, Leeds, UK aut NATIONALLICENCE 773 0- Journal of Engineering Mathematics Kluwer Academic Publishers 38/3(2000-10-01), 279-296 0022-0833 38:3<279 2000 38 10665 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer