"Stability of spatiotemporal patterns in a model of cross-flow reactor"@en . "We study spatiotemporal solutions of reaction-diffusion-convection systems. As an example, we take a catalytic cross-flow tubular reactor with an exothermic chemical reaction of first order. Such a system is described by two partial differential equations, which can be solved together with boundary conditions. Neumann or Danckwerts boundary conditions are used depending on whether convection is involved or not. Analysis of spatiotemporal patterns, is preceded with analysis of stability and bifurcations of steady state in corresponding homogeneous system. Information from this analysis is then used to prediction of occurrence of different types of spatiotemporal patterns in reaction-diffusion and also reaction-diffusion-convection system. Spatiotemporal patterns are obtained by numerical integration. Effects of convection velocity on development of certain specific solutions are investigated, by using both numerical and analytical methods. Examples of simple spatiotemporal patterns are pulse and front" . . "4"^^ . . "Pro studium \u010Dasoprostorov\u00FDch struktur reak\u010Dn\u011B-difuzn\u011B-konvek\u010Dn\u00EDch syst\u00E9m\u016F byl pou\u017Eit model trubkov\u00E9ho reaktoru s k\u0159\u00ED\u017Eov\u00FDm tokem, kter\u00FD je pops\u00E1n dv\u011Bma parci\u00E1ln\u00EDmi diferenci\u00E1ln\u00EDmi rovnicemi, opat\u0159en\u00FDmi okrajov\u00FDmi podm\u00EDnkami podle Danckwertse nebo Neumanna. Anal\u00FDze struktur p\u0159edch\u00E1z\u00ED anal\u00FDza stability a bifurkac\u00ED stacion\u00E1rn\u00EDho homogenn\u00EDho \u0159e\u0161en\u00ED, kter\u00E1 je pak pou\u017Eita k predikci vzniku nehomogenn\u00EDch struktur. Existence t\u011Bchto struktur je pak ov\u011B\u0159ov\u00E1na p\u0159\u00EDm\u00FDm numerick\u00FDm v\u00FDpo\u010Dtem. Byly zkoum\u00E1ny nap\u0159. Struktury typu pulsn\u00ED a frontov\u00E1 vlna, tam a zp\u011Bt se pohybuj\u00EDc\u00ED fronty (cik-cak struktury) a \u010Dasoprostorov\u00FD chaos."@cs . "587704" . "073(1-10)" . . "4"^^ . "Kohout, Martin" . . . "Tr\u00E1vn\u00ED\u010Dkov\u00E1, Tereza" . . "Stability of spatiotemporal patterns in a model of cross-flow reactor" . . . "RIV/60461373:22340/04:00011258" . . "Z(MSM 223400007)" . "Stability of spatiotemporal patterns in a model of cross-flow reactor"@en . "80-227-2052-6" . . "Schreiber, Igor" . "Stabilita \u010Dasoprostorov\u00FDch struktur v modelu reaktoru s k\u0159\u00ED\u017Eov\u00FDm tokem"@cs . . "RIV/60461373:22340/04:00011258!RIV/2005/MSM/223405/N" . "Stabilita \u010Dasoprostorov\u00FDch struktur v modelu reaktoru s k\u0159\u00ED\u017Eov\u00FDm tokem"@cs . "2004-05-24+02:00"^^ . . . . "Bratislava" . "[8E99161A99B8]" . . "10"^^ . "spatiotemporal chaos;zig-zag pattern;waves;reaction-diffusion-convection system"@en . "Tatransk\u00E9 Matliare" . "Proceeding of 31th International Conference of Chemical Engineering, Tatransk\u00E9 Matliare, Slovakia" . "Kub\u00ED\u010Dek, Milan" . . "22340" . . "Slovensk\u00E1 technick\u00E1 univerzita v Bratislave" . "We study spatiotemporal solutions of reaction-diffusion-convection systems. As an example, we take a catalytic cross-flow tubular reactor with an exothermic chemical reaction of first order. Such a system is described by two partial differential equations, which can be solved together with boundary conditions. Neumann or Danckwerts boundary conditions are used depending on whether convection is involved or not. Analysis of spatiotemporal patterns, is preceded with analysis of stability and bifurcations of steady state in corresponding homogeneous system. Information from this analysis is then used to prediction of occurrence of different types of spatiotemporal patterns in reaction-diffusion and also reaction-diffusion-convection system. Spatiotemporal patterns are obtained by numerical integration. Effects of convection velocity on development of certain specific solutions are investigated, by using both numerical and analytical methods. Examples of simple spatiotemporal patterns are pulse and front"@en . "Stability of spatiotemporal patterns in a model of cross-flow reactor" . . . .