FRINK Linked Data Fragments server

Matches in SemOpenAlex for { <https://semopenalex.org/work/W1551900636> ?p ?o ?g. }

• W1551900636 endingPage "511" @default.
• W1551900636 startingPage "511" @default.
• W1551900636 abstract "Semi-analytical solutions for a cubic autocatalytic reaction, with linear decay and a precursor chemical, are considered. The model is coupled with diffusion and considered in a one-dimensional reactor. In this model the reactant is supplied by two mechanisms, diffusion via the cell boundaries and decay of an abundant precursor chemical present in the reactor. The Galerkin method is used to approximate the spatial structure of the reactant and autocatalyst concentrations in the reactor. Ordinary differential equations are then obtained as an approximation to the governing partial differential equations and analyzed to obtain semi-analytical results for the reaction-diffusion cell. Singularity theory and a local stability analysis are used to determine the regions of parameter space in which the different types of bifurcation diagrams and Hopf bifurcations occur. The effect of the precursor chemical concentration is examined in detail and some novel behaviours are identified. References P. Gray and S. K. Scott. Chemical oscillations and instabilities: nonlinear chemical kinetics. Oxford University Press, London, 1990. P. Gray and S. K. Scott. Autocatalytic reactions in the isothermal continuous, stirred tank reactor: isolas and other forms of multistability. Chem. Engng. Sci., 38:29--43, 1983. doi:10.1016/0009-2509(83)80132-8 P. Gray and S. K. Scott. Autocatalytic reactions in the isothermal continuous, stirred tank reactor: oscillations and instabilities in the system $a + 2b to 3b$; $b to c$. Chem. Engng. Sci., 39:1087--1097, 1984. doi:10.1016/0009-2509(84)87017-7 S. R. Kay, S. K. Scott, and P. G. Lignola. The application of singularity theory to isothermal autocatalytic reactions: the influence of uncatalysed reactions. Proc. Roy. Soc. Lond A, 409:433--448, 1987. doi:10.1098/rspa.1986.0015 S. K. Scott. Isolas, mushrooms and oscillations in isothermal, autocatalytic reaction-diffusion equations. Chem. Engng. Sci., 42:307--315, 1987. doi:10.1016/0009-2509(87)85060-1 S. R. Kay and S. K. Scott. Multiple stationary states, sustained oscillations and transient behavior in autocatalytic reaction-diffusion equations. Proc. Roy. Soc. Lond A, 418:345--364, 1988. doi:10.1098/rspa.1988.0088 J. H. Merkin, D. J. Needham, and S. K. Scott. On the creation, growth and extinction of oscillatory solutions for a simple pooled chemical reaction scheme. SIAM Journal on Applied Mathematics, 47:1040--1060, 1987. http://www.jstor.org/stable/2101706 T. R. Marchant. Cubic autocatalytic reaction-diffusion equations: semi-analytical solutions. Proc. Roy. Soc. Lond A, 458:873--888, 2002. doi:10.1098/rspa.2001.0899 V. Balakotaiah and D. Luss. Multiplicity features of reacting systems. Chem. Engng. Sci., 38:1709--1721, 1983. doi:10.1016/0009-2509(83)85028-3 J. Guckenheimer and P. Holmes. Nonlinear oscillations, dynamical systems, and bifurcations of vector fields. Springer-Verlag, New York, 1983. M. Golubitsky and D. G. Schaeffer. Singularites and groups in bifurcation theory. Springer-Verlag, New York, 1985." @default.
• W1551900636 created "2016-06-24" @default.
• W1551900636 creator A5045023161 @default.
• W1551900636 creator A5067463281 @default.
• W1551900636 creator A5079404468 @default.
• W1551900636 date "2012-09-01" @default.
• W1551900636 modified "2023-09-22" @default.
• W1551900636 title "Semi-analytical solutions for cubic autocatalytic reaction-diffusion equations; the effect of a precursor chemical" @default.
• W1551900636 cites W1572693696 @default.
• W1551900636 cites W1592415565 @default.
• W1551900636 cites W2014895820 @default.
• W1551900636 cites W2019889041 @default.
• W1551900636 cites W2075203550 @default.
• W1551900636 cites W2078246727 @default.
• W1551900636 cites W2082395037 @default.
• W1551900636 cites W2089876099 @default.
• W1551900636 cites W2103222044 @default.
• W1551900636 doi "https://doi.org/10.21914/anziamj.v53i0.5340" @default.
• W1551900636 hasPublicationYear "2012" @default.
• W1551900636 type Work @default.
• W1551900636 sameAs 1551900636 @default.
• W1551900636 citedByCount "2" @default.
• W1551900636 countsByYear W15519006362021 @default.
• W1551900636 crossrefType "journal-article" @default.
• W1551900636 hasAuthorship W1551900636A5045023161 @default.
• W1551900636 hasAuthorship W1551900636A5067463281 @default.
• W1551900636 hasAuthorship W1551900636A5079404468 @default.
• W1551900636 hasBestOaLocation W15519006361 @default.
• W1551900636 hasConcept C108213311 @default.
• W1551900636 hasConcept C121231716 @default.
• W1551900636 hasConcept C121332964 @default.
• W1551900636 hasConcept C121864883 @default.
• W1551900636 hasConcept C133347239 @default.
• W1551900636 hasConcept C147789679 @default.
• W1551900636 hasConcept C158622935 @default.
• W1551900636 hasConcept C161790260 @default.
• W1551900636 hasConcept C172435161 @default.
• W1551900636 hasConcept C177801218 @default.
• W1551900636 hasConcept C178790620 @default.
• W1551900636 hasConcept C185592680 @default.
• W1551900636 hasConcept C2776966350 @default.
• W1551900636 hasConcept C2781349735 @default.
• W1551900636 hasConcept C37263863 @default.
• W1551900636 hasConcept C62520636 @default.
• W1551900636 hasConcept C67334161 @default.
• W1551900636 hasConcept C69357855 @default.
• W1551900636 hasConcept C95514000 @default.
• W1551900636 hasConcept C97355855 @default.
• W1551900636 hasConceptScore W1551900636C108213311 @default.
• W1551900636 hasConceptScore W1551900636C121231716 @default.
• W1551900636 hasConceptScore W1551900636C121332964 @default.
• W1551900636 hasConceptScore W1551900636C121864883 @default.
• W1551900636 hasConceptScore W1551900636C133347239 @default.
• W1551900636 hasConceptScore W1551900636C147789679 @default.
• W1551900636 hasConceptScore W1551900636C158622935 @default.
• W1551900636 hasConceptScore W1551900636C161790260 @default.
• W1551900636 hasConceptScore W1551900636C172435161 @default.
• W1551900636 hasConceptScore W1551900636C177801218 @default.
• W1551900636 hasConceptScore W1551900636C178790620 @default.
• W1551900636 hasConceptScore W1551900636C185592680 @default.
• W1551900636 hasConceptScore W1551900636C2776966350 @default.
• W1551900636 hasConceptScore W1551900636C2781349735 @default.
• W1551900636 hasConceptScore W1551900636C37263863 @default.
• W1551900636 hasConceptScore W1551900636C62520636 @default.
• W1551900636 hasConceptScore W1551900636C67334161 @default.
• W1551900636 hasConceptScore W1551900636C69357855 @default.
• W1551900636 hasConceptScore W1551900636C95514000 @default.
• W1551900636 hasConceptScore W1551900636C97355855 @default.
• W1551900636 hasLocation W15519006361 @default.
• W1551900636 hasLocation W15519006362 @default.
• W1551900636 hasOpenAccess W1551900636 @default.
• W1551900636 hasPrimaryLocation W15519006361 @default.
• W1551900636 hasRelatedWork W163081470 @default.
• W1551900636 hasRelatedWork W1984547101 @default.
• W1551900636 hasRelatedWork W1993301536 @default.
• W1551900636 hasRelatedWork W2042005520 @default.
• W1551900636 hasRelatedWork W2044915098 @default.
• W1551900636 hasRelatedWork W2050673676 @default.
• W1551900636 hasRelatedWork W2095577471 @default.
• W1551900636 hasRelatedWork W2099313121 @default.
• W1551900636 hasRelatedWork W2388672739 @default.
• W1551900636 hasRelatedWork W563127568 @default.
• W1551900636 hasVolume "53" @default.
• W1551900636 isParatext "false" @default.
• W1551900636 isRetracted "false" @default.
• W1551900636 magId "1551900636" @default.
• W1551900636 workType "article" @default.