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Comparison Results for Reaction-Diffusion Equations in a Banach Space

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Comparison Results for Reaction-Diffusion Equations in a Banach Space

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dc.contributor.author Lakshmikantham, V. en
dc.date.accessioned 2010-06-01T19:10:01Z en
dc.date.available 2010-06-01T19:10:01Z en
dc.date.issued 1979-06 en
dc.identifier.uri http://hdl.handle.net/10106/2215 en
dc.description.abstract Let T be the temperature and n the concentration of a combustible substance. A simple model governing the combustion of the material is given by [see pdf for notations] (1.1) where the constant Q is the heat of reaction; the constants Kl , K2 are thermal, material diffusion coefficients; the term exp(-E/RT) is the Arrenhius rate factor; E is the activation energy; and R is the univeral gas constant. Equations (1.1) are considered on a bounded domain ^ with the boundary conditions [see pdf for notations] (1.2) together with initial conditions [see pdf for notations] (1.3) under the assumption T0(x) ^ To . Here ^ denotes an outward normal. A discussion of the derivation of the general equations of chemical kinetics may be found in the books by Gavalas [27] and Frank-Kamenetzky [25]. The particular model (1.1) to (1.3) is discussed by Gelfand [26] and Sattinger [46]. See also Hlavacek and Hofmann 128]. en
dc.language.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;94 en
dc.subject Differential equations en
dc.subject Ecological systems en
dc.subject Comparison theorems en
dc.subject Banach spaces en
dc.subject.lcsh Mathematics Research en
dc.title Comparison Results for Reaction-Diffusion Equations in a Banach Space en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

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