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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 | **Please note that the full text is embargoed** 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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