Asymptotic Behavior of Solutions to a Model for the Flow of a Reacting Fluid |
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Authors: | David Hoff |
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Institution: | 1. Department of Mathematics, Indiana University, Bloomington, IN, 47405-5701, USA
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Abstract: | We give a complete analysis of solutions of a model for the flow of a multispecies reacting fluid occupying a thin cylinder
whose walls may be semipermeable with respect to some or all of the chemical species. We prove the global existence of solutions
and establish a number of time-independent a priori bounds sufficient to determine the corresponding time-asymptotic steady-state.
We then derive necessary conditions and sufficient conditions ensuring that this steady-state reflects complete combustion,
that is, that at least one of the reactant species is depleted. |
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Keywords: | |
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