Asymptotic Behavior of Solutions to a Model for the Flow of a Reacting Fluid

作者：Hoff David^*

来源：Archive for Rational Mechanics and Analysis, 2010, 196(3): 951-979.

DOI：10.1007/s00205-009-0260-7

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.

• 出版日期2010-6