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TitleOn the global well-posedness of discrete Boltzmann systems with chemical reaction
Author(s)Oliveira, Filipe
Soares, A. J.
KeywordsDiscrete Boltzmann Equation
Chemically reacting gases
Hyperbolic PDEs
Issue dateAug-2005
PublisherJohn Wiley and Sons
JournalMathematical Methods in the Applied Sciences
Citation"Mathematical Methods in the Applied Science". ISSN 0170-4214. 28:12 (2005) 1491-1506.
Abstract(s)We study an initial-boundary value problem in one-space dimension for the discrete Boltzmann equation extended to a diatomic gas undergoing both elastic multiple collisions and chemical reactions. By integration of conservation equations, we prove a global existence result in the half-space for small initial data $\,N_0\in\,\mathcal{B}^1_+\cap L^1$.
DescriptionClassificação AMS: 76P05, 35A05, 35L50
Publisher version
AccessOpen access
Appears in Collections:CMAT - Artigos em revistas com arbitragem / Papers in peer review journals

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