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On the global well-posedness of discrete Boltzmann systems with chemical reaction

TítuloOn the global well-posedness of discrete Boltzmann systems with chemical reaction
Publication TypeUnpublished
Year of Publication2005
AuthorsOliveira F, Soares AJ
Series TitlePreprint
AbstractWe 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 ε B^1+∩L_1.
URLhttp://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2005/12_05.pdf