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On the global well‐posedness of discrete Boltzmann systems with chemical reaction
Author(s) -
Oliveira Filipe,
Soares A. J.
Publication year - 2005
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.631
Subject(s) - boltzmann equation , mathematics , boltzmann constant , dimension (graph theory) , space (punctuation) , boundary value problem , diatomic molecule , mathematical analysis , initial value problem , mathematical physics , pure mathematics , physics , thermodynamics , computer science , quantum mechanics , molecule , operating system
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 ∈ℬ + 1 ∩ L 1 . Copyright © 2005 John Wiley & Sons, Ltd.