On the global well‐posedness of discrete Boltzmann systems with chemical reaction | Zendy

Oliveira Filipe | Zendy; Soares A. J. | Zendy

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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.

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