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Initial‐boundary‐value problem for the Broadwell model of a gas mixture with bimolecular reaction
Author(s) -
Soares Ana Jacinta
Publication year - 1998
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/(sici)1099-1476(199804)21:6<501::aid-mma957>3.0.co;2-1
Subject(s) - uniqueness , mathematics , bounded function , banach space , boundary value problem , semigroup , space (punctuation) , initial value problem , dimension (graph theory) , mathematical analysis , pure mathematics , philosophy , linguistics
In this paper an initial‐boundary‐value problem in one‐space dimension is studied for the Broadwell model extended to a gas mixture undergoing bimolecular reactions. Techniques of semigroup of bounded positive operators in a suitable Banach space are used to prove existence and uniqueness of the solution on bounded time intervals whose length depends on the initial data. © 1998 B. G. Teubner Stuttgart–John Wiley & Sons Ltd.