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Large time behavior of the broadwell model of a discrete velocity gas with specularly reflective boundary conditions

โœ Scribed by M. Slemrod


Publisher
Springer
Year
1990
Tongue
English
Weight
896 KB
Volume
111
Category
Article
ISSN
0003-9527

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โœฆ Synopsis


This paper studies the behavior of the one dimensional Broadwell model of a discrete three velocity gas on a bounded domain 0 _~ x --~ 1 with specularly reflective boundary condition at x = 0, 1. For smooth initial data we show that the initial boundary value problem possesses a unique smooth solution which tends as t-+ oo to a free state consisting of traveling waves fle(X-et), f2e(X -t-Ct), f3e(X) where each f/e is 2-periodic. The convergence is in the weak* topology of an appropriate Orlicz-Banach "state" space. No smallness assumptions are made on the data.


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