THE DISCRETE BOLTZMANN EQUATION: A REVIEW OF THE MATHEMATICAL ASPECTS OF THE INITIAL AND INITIAL-BOUNDARY VALUE PROBLEMS
1991 ◽
Vol 03
(02)
◽
pp. 137-162
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Keyword(s):
This paper provides a review of the various results available in the mathematical literature on the solution to the initial and initial-boundary value problem for the discrete Boltzmann equation, a nonlinear mathematical model of the kinetic theory of gases. References include papers published until 1990. The aim of this survey paper is to provide a detailed picture of the state of the art in the field and some necessary information for future research in the field.
1992 ◽
Vol 21
(1-2)
◽
pp. 39-68
◽
1969 ◽
Vol 1
(3)
◽
pp. 363-374
◽
1987 ◽
Vol 16
(4-6)
◽
pp. 735-761
◽
2008 ◽
Vol 192
(2)
◽
pp. 217-274
◽
1997 ◽
Vol 26
(7)
◽
pp. 813-825
◽
1971 ◽
Vol 5
(3)
◽
pp. 305-314
2008 ◽
pp. 165-178