The asymptotic equivalence of the Broadwell model equation and its Navier-Stokes model equation
Author:
Affiliation:
1. DEPARTMENT OF APPLIED MATHEMATICS AND PHYSICS KYOTO UNIVERSITY
Publisher
Mathematical Society of Japan (JST)
Subject
General Mathematics
Link
https://www.jstage.jst.go.jp/article/math1924/7/1/7_1_1/_pdf
Reference16 articles.
1. [1] J. E. Broadwell, Shock structure in a simple discrete velocity gas, Phys. Fluids, 7 (1964), 1243-1247.
2. [2] R. E. Caflisch, The fluid dynamic limit and shocks for a model Boltzmann equation, Ph. D. thesis, New York University, 1978.
3. [3] S. Chapman and T. G. Cowling, The mathematical theory of non-uniform gases, Cambridge University Press, 3rd edition, London, 1970.
4. [4] R. S. Ellis and M. A. Pinsky, Limit theorems for model Boltzmann equations with several conserved quantities, Indiana Univ. Math. J., 23 (1973), 287-307.
5. [5] R. S. Ellis and M. A. Pinsky, Asymptotic equivalence of the linear Navier-Stokes and heat equations in one dimension, J. Differential Equations, 17 (1975), 406-420.
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