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ON SOME MATHEMATICAL ASPECTS OF KINETIC MODEL EQUATIONS
LAWRENCE SIROVICH and JAMES K. THURBER
Quarterly of Applied Mathematics
Vol. 25, No. 2 (JULY, 1967), pp. 175-186
Published by: Brown University
Stable URL: http://www.jstor.org/stable/43635690
Page Count: 12
You can always find the topics here!Topics: Fourier transformations, Laplace transformation, Boltzmann equation, Mathematical constants, Kinetics, Kinetic theory, Uniqueness, Cauchy problem, Mathematical functions, Kinetic equations
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A class of integro-differential equations used in the kinetic theory of gases is investigated. The existence and uniqueness of solutions to the initial value problem associated with these equations is proved under relatively weak conditions. Under somewhat stronger assumptions the validity of the application of Fourier-Laplace transforms to this problem is demonstrated. Finally the asymptotic approach to hydrodynamics is shown.
Quarterly of Applied Mathematics © 1967 Brown University