Electronic Journal of Differential Equations,
Conference 03 (1999), pp. 39-50.
Title: The mathematics of suspensions: Kac walks and asymptotic analyticity
Authors: Eugene C. Eckstein (Univ. of Tennessee, Memphis, TN, USA)
Jerome A. Goldstein (Univ. of Memphis, Memphis, TN, USA)
Mark Leggas (Univ. of Tennessee, Memphis, TN, USA)
Abstract:
Of concern are suspension flows. These combine directed and random motions
and are typically modelled by parabolic partial differential equations.
Sometimes they can be better modelled (in terms of fitting the data
generated by certain blood flow experiments) by hyperbolic equations,
such as the telegraph equation, which have parabolic (or analytic)
asymptotics.
Published July 10, 2000.
Math Subject Classifications: 76T20, 76A99, 76D99, 76M22, 76M35, 76R50, 76Z99.
Key Words: Suspensions; telegraph equation; Kac random walk;
semigroups of operators; asymptotic analyticity; Taylor dispersion;
furth-Ornstein-Taylor formula.