Eugene C. Eckstein, Jerome A. Goldstein, & Mark Leggas
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
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Eugene C. Eckstein School of Biomedical Engineering, University of Tennessee 899 Madison Avenue, Suite 801 Memphis, TN 38163, USA e-mail: eeckstein@utmem.edu |
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Jerome A. Goldstein Department of Mathematical Sciences University of Memphis Memphis, TN 38152, USA e-mail: goldstej@msci.memphis.edu |
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Mark Leggas UM/UT Joint Graduate Program in Biomedical Engineering SBME, UT Memphis 899 Madison Avenue, Suite 801 Memphis, TN 38163, USA e-mail: mleggas@bme.utmem.edu |
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