The mathematics of suspensions: Kac walks and asymptotic analyticity

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.

Keywords

• Suspensions
• telegraph equation
• Kac random walk
• semigroups of operators
• asymptotic analyticity
• Taylor dispersion
• furth-Ornstein-Taylor formula.