Monotone Solutions of a Nonautonomous Differential Equation for a Sedimenting Sphere

Authors

Andrew Belmonte, Pennsylvania State University - Main Campus
Jon T. Jacobsen, Harvey Mudd CollegeFollow
Anandhan Jayaraman, Pennsylvania State University - Main Campus

Document Type

Article

Department

Mathematics (HMC)

Publication Date

9-2001

Abstract

We study a class of integrodifferential equations and related ordinary differential equations for the initial value problem of a rigid sphere falling through an infinite fluid medium. We prove that for creeping Newtonian flow, the motion of the sphere is monotone in its approach to the steady state solution given by the Stokes drag. We discuss this property in terms of a general nonautonomous second order differential equation, focusing on a decaying nonautonomous term motivated by the sedimenting sphere problem

Comments

This article is also available from the Electronic Journal of Differential Equations at http://ejde.math.txstate.edu/Volumes/2001/62/abstr.html.

Rights Information

© 2001 Southwest Texas State University

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Recommended Citation

A. Belmonte, J. Jacobsen and A. Jayaraman. "Monotone Solutions of a Nonautonomous Differential Equation for a Sedimenting Sphere," Electron. J. Diff. Eqns., Vol. 2001(2001), No. 62, pp. 1-17.