Monotone Solutions of a Nonautonomous Differential Equation for a Sedimenting Sphere

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dc.creatorJacobsen, Jon
dc.creatorJayaraman, Anandhan
dc.creatorBelmonte, Andrew
dc.date2000-12-14
dc.date2002-05-24
dc.date.accessioned2026-07-07T04:28:12Z
dc.date.available2026-07-07T04:28:12Z
dc.descriptionWe 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.
dc.description17 pages, 2 figures. Fixed typographical errors, included an appendix to clarify the derivation
dc.identifierhttps://arxiv.org/abs/math-ph/0012027
dc.identifierhttp://arxiv.org/abs/math-ph/0012027
dc.identifierElectronic Journal of Differential Equations, Vol 2001(2001), No. 62, pp. 1-17
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56695
dc.subjectMathematical Physics
dc.subjectFluid Dynamics
dc.subject34C60; 34D05, 76D03
dc.titleMonotone Solutions of a Nonautonomous Differential Equation for a Sedimenting Sphere
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