Monotone Solutions of a Nonautonomous Differential Equation for a Sedimenting Sphere

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dc.contributor.authorBelmonte, Andrew
dc.contributor.authorJacobsen, Jon
dc.contributor.authorJayaraman, Anandhan
dc.date.accessioned2020-01-08T19:48:48Z
dc.date.available2020-01-08T19:48:48Z
dc.date.issued2001-09-24
dc.description.abstractWe 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.description.departmentMathematics
dc.formatText
dc.format.extent17 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationBelmonte, A., Jacobsen, J., & Jayaraman, A. (2001). Monotone solutions of a nonautonomous differential equation for a sedimenting sphere. <i>Electronic Journal of Differential Equations, 2001</i>(62), pp. 1-17.
dc.identifier.issn1072-6691
dc.identifier.urihttps://hdl.handle.net/10877/9162
dc.language.isoen
dc.publisherSouthwest Texas State University, Department of Mathematics
dc.rightsAttribution 4.0 International
dc.rights.urihttps://creativecommons.org/licenses/by/4.0/
dc.sourceElectronic Journal of Differential Equations, 2001, San Marcos, Texas: Southwest Texas State University and University of North Texas.
dc.subjectSedimenting sphere
dc.subjectUnsteady Stokes flow
dc.subjectNonautonomous ordinary differential equations
dc.subjectMonotone solutions
dc.titleMonotone Solutions of a Nonautonomous Differential Equation for a Sedimenting Sphere
dc.typeArticle

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