Geodesic
Monotone solutions of a nonautonomous differential equation for a sedimenting sphere
Electronic journal of differential equations, Tome 2001 (2001)
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.
Classification : 34C60, 34D05, 76D03
Keywords: sedimenting sphere, unsteady Stokes flow, nonautonomous ordinary differential equations, monotone solutions 
@article{EJDE_2001__2001__a50,
     author = {Belmonte,  Andrew and Jacobsen,  Jon and Jayaraman,  Anandhan},
     title = {Monotone solutions of a nonautonomous differential equation for a sedimenting sphere},
     journal = {Electronic journal of differential equations},
     year = {2001},
     volume = {2001},
     zbl = {1054.76029},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a50/}
}
TY  - JOUR
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AU  - Jacobsen,  Jon
AU  - Jayaraman,  Anandhan
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PY  - 2001
VL  - 2001
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%0 Journal Article
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%A Jacobsen,  Jon
%A Jayaraman,  Anandhan
%T Monotone solutions of a nonautonomous differential equation for a sedimenting sphere
%J Electronic journal of differential equations
%D 2001
%V 2001
%U http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a50/
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%F EJDE_2001__2001__a50
Belmonte,  Andrew; Jacobsen,  Jon; Jayaraman,  Anandhan. Monotone solutions of a nonautonomous differential equation for a sedimenting sphere. Electronic journal of differential equations, Tome 2001 (2001). http://geodesic.mathdoc.fr/item/EJDE_2001__2001__a50/