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  1. Journal of Mathematical Fluid Mechanics
  2. Journal of Mathematical Fluid Mechanics : Volume 9
  3. Journal of Mathematical Fluid Mechanics : Volume 9, Issue 4, December 2007
  4. A New Derivation of Jeffery’s Equation
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Journal of Mathematical Fluid Mechanics : Volume 19
Journal of Mathematical Fluid Mechanics : Volume 18
Journal of Mathematical Fluid Mechanics : Volume 17
Journal of Mathematical Fluid Mechanics : Volume 16
Journal of Mathematical Fluid Mechanics : Volume 15
Journal of Mathematical Fluid Mechanics : Volume 14
Journal of Mathematical Fluid Mechanics : Volume 13
Journal of Mathematical Fluid Mechanics : Volume 12
Journal of Mathematical Fluid Mechanics : Volume 11
Journal of Mathematical Fluid Mechanics : Volume 10
Journal of Mathematical Fluid Mechanics : Volume 9
Journal of Mathematical Fluid Mechanics : Volume 9, Issue 4, December 2007
A New Derivation of Jeffery’s Equation
Fundamental Solutions of Stokes and Oseen Problem in Two Spatial Dimensions
Vorticity and Regularity for Viscous Incompressible Flows under the Dirichlet Boundary Condition. Results and Related Open Problems
On the Time Decay of the Solutions of the Navier–Stokes System
A Remark on L ∞ Solutions to the 2-D Navier–Stokes Equations
Local Existence and Finite-time Blow-up in Multidimensional Radiation Hydrodynamics
Fast Decays of Strong Global Solutions of the Navier–Stokes Equations
Existence of a Solution “in the Large” for Ocean Dynamics Equations
Journal of Mathematical Fluid Mechanics : Volume 9, Issue 3, August 2007
Journal of Mathematical Fluid Mechanics : Volume 9, Issue 2, June 2007
Journal of Mathematical Fluid Mechanics : Volume 9, Issue 1, March 2007
Journal of Mathematical Fluid Mechanics : Volume 8
Journal of Mathematical Fluid Mechanics : Volume 7
Journal of Mathematical Fluid Mechanics : Volume 6
Journal of Mathematical Fluid Mechanics : Volume 5
Journal of Mathematical Fluid Mechanics : Volume 4
Journal of Mathematical Fluid Mechanics : Volume 3
Journal of Mathematical Fluid Mechanics : Volume 2
Journal of Mathematical Fluid Mechanics : Volume 1

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A New Derivation of Jeffery’s Equation

Content Provider SpringerLink
Author Illner, Reinhard Junk, Michael
Copyright Year 2006
Abstract In this article, we present a modern derivation of Jeffery’s equation for the motion of a small rigid body immersed in a Navier–Stokes flow, using methods of asymptotic analysis. While Jeffery’s result represents the leading order equations of a singularly perturbed flow problem involving ellipsoidal bodies, our formulation is for bodies of general shape and we also derive the equations of the next relevant order.
Ending Page 488
Page Count 34
Starting Page 455
File Format PDF
ISSN 14226928
e-ISSN 14226952
Journal Journal of Mathematical Fluid Mechanics
Issue Number 4
Volume Number 9
Language English
Publisher SP Birkhäuser Verlag Basel
Publisher Date 2006-09-06
Publisher Place Basel
Access Restriction One Nation One Subscription (ONOS)
Subject Keyword Mechanics, Fluids, Thermodynamics Mathematical Methods in Physics Fluids small immersed rigid body asymptotic analysis Jeffery’s equation Asymptotic approximations, asymptotic expansions (steepest descent, etc.) Navier-Stokes equations
Content Type Text
Resource Type Article
Subject Applied Mathematics Mathematical Physics Condensed Matter Physics Computational Mathematics
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