A Theory of Exact Solutions for Annular Viscous Blobs |
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| Authors: | Crowdy D. Tanveer S. |
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| Affiliation: | (1) Applied Mathematics 217-50, California Institute of Technology, Pasadena, CA 91125, USA, US;(2) Department of Mathematics, Ohio State University, Columbus, OH 43210, USA, US;(3) Present address: Department of Mathematics, 2-336, MIT, 77 Massachusetts Avenue, Cambridge, MA 02139, USA, US |
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| Abstract: | Summary. A new theory of exact solutions is presented for the problem of the slow viscous Stokes flow of a plane, doubly connected annular viscous blob driven by surface tension. The formulation reveals the existence of an infinite number of conserved quantities associated with the flow for a certain general class of initial conditions. These conserved quantities are associated with a class of exact solutions. This work is believed to provide the first exact solutions for the evolution of a doubly connected fluid region evolving under Stokes flow with surface tension. Received December 19, 1996; revised September 22, 1997, and accepted October 13, 1997 |
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| Keywords: | . Stokes flow viscous drop conservation laws exact solutions |
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