Published June 1998
| public
Journal Article
A Theory of Exact Solutions for Plane Viscous Blobs
- Creators
- Crowdy, D. G.
- Tanveer, S.
Abstract
We present a new general theory of exact solutions for a simply connected, plane, slow viscous fluid blob with surface tension. The formulation reveals the existence of an infinite number of conserved quantities associated with the exact solutions. This new theoretical approach simplifies the calculation of concrete solutions.
Additional Information
© 1998 Springer-Verlag New York. Received August 29, 1996; revised manuscript accepted October 3, 1997. Communicated by A. Fokas. D. G. Crowdy wishes to acknowledge advice and encouragement from Professor Philip Saffman, as well as partial support from the Department of Energy, Grant No. DE-FG03-89ER25073. S. Tanveer acknowledges support from the National Science Foundation, division of mathematical sciences. S. Tanveer also acknowledges useful discussions with Dr. F. R. Tian, in which Dr. Tian pointed out to S.T. the conserved quantities for the zero surface tension problem implicit in [8] before the present authors became aware of the paper by Cummings et al. [7].Additional details
- Eprint ID
- 75934
- Resolver ID
- CaltechAUTHORS:20170408-142323855
- DE-FG03-89ER25073
- Department of Energy (DOE)
- NSF
- Created
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2017-04-21Created from EPrint's datestamp field
- Updated
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2021-11-15Created from EPrint's last_modified field