ISSN:
0044-2275
Keywords:
Key words. Fluid dynamics, free boundary problem, convex vorticity localization, Batchelor flow.
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
,
Physics
Notes:
Abstract. Under reasonably general assumptions, we prove the existence of convex classical solutions for the Prandtl-Batchelor free boundary problem in fluid dynamics, in which a flow of constant vorticity density is embedded in a potential flow, with a vortex sheet of constant vorticity density as the flow interface. These results apply to Batchelor flows which are confined to a bounded, convex vessel, and for which the limiting interior flow-speed exceeds the limiting exterior flow-speed along the interface.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/s000330050080
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