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Vorticity and the mathematical theory of incompressible fluid flow. (English) Zbl 0595.76021
The problems associated with vortex dynamics and high Reynolds number incompressible fluid flow are certainly of intense scientific interest with numerous applications ranging from accurate prediction of hurricane paths to efficient design of internal combustion engines to control of the hazardous large vortices shed by landing jumbo jets - the mechanisms responsible for the phenomena in these problems remain poorly understood.
The paper reports on recent and ongoing work in the theory of vortex dynamics in high Reynolds number and inviscid incompressible fluid flow with an emphasis on the interaction of ideas from numerical, asymptotic, and qualitative modelling as well as rigorous proofs for prototype problems. Besides being a report, a new consistent point of view on the topic will be presented, several results from ongoing research will be stated, and a few new proofs will be given.

76B47 Vortex flows for incompressible inviscid fluids
76Bxx Incompressible inviscid fluids
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