Mathematics – Analysis of PDEs
Scientific paper
2003-02-06
Mathematics
Analysis of PDEs
34 pages
Scientific paper
This article concerns the equations of motion of perfect incompressible
fluids in a 3-D, smooth, bounded, simply connected domain. We suppose that the
curl of the initial velocity field is a vortex patch, and examine the classical
problems of the existence of a solution, either locally or globally in time,
and of the persistence of the initial regularity.
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