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Incompressible Flows at High Reynolds Number >
Dongho Chae
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CSIC Building (#406),
Seminar Room 4122.
Directions: home.cscamm.umd.edu/directions
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Remarks on the blow-up criterion of the 3D incompressible Euler equations
Dr. Dongho Chae
Mathematics at Sungkyunkwan University
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Abstract:
In this talk we present a study of finite time blow-up criterion of classical
solutions of the 3-D homogeneous incompressible Euler equations. We find it is
controlled by the Besov space, $\dot{B}^0_{\infty, 1}$, norm of the it two
components of the vorticity. For the axisymmetric flows with swirl we deduce
that the blow-up of solution is controlled by the same Besov space norm of the
angular component of the vorticity.
[LECTURE SLIDES]
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