Removing Type II Singularities Off the Axis for the Three Dimensional Axisymmetric Euler Equations

In this paper we obtain new local blow-up criterion for smooth axisymmetric solutions to the three dimensional incompressible Euler equation. If the vorticity satisfies ∫ 0 t ∗ ( t ∗ - t ) ‖ ω ( t ) ‖ L ∞ ( B ( x ∗ , R 0 ) ) d t < + ∞ for a ball B ( x ∗ , R 0 ) away from the axis of symmetry, the...

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Veröffentlicht in:	Archive for rational mechanics and analysis 2019-12, Vol.234 (3), p.1041-1089
Hauptverfasser:	Chae, Dongho, Wolf, Jörg
Format:	Artikel
Sprache:	eng
Schlagworte:	Classical Mechanics Complex Systems Economic models Euler-Lagrange equation Eulers equations Fluid- and Aerodynamics Mathematical and Computational Physics Physics Physics and Astronomy Singularity (mathematics) Theoretical Toruses Vorticity
Online-Zugang:	Volltext
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