Geometric properties and non-blowup of 3-D incompressible Euler flow

Details Geometric properties and non-blowup of 3-D incompressible Euler flow Geometric properties and non-blowup of 3-D incompressible Euler flow

2004-02-12

arxiv.org/abs/math-ph/0402032v1

Physics

Mathematical Physics

21 pages

Scientific paper

By exploring a local geometric property of the vorticity field along a vortex filament, we establish a sharp relationship between the geometric properties of the vorticity field and the maximum vortex stretching. This new understanding leads to an improved result of the global existence of the 3-D Euler equation under mild assumptions that are consistent with the observations from recent numerical computations.

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