期刊
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
卷 30, 期 1-3, 页码 225-243出版社
TAYLOR & FRANCIS INC
DOI: 10.1081/PDE-200044488
关键词
3D Euler equations; finite time blow-up; geometric properties; global existence
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 3D Euler equation under mild assumptions.
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