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Geometric Properties and Nonblowup of 3D Incompressible Euler Flow

Geometric Properties and Nonblowup of 3D Incompressible Euler Flow

Abstract 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 …