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math-ph2006★ 147 cited
Dynamic Depletion of Vortex Stretching and Non-Blowup of the 3-D Incompressible Euler Equations
Thomas Y. Hou, Ruo Li
We study the interplay between the local geometric properties and the non-blowup of the 3D incompressible Euler equations. We consider the interaction of two perturbed antiparallel…
math-ph2004★ 20 cited
Geometric properties and non-blowup of 3-D incompressible Euler flow
Jian Deng, Thomas Y. Hou, Xinwei Yu
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 an…