Geometric properties and non-blowup of 3-D incompressible Euler flow
Mathematical Physics
2007-05-23 v1 math.MP
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 3-D Euler equation under mild assumptions that are consistent with the observations from recent numerical computations.
Keywords
Cite
@article{arxiv.math-ph/0402032,
title = {Geometric properties and non-blowup of 3-D incompressible Euler flow},
author = {Jian Deng and Thomas Y. Hou and Xinwei Yu},
journal= {arXiv preprint arXiv:math-ph/0402032},
year = {2007}
}
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21 pages