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	Blowup or no blowup? The interplay between theory and numerics
	Hou, Thomas Y. ; Li, Ruo
	2008
关键词	finite time singularities 3D Euler equations spectral methods INCOMPRESSIBLE EULER EQUATIONS HIGH-SYMMETRY SINGULAR SOLUTIONS VORTEX TUBES RECONNECTION TURBULENCE
英文摘要	The question of whether the 3D incompressible Euler equations can develop a finite time singularity from smooth initial data has been an outstanding open problem in fluid dynamics and mathematics. Recent studies indicate that the local geometric regularity of vortex lines can lead to dynamic depletion of vortex stretching. Guided by the local non-blowup theory, we have performed large scale computations of the 3D Euler equations on some of the most promising blowup candidates. Our results show that there is tremendous dynamic depletion of vortex stretching. The local geometric regularity of vortex lines and the anisotropic solution structure play an important role in depleting the nonlinearity dynamically and thus prevents a finite time blowup. (C) 2008 Elsevier B.V. All rights reserved.; Mathematics, Applied; Physics, Multidisciplinary; Physics, Mathematical; SCI(E); EI; 24; ARTICLE; 14-17; 1937-1944; 237
语种	英语
出处	SCI ; EI
出版者	physica d nonlinear phenomena
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/262856]
专题	数学科学学院
推荐引用方式 GB/T 7714	Hou, Thomas Y.,Li, Ruo. Blowup or no blowup? The interplay between theory and numerics. 2008-01-01.

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