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	Nonexistence of locally self-similar blow-up for the 3D incompressible Navier-Stokes equations
	Hou, Thomas Y. ; Li, Ruo
	2007
关键词	Navier-Stokes equations Euler equations locally self-similar blow-up 3-D EULER EQUATIONS SYMMETRY
英文摘要	We study locally self-similar solutions of the three dimensional incompressible Navier-Stokes equations. The locally self-similar solutions we consider here are different from the global self-similar solutions. The self-similar scaling is only valid in an inner core region that shrinks to a point dynamically as the time, t, approaches a possible singularity time, T. The solution outside the inner core region is assumed to be regular, but it does not satisfy self-similar scaling. Under the assumption that the dynamically rescaled velocity profile converges to a limiting profile at t -> T in L-p for some p is an element of (3, infinity) we prove that such a locally self-similar blow-up is not possible. We also obtain a simple but useful non-blowup criterion for the 3D Euler equations.; Mathematics, Applied; Mathematics; SCI(E); 0; ARTICLE; 4; 637-642; 18
语种	英语
出处	SCI
出版者	discrete and continuous dynamical systems
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/397717]
专题	数学科学学院
推荐引用方式 GB/T 7714	Hou, Thomas Y.,Li, Ruo. Nonexistence of locally self-similar blow-up for the 3D incompressible Navier-Stokes equations. 2007-01-01.

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