Geometric depletion of vortex stretch in 3D viscous incompressible flow
نویسندگان
چکیده
منابع مشابه
Geometric Properties and Nonblowup of 3D Incompressible Euler Flow∗
has been one of the most outstanding open problems. It plays a very important role in understanding the core problems in hydrodynamics such as the onset of turbulence (people have also tried to understand turbulence through studying weak solutions; see Scheffer, 1993 or Shnirelman, 1997). Much effort has been made to answer this question; see, e.g., Beale et al. (1984), Ebin et al. (1970), Cafl...
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Vortex-stretching and, consequently, the evolution of the vorticity is localized on an arbitrarily small space-time cylinder. This yields a complete localization of the geometric condition(s) for the regularity involving coherence of the vorticity direction. In particular, it implies the regularity of any geometrically constrained Leray solution independently of the type of the spatial domain o...
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Article history: Received 15 January 2009 Received in revised form 16 April 2010 Accepted 28 May 2010 Available online 8 June 2010
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 2006
ISSN: 0022-247X
DOI: 10.1016/j.jmaa.2005.08.048