Geometric Properties and Nonblowup of 3D Incompressible Euler Flow∗

نویسندگان

  • JIAN DENG
  • THOMAS Y. HOU
  • XINWEI YU
چکیده

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), Caflisch (1993), Constantin et al. (1996), Tadmor (2001), and Babin (2001). Through these efforts,

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تاریخ انتشار 2004