Blow Up of Incompressible Euler Solutions

@inproceedings{Hoffman2008BlowUO,
  title={Blow Up of Incompressible Euler Solutions},
  author={Johan Hoffman and Claes Johnson},
  year={2008}
}
We present analytical and computational evidence of blowup of initially smooth solutions of the incompressible Euler equations into non-smooth turbulent solutions. We detect blowup by observing increasing L2-residuals of computed solutions under decreasing mesh size. AMS subject classification (2000): 35Q30, 65M60. 1 The Clay Navier-Stokes Millennium Problem The Clay Mathematics Institute Millennium Problem on the incompressible Navier-Stokes equations formulated by Fefferman [7] asks for a… CONTINUE READING
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