Blow up of incompressible Euler solutions

• 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 L-2-residuals of computed solutions under decreasing mesh size.

Ämnesord

NATURVETENSKAP  -- Matematik (hsv//swe)

NATURAL SCIENCES  -- Mathematics (hsv//eng)

Nyckelord

blowup of Euler solutions

weak solution

general Galerkin finite

element method

Clay millenium prize

equations

flow

MATHEMATICS

MATEMATIK

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