4.3 Article Proceedings Paper

Blow up of incompressible Euler solutions

期刊

BIT NUMERICAL MATHEMATICS
卷 48, 期 2, 页码 285-307

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SPRINGER
DOI: 10.1007/s10543-008-0184-x

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blowup of Euler solutions; weak solution; general Galerkin finite element method; Clay millenium prize

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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.

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