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Blow up of incompressible Euler solutions
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.ORCID iD: 0000-0003-4256-0463
KTH, School of Computer Science and Communication (CSC), Numerical Analysis, NA.
2008 (English)In: BIT Numerical Mathematics, ISSN 0006-3835, E-ISSN 1572-9125, Vol. 48, no 2, 285-307 p.Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
2008. Vol. 48, no 2, 285-307 p.
Keyword [en]
blowup of Euler solutions, weak solution, general Galerkin finite, element method, Clay millenium prize, equations, flow
National Category
Mathematics
Identifiers
URN: urn:nbn:se:kth:diva-17767DOI: 10.1007/s10543-008-0184-xISI: 000258527500008Scopus ID: 2-s2.0-49749083966OAI: oai:DiVA.org:kth-17767DiVA: diva2:335812
Note
Conference on Perspectives in Numerical Analysis Location: Helsinki Univ Technol, Helsinki, FINLAND Date: MAY 27-29, 2008 Available from: 2010-08-05 Created: 2010-08-05 Last updated: 2017-12-12Bibliographically approved

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Hoffman, Johan

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