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Deformation and Symmetry in the Inviscid SQG and the 3D Euler Equations

Author(s): Chae, Dongho; Constantin, Peter; Wu, Jiahong

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dc.contributor.authorChae, Dongho-
dc.contributor.authorConstantin, Peter-
dc.contributor.authorWu, Jiahong-
dc.date.accessioned2017-11-21T19:19:45Z-
dc.date.available2017-11-21T19:19:45Z-
dc.date.issued2012-10en_US
dc.identifier.citationChae, Dongho, Constantin, Peter, Wu, Jiahong. (2012). Deformation and Symmetry in the Inviscid SQG and the 3D Euler Equations. JOURNAL OF NONLINEAR SCIENCE, 22 (665 - 688. doi:10.1007/s00332-012-9124-7en_US
dc.identifier.issn0938-8974-
dc.identifier.urihttp://arks.princeton.edu/ark:/88435/pr1892q-
dc.description.abstractThe global regularity problem concerning the inviscid SQG and the 3D Euler equations remains an outstanding open question. This paper presents several geometric observations on solutions of these equations. One observation stems from a relation between what we call Eulerian and Lagrangian deformations and reflects the alignment of the stretching directions of these deformations and the tangent direction of the level curves for the SQG equation. Various spatial symmetries in solutions to the 3D Euler equations are exploited. In addition, two observations on the curvature of the level curves of the SQG equation are also included.en_US
dc.format.extent665 - 688en_US
dc.language.isoenen_US
dc.relation.ispartofJOURNAL OF NONLINEAR SCIENCEen_US
dc.rightsAuthor's manuscripten_US
dc.titleDeformation and Symmetry in the Inviscid SQG and the 3D Euler Equationsen_US
dc.typeJournal Articleen_US
dc.identifier.doidoi:10.1007/s00332-012-9124-7-
dc.date.eissued2012-03-07en_US
pu.type.symplectichttp://www.symplectic.co.uk/publications/atom-terms/1.0/journal-articleen_US

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