Two-dimensional incompressible ideal flows in a noncylindrical material domain

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dc.creatorFernandes, Flavia Z.
dc.creatorFilho, Milton C. Lopes
dc.date2007-02-01
dc.date.accessioned2026-07-07T08:51:01Z
dc.date.available2026-07-07T08:51:01Z
dc.descriptionThe purpose of this work is to prove existence of a weak solution of the two dimensional incompressible Euler equations on a noncylindrical domain consisting of a smooth, bounded, connected and simply connected domain undergoing a prescribed motion. We prove existence of a weak solution for initial vorticity in $L^p$, for $p>1$. This work complements a similar result by C. He and L. Hsiao, who proved existence assuming that the flow velocity is tangent to the moving boundary, see [JDE v. 163 (2000) 265--291].
dc.description16 pages
dc.identifierhttps://arxiv.org/abs/math/0702026
dc.identifierhttp://arxiv.org/abs/math/0702026
dc.identifierMath. Mod. Meth. Appl. Sci. v. 17, no. 12 (2007) 2035-2053
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/144798
dc.subjectAnalysis of PDEs
dc.subject35Q35,76B03,35Q30
dc.titleTwo-dimensional incompressible ideal flows in a noncylindrical material domain
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