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Bounds on the dispersion of vorticity in 2D incompressible, inviscid flows with a priori unbounded velocity

Identificadores del recurso

Siam Journal On Mathematical Analysis. Siam Publications, v. 31, n. 1, n. 134, n. 153, 1999.

http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/78234

http://www.repositorio.unicamp.br/handle/REPOSIP/78234

http://repositorio.unicamp.br/jspui/handle/REPOSIP/78234

0036-1410

WOS:000084703800007

10.1137/S0036141098337503

Procedencia

(LA Referencia)

Ficha

Título:: Bounds on the dispersion of vorticity in 2D incompressible, inviscid flows with a priori unbounded velocity
Tema:: incompressible flow; ideal flow; vorticity; irregular transport; Vortex Patch; Growth
Descripción:: Made available in DSpace on 2014-12-02T16:31:05Z (GMT). No. of bitstreams: 1 WOS000084703800007.pdf: 406226 bytes, checksum: 647c037e1ab89e01644c791dbba9b224 (MD5) Previous issue date: 1999; Made available in DSpace on 2015-11-26T17:41:38Z (GMT). No. of bitstreams: 2 WOS000084703800007.pdf: 406226 bytes, checksum: 647c037e1ab89e01644c791dbba9b224 (MD5) WOS000084703800007.pdf.txt: 51173 bytes, checksum: bfda98dcc7110c38d50886feb2e3525f (MD5) Previous issue date: 1999; We consider approximate solution sequences of the 2D incompressible Euler equations obtained by mollifying compactly supported initial vorticities in L-p, 1 less than or equal to p less than or equal to 2, or bounded measures in H-loc(-1) and exactly solving the equations. For these solution sequences we obtain uniform estimates on the evolution of the mass of vorticity and on the measure of the support of vorticity outside a ball of radius R. If the initial vorticity is in L-p, 1 less than or equal to p less than or equal to 2, these uniform estimates imply certain a priori estimates for weak solutions which are weak limits of these approximations. In the case of nonnegative vorticities, we obtain results that extend, in a natural way, the cubic-root growth of the diameter of the support of vorticity proved first by C. Marchioro for bounded initial vorticities [Comm. Math. Phys., 164 (1994), pp. 507-524] and extended by two of the authors to initial vorticities in L-p, p > 2.; 31; 1; 134; 153
Fuente:: Web of Science; reponame:Repositório Institucional da Unicamp; instname:Universidade Estadual de Campinas (UNICAMP); instacron:UNICAMP
Idioma:: English
Relación:: Siam Journal On Mathematical Analysis; SIAM J. Math. Anal.
Autor/Productor:: Hounie, J; Lopes, MC; Lopes, HJN
Editor:: Philadelphia; Siam Publications; EUA
Otros colaboradores/productores:: Universidade Estadual de Campinas
Derechos:: info:eu-repo/semantics/openAccess
Fecha:: 1999; 2014-12-02T16:31:05Z; 2015-11-26T17:41:38Z; DEC 10
Tipo de recurso:: info:eu-repo/semantics/publishedVersion; info:eu-repo/semantics/article
About:: http://repositorio.unicamp.br/oai/requestoai:repositorio.unicamp.br:REPOSIP/782342015-11-30 11:28:01.912http://www.openarchives.org/OAI/2.0/oai_dc/opendoar:1529Repositório Institucional da Unicamp - Universidade Estadual de Campinas (UNICAMP)

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