TWO-DIMENSIONAL EULER FLOWS WITH CONCENTRATED VORTICITIES

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dc.contributor.authordel Pino, Manuel
dc.contributor.authorEsposito, Pierpaolo
dc.contributor.authorMusso, Monica
dc.date.accessioned2024-01-10T13:09:51Z
dc.date.available2024-01-10T13:09:51Z
dc.date.issued2010
dc.description.abstractFor a planar model of Euler flows proposed by Tur and Yanovsky (2004), we construct a family of velocity fields w(e) for it fluid in a bounded region Omega, with concentrated vorticities w(e) for epsilon > 0 small. More precisely, given a positive integer a and a sufficiently small complex number a, we find a family of stream functions psi(epsilon) which solve the Liouville equation with Dirac mass source,
dc.description.abstractDelta psi(epsilon) + epsilon(2)e(psi epsilon) = 4 pi alpha delta(pn,epsilon) in Omega, psi(epsilon) = 0 on partial derivative Omega,
dc.description.abstractfor a suitable point p = p(a,epsilon) is an element of Omega, The vorticities w(epsilon) := -Delta(psi epsilon), concentrate in the sense that
dc.description.abstractw(epsilon) + 4 pi alpha delta(pa,epsilon) - 8 pi Sigma(alpha+1)(j=1) delta(pa,epsilon) + aj -> 0 as epsilon -> 0,
dc.description.abstractwhere the satellites a1,...,a(a+1) denote the complex (alpha + 1)-roots of a. The point p(a,epsilon) lies close to a zero point of a vector field explicitly built upon derivatives of order <= a + 1 of the regular part of Green's function of the domain.
dc.description.funderFondecyt
dc.description.funderFond Basal CMM
dc.description.funderM.U.R.S.T.
dc.description.funderAnillo ACT 125 CAPDE
dc.fechaingreso.objetodigital2024-04-30
dc.format.extent15 páginas
dc.fuente.origenWOS
dc.identifier.doi10.1090/S0002-9947-2010-04983-9
dc.identifier.eissn1088-6850
dc.identifier.issn0002-9947
dc.identifier.urihttps://doi.org/10.1090/S0002-9947-2010-04983-9
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/77687
dc.identifier.wosidWOS:000282653100010
dc.information.autorucMatemática;Musso M;S/I;1003201
dc.issue.numero12
dc.language.isoen
dc.nota.accesocontenido parcial
dc.pagina.final6395
dc.pagina.inicio6381
dc.publisherAMER MATHEMATICAL SOC
dc.revistaTRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY
dc.rightsacceso restringido
dc.subject2D Euler equations
dc.subjectsingular Liouville equation
dc.subjectLiouville formula
dc.subjectconcentrating solutions
dc.subjectSTATISTICAL-MECHANICS
dc.subjectSTATIONARY FLOWS
dc.subjectSINGULAR LIMITS
dc.subjectUP SOLUTIONS
dc.subjectEQUATIONS
dc.subjectBLOW
dc.subjectSYMMETRY
dc.subjectVORTICES
dc.titleTWO-DIMENSIONAL EULER FLOWS WITH CONCENTRATED VORTICITIES
dc.typeartículo
dc.volumen362
sipa.codpersvinculados1003201
sipa.indexWOS
sipa.indexScopus
sipa.trazabilidadCarga SIPA;09-01-2024
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