| dc.creator | Filho, MCL | |
| dc.creator | Lopes, HJN | |
| dc.creator | Schochet, S | |
| dc.date | 2007 | |
| dc.date | 2014-11-19T04:20:00Z | |
| dc.date | 2015-11-26T17:01:45Z | |
| dc.date | 2014-11-19T04:20:00Z | |
| dc.date | 2015-11-26T17:01:45Z | |
| dc.date.accessioned | 2018-03-28T23:49:40Z | |
| dc.date.available | 2018-03-28T23:49:40Z | |
| dc.identifier | Transactions Of The American Mathematical Society. Amer Mathematical Soc, v. 359, n. 9, n. 4125, n. 4142, 2007. | |
| dc.identifier | 0002-9947 | |
| dc.identifier | WOS:000246612600004 | |
| dc.identifier | http://www.repositorio.unicamp.br/jspui/handle/REPOSIP/53047 | |
| dc.identifier | http://www.repositorio.unicamp.br/handle/REPOSIP/53047 | |
| dc.identifier | http://repositorio.unicamp.br/jspui/handle/REPOSIP/53047 | |
| dc.identifier.uri | http://repositorioslatinoamericanos.uchile.cl/handle/2250/1278782 | |
| dc.description | In this article we consider the evolution of vortex sheets in the plane both as a weak solution of the two dimensional incompressible Euler equations and as a (weak) solution of the Birkhoff-Rott equations. We begin by discussing the classical Birkhoff-Rott equations with respect to arbitrary parametrizations of the sheet. We introduce a notion of weak solution to the Birkhoff-Rott system, and we prove consistency of this notion with the classical formulation of the equations. Our main purpose in this paper is to present a sharp criterion for the equivalence of the weak Euler and weak Birkhoff-Rott descriptions of vortex sheet dynamics. | |
| dc.description | 359 | |
| dc.description | 9 | |
| dc.description | 4125 | |
| dc.description | 4142 | |
| dc.language | en | |
| dc.publisher | Amer Mathematical Soc | |
| dc.publisher | Providence | |
| dc.publisher | EUA | |
| dc.relation | Transactions Of The American Mathematical Society | |
| dc.relation | Trans. Am. Math. Soc. | |
| dc.rights | aberto | |
| dc.source | Web of Science | |
| dc.subject | vortex sheets | |
| dc.subject | incompressible flow | |
| dc.subject | ideal flow | |
| dc.subject | weak solutions | |
| dc.subject | Kelvin-helmholtz Instability | |
| dc.subject | Weak Solutions | |
| dc.subject | Concentration-cancellation | |
| dc.subject | Spiral Vortex | |
| dc.subject | Roll-up | |
| dc.subject | Equations | |
| dc.subject | Singularity | |
| dc.subject | Existence | |
| dc.subject | Plane | |
| dc.subject | Flow | |
| dc.title | A criterion for the equivalence of the Birkhoff-Rott and Euler descriptions of vortex sheet evolution | |
| dc.type | Artículos de revistas | |
