Concentration Sets For 2d Incompressible Flow

dc.creatorLopes-Filho M.C.
dc.creatorNussenzveig Lopes H.J.
dc.date1996
dc.date2015-06-26T17:02:14Z
dc.date2015-11-26T14:18:02Z
dc.date2015-06-26T17:02:14Z
dc.date2015-11-26T14:18:02Z
dc.date.accessioned2018-03-28T21:19:13Z
dc.date.available2018-03-28T21:19:13Z
dc.identifier
dc.identifierZamm Zeitschrift Fur Angewandte Mathematik Und Mechanik. , v. 76, n. SUPPL. 2, p. 101 - 104, 1996.
dc.identifier442267
dc.identifier
dc.identifierhttp://www.scopus.com/inward/record.url?eid=2-s2.0-33749477895&partnerID=40&md5=d6afbcf8b3bc477d2752ce3d21b01ec8
dc.identifierhttp://www.repositorio.unicamp.br/handle/REPOSIP/95384
dc.identifierhttp://repositorio.unicamp.br/jspui/handle/REPOSIP/95384
dc.identifier2-s2.0-33749477895
dc.identifier.urihttp://repositorioslatinoamericanos.uchile.cl/handle/2250/1243511
dc.descriptionWe recall the definition of DiPerna-Majda concentration sets and their role in the study of existence for the incompressible 2D Euler equations with singular initial data. We review examples of concentration-cancellation, focusing on the issue of dynamic kinetic energy defects for the limit flows. We also describe a recent refined estimate of the dimension of (sequential) concentrations which depends on additional temporal regularity. Finally, we discuss the possibility of obtaining the temporal regularity apriori for smooth solutions and a related problem of controlling the evolution of the support of vorticity.
dc.description76
dc.descriptionSUPPL. 2
dc.description101
dc.description104
dc.descriptionDiperna, R., Majda, A., Reduced Hausdorff dimension and concentration-cancellation for 2-D incompressible flow (1988) J. of Amer. Math. Soc., 1, pp. 59-95
dc.descriptionDiperna, R., Majda, A., Concentrations in regularizations for 2D incompressible flow (1987) Comm. in Pure and Appl. Math., 40, pp. 301-345
dc.descriptionDiperna, R., Majda, A., Oscillations and concentrations in weak solutions of the incompressible fluid equations (1987) Comm. Math. Phys., 108, pp. 667-689
dc.descriptionDelort, J.-M., Existence de nappes de tourbillon en dimension deux (1991) J. of Amer. Math. Soc., 4, pp. 553-586
dc.descriptionEvans, L.C., Weak Convergence Methods for Nonlinear Partial Differential Equations (1990) CBMS Lecture Notes 74 Amer. Math. Soc.
dc.descriptionGreengard, C., Thomann, E., On DiPerna-Majda concentration sets for two-dimensional incompressible flow (1988) Comm. Pure Appl. Math., 41, pp. 295-303
dc.descriptionLiu, J.-G., Xin, Z., Convergence of Vortex Methods for Weak Solutions to the 2D Euler Equations with Vortex Sheet Data, , Preprint
dc.descriptionMajda, A., Remarks on weak solutions for vortex sheets with a distinguished sign (1993) Indiana U. Math. J., 42, pp. 921-939
dc.descriptionNussenzveig Lopes, H.J., An estimate on the Hausdorff dimension of a concentration set for the incompressible 2-D Euler equation (1994) Ind. Univ. Math. J., 43 (2), pp. 521-534
dc.descriptionNussenzveig Lopes, H.J., A Refined Estimate of the Size of Concentration Sets for 2D Incompressible Inviscid Flow, , Preprint
dc.descriptionPullin, D.I., Phillips, W.R.C., On a generalization of Kaden's problem (1981) J. Fluid Mech., 104, pp. 45-53
dc.descriptionVecchi, I., Wu, S., On L1-vorticity for 2-D incompressible flow (1993) Manuscripta Math., 78, pp. 403-412
dc.descriptionZheng, Y., Concentration-cancellation for the velocity fields in two-dimensional incompressible fluid flows (1991) Comm. Math. Phys., 135, pp. 581-594
dc.descriptionZiemer, W., (1989) Weakly Differentiable Functions, , New York: Springer-Verlag
dc.languageen
dc.publisher
dc.relationZAMM Zeitschrift fur Angewandte Mathematik und Mechanik
dc.rightsfechado
dc.sourceScopus
dc.titleConcentration Sets For 2d Incompressible Flow
dc.typeArtículos de revistas


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