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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

WILD SOLUTIONS FOR 2D INCOMPRESSIBLE IDEAL FLOW WITH PASSIVE TRACER

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Author(s):
Bronzi, Anne C. [1] ; Lopes Filho, Milton C. [2] ; Nussenzveig Lopes, Helena J. [2]
Total Authors: 3
Affiliation:
[1] Univ Estadual Campinas, Inst Matemat Estat & Comp Cient, BR-13083859 Campinas, SP - Brazil
[2] Univ Fed Rio de Janeiro, Inst Matemat, BR-21941909 Rio De Janeiro, RJ - Brazil
Total Affiliations: 2
Document type: Journal article
Source: COMMUNICATIONS IN MATHEMATICAL SCIENCES; v. 13, n. 5, p. 1333-1343, 2015.
Web of Science Citations: 2
Abstract

In {[}C. De Lellis and L. Szekelyhidi, Ann. of Math. (2), 170(3), 1417-1436, 2009] C. De Lellis and L. Szekelyhidi Jr. constructed wild solutions of the incompressible Euler equations using a reformulation of the Euler equations as a differential inclusion together with convex integration. In this article we adapt their construction to the system consisting of adding the transport of a passive scalar to the two-dimensional incompressible Euler equations. (AU)

FAPESP's process: 07/51490-7 - Mathematical aspects of incompressible fluid dynamics
Grantee:Milton da Costa Lopes Filho
Support Opportunities: Research Projects - Thematic Grants