Contents Online
Communications in Mathematical Sciences
Volume 13 (2015)
Number 5
Wild solutions for 2D incompressible ideal flow with passive tracer
Pages: 1333 – 1343
(Fast Communication)
DOI: https://dx.doi.org/10.4310/CMS.2015.v13.n5.a12
Authors
Abstract
In [C. De Lellis and L. Székelyhidi, Ann. of Math. (2), 170(3), 1417–1436, 2009], C. De Lellis and L. Székelyhidi, 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.
Keywords
weak solutions, wild solutions, incompressible MHD
2010 Mathematics Subject Classification
35D30, 35Q35, 76B03, 76W05
Published 22 April 2015