2014/01/02 by Anne Bronzi, Milton Lopes Filho, Helena Nussenzveig Lopes · 1 citation
Mathematics · Physics and Astronomy · #math.AP #physics.flu-dyn #msc:35Q35 #msc:35D30 #msc:76B03 #msc:76W05
paper · pdf · doi:10.4310/cms.2015.v13.n5.a12
10 pages
arxiv created 2014/01/02 · arxiv updated 2015/10/01
In Ann. Math., 170 (2009), 1417-1436, 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.