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arXiv · 1401.0406

Wild solutions for 2D incompressible ideal flow with passive tracer

Anne Bronzi·Milton Lopes Filho·Helena Nussenzveig Lopes
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Abstract

In Ann. Math., 170 (2009), 1417-1436, C. De Lellis and L. Sz\'ekelyhidi 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.

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Anne Bronzi, Milton Lopes Filho, Helena Nussenzveig Lopes. 2014-01-02. Wild solutions for 2D incompressible ideal flow with passive tracer. https://doi.org/10.4310/cms.2015.v13.n5.a12

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