Wild solutions for 2D incompressible ideal flow with passive tracer
Analysis of PDEs
2015-10-01 v1 Fluid Dynamics
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.
Keywords
Cite
@article{arxiv.1401.0406,
title = {Wild solutions for 2D incompressible ideal flow with passive tracer},
author = {Anne Bronzi and Milton Lopes Filho and Helena Nussenzveig Lopes},
journal= {arXiv preprint arXiv:1401.0406},
year = {2015}
}
Comments
10 pages