Weak solutions to the incompressible Euler equations with vortex sheet initial data

Comptes Rendus Mathematique

Volumn 349, Issue 19-20, 2011, Pages 1063-1066

  Székelyhidi, László ^a  

^a UNIVERSITY OF BONN   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 80054039647     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.crma.2011.09.009     Document Type: Article

References (9)

1. Brenier Y., De Lellis C., Székelyhidi L. Weak-strong uniqueness for measure-valued solutions. Comm. Math. Phys. 2011, 305:315-361.
2. De Lellis C., Székelyhidi L. The Euler equations as a differential inclusion. Ann. Math. (2) 2009, 170(3):1417-1436.
3. De Lellis C., Székelyhidi L. On admissibility criteria for weak solutions of the Euler equations. Arch. Ration. Mech. Anal. 2010, 195(1):225-260.
4. Delort J.-M. Existence de nappes de tourbillon en dimension deux. J. Amer. Math. Soc. 1991, 4(3):553-586.
5. Lions P.-L. Mathematical Topics in Fluid Mechanics, vol. 1. Oxford Lecture Series in Mathematics and its Applications 1996, vol. 3. The Clarendon Press Oxford University Press, New York, (Incompressible models, Oxford Science Publications).
6. Scheffer V. An inviscid flow with compact support in space-time. J. Geom. Anal. 1993, 3(4):343-401.
7. Shnirelman A. On the nonuniqueness of weak solution of the Euler equation. Comm. Pure Appl. Math. 1997, 50(12):1261-1286.
8. L. Székelyhidi Jr., E. Wiedemann, Young measures generated by ideal incompressible fluid flows, Preprint, 2011.
9. Wiedemann E. Existence of weak solutions for the incompressible Euler equations. Annales de l'Institut Henri Poincare (C) Non Linear Analysis 2011, 28(5):727-730.