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Recently, two of these authors construct dissipative continuous (weak) solutions to the incompressible Euler equations on the three-dimensional torus $\mathbb T^3$.
L. Onsager, Statistical hydrodynamics , Nuovo Cimento (9) 6
1949
Earlier work this paper cites.
J. Nash, C 1 C^{1} isometric imbeddings , Ann. Math. 60
1954
Earlier work this paper cites.
Vladimir Scheffer, An inviscid flow with compact support in space-time , J. Geom. Anal. 3
1993
Earlier work this paper cites.
Peter Constantin, Weinan E, and Edriss S. Titi, Onsager’s conjecture on the energy conservation for solutions of Euler’s equation , Comm. Math. Phys. 165
1994
Earlier work this paper cites.
Gregory L. Eyink, Energy dissipation without viscosity in ideal hydrodynamics. I. Fourier analysis and local energy transfer , Phys. D 78
1994
Earlier work this paper cites.
A. Shnirelman, On the nonuniqueness of weak solution of the Euler equation , Comm. Pure Appl. Math. 50
1997
Cited alongside, same era.
Camillo De Lellis and László Székelyhidi, Jr., The Euler equations as a differential inclusion , Ann. of Math. (2) 170
2009
Cited alongside, same era.
Sergio Conti, Camillo De Lellis, and László Székelyhidi, Jr., h h -principle and rigidity for C 1 , α C^{1,\alpha} isometric embeddings , To appear in the Proceedings of the Abel Symposium 2010 (2011)
2011
Cited alongside, same era.
Diego Cordoba, Daniel Faraco, and Francisco Gancedo, Lack of uniqueness for weak solutions of the incompressible porous media equation , Arch. Ration. Mech. Anal. 200
2011
Cited alongside, same era.
R. Shvydkoy, Convex integration for a class of active scalar equations , J. Amer. Math. Soc. 24
2011
Cited alongside, same era.
László Székelyhidi, Jr. and E. Wiedemann, Young measures generated by ideal incompressible fluid flows , Preprint (2011)
2011
Later among the works it cites.
László Székelyhidi, Jr., Relaxation of the incompressible porous medium equation , Preprint (2011)
2011
Later among the works it cites.
E. Wiedemann, Existence of weak solutions for the incompressible Euler equations , Ann. Inst. H. Poincaré Anal. Non Linéaire 28
2011
Later among the works it cites.
E. Chiodaroli, A counterexample to well-posedness of entropy solutions to the incompressible Euler system , Preprint (2012)
2012
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