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In [Isett,13], the first author proposed a strengthening of Onsager's conjecture on the failure of energy conservation for incompressible Euler flows with H\"{o}lder regularity not exceeding $1/3$.
The local structure of turbulence in an incompressible viscous fluid
A. N. Kolmogorov · 1941
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Statistical hydrodynamics
L. Onsager · 1949
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A simple dynamical model of intermittent fully developed turbulence
Uriel Frisch and Pierre-Louis Sulem · 1978
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Solution for some vector analysis problems connected with operators div and grad, theory of cubature formulas and application of functional analysis to problems of mathematical physics
ME Bogovskii · 1980
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An inviscid flow with compact support in space-time
Vladimir Scheffer · 1993
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Onsager’s conjecture on the energy conservation for solutions of Euler’s equation
Peter Constantin, Weinan E, and Edriss S. Titi · 1994
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Energy dissipation without viscosity in ideal hydrodynamics. I. Fourier analysis and local energy transfer
Gregory L. Eyink · 1994
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Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations
Jean Duchon and Raoul Robert · 2000
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Onsager and the theory of hydrodynamic turbulence
G. L. Eyink and K. R. Sreenivasan · 2006
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Energy conservation and Onsager’s conjecture for the Euler equations
A. Cheskidov, P. Constantin, S. Friedlander, and R. Shvydkoy · 2008
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Dissipative anomalies in singular Euler flows
Gregory L. Eyink · 2008
Cited alongside, same era.
The Euler equations as a differential inclusion
Camillo De Lellis and László Székelyhidi, Jr · 2009
Cited alongside, same era.
On admissibility criteria for weak solutions of the Euler equations
Camillo De Lellis and László Székelyhidi, Jr · 2010
Cited alongside, same era.
Lectures on the Onsager conjecture
R. Shvydkoy · 2010
Cited alongside, same era.
Partial differential equations I. Basic theory
Michael E. Taylor · 2011
Cited alongside, same era.
Euler equations and turbulence: analytical approach to intermittency. Preprint
A. Cheskidov and R. Shvydkoy · 2012
Cited alongside, same era.
h-Principles for the Incompressible Euler Equations
Antoine Choffrut · 2013
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Dissipative continuous Euler flows
Camillo De Lellis and László Székelyhidi · 2013
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A heat flow approach to Onsager’s conjecture for the Euler equations on manifolds. To appear in
P. Isett and S.-J. Oh · 2013
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Regularity in time along the coarse scale flow for the Euler equations. Preprint
P. Isett · 2013
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Anomalous dissipation for 1 / 5 1/5 -Hölder Euler flows. To appear in
T. Buckmaster, C. De Lellis, P. Isett, and L. Székelyhidi, Jr · 2014
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Dissipative Euler flows with Onsager-critical spatial regularity, Preprint
T. Buckmaster, C. De Lellis, and L. Székelyhidi, Jr · 2014
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C. De Lellis and L. Székelyhidi, Jr · 2012
Cited alongside, same era.
The h h -principle and the equations of fluid dynamics
Camillo De Lellis and László Székelyhidi, Jr · 2012
Cited alongside, same era.
Hölder continuous Euler flows in three dimensions with compact support in time. Preprint
P. Isett · 2012
Cited alongside, same era.
Transporting microstructures and dissipative Euler flows, Preprint
T. Buckmaster, C. De Lellis, and L. Székelyhidi, Jr · 2013
Cited alongside, same era.
Weak solutions to the stationary incompressible Euler equations. Preprint
A. Choffrut and L. Székelyhidi, Jr · 2014
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Dissipative Euler flows and Onsager’s conjecture
Camillo De Lellis and László Székelyhidi, Jr · 2014
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Holder continuous solutions of active scalar equations. Preprint
P. Isett and V. Vicol · 2014
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Onsager’s Conjecture Almost Everywhere in Time
Tristan Buckmaster · 2015
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