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For any $\alpha < 1/3$, we construct weak solutions to the $3D$ incompressible Euler equations in the class $C_tC_x^\alpha$ that have nonempty, compact support in time on ${\mathbb R} \times {\mathbb T}^3$ and therefore fail to conserve the total kinetic energy.
Statistical hydrodynamics
L. Onsager · 1949
Earlier work this paper cites.
C 1 {C}^{1} isometric embeddings i, ii
J. Nash · 1954
Earlier work this paper cites.
Finite-time regularity for bounded and unbounded ideal incompressible fluids using Hölder estimates
C. Bardos and U. Frisch · 1976
Earlier work this paper cites.
An inviscid flow with compact support in space-time
Vladimir Scheffer · 1993
Earlier work this paper cites.
Onsager’s conjecture on the energy conservation for solutions of Euler’s equation
Peter Constantin, Weinan E, and Edriss S. Titi · 1994
Earlier work this paper cites.
Energy dissipation without viscosity in ideal hydrodynamics. I. Fourier analysis and local energy transfer
Gregory L. Eyink · 1994
Earlier work this paper cites.
On the nonuniqueness of weak solution of the Euler equation
A. Shnirelman · 1997
Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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Earlier work this paper cites.
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