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We prove that given any $\beta<1/3$, a time interval $[0,T]$, and given any smooth energy profile $e \colon [0,T] \to (0,\infty)$, there exists a weak solution $v$ of the three-dimensional Euler equations such that $v \in C^{\beta}([0,T]\times \mathbb{T}^3)$, with $e(t) = \int_{\mathbb{T}^3} |v(x,t)|^2 dx$ for all $t\in [0,T]$.
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L. Onsager · 1949
Earlier work this paper cites.
Singular integrals and periodic functions
A.P. Calderón and A. Zygmund · 1954
Earlier work this paper cites.
C 1 C^{1} isometric imbeddings
J. Nash · 1954
Earlier work this paper cites.
On C 1 C^{1} -isometric imbeddings. I, II
N. H. Kuiper · 1955
Earlier work this paper cites.
An inviscid flow with compact support in space-time
V. Scheffer · 1993
Earlier work this paper cites.
Onsager’s conjecture on the energy conservation for solutions of Euler’s equation
P. Constantin, W. E, and E.S. Titi · 1994
Earlier work this paper cites.
Energy dissipation without viscosity in ideal hydrodynamics. I. Fourier analysis and local energy transfer
G. L. Eyink · 1994
Earlier work this paper cites.
Mathematical Topics in Fluid Mechanics: Volume 1: Incompressible Models
P.-L. Lions · 1996
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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