Energy conservation in the 3D Euler equations on $\mathbb{T}^2\times \mathbb{R}_+$

Statistical hydrodynamics

L. Onsager (1949) · 1954

Earlier work this paper cites.

Onsager’s conjecture on the energy conservation for solutions of Euler’s equation

P. Constantin, W. E, & E. Titi (1994) · 1994

Earlier work this paper cites.

Energy dissipation without viscosity in ideal hydrodynamics I. Fourier analysis and local energy transfer

G. Eyink (1994) · 1994

Earlier work this paper cites.

Calculus of variations

J. Jost & X. Li-Jost (1998) · 1998

Earlier work this paper cites.

Inertial energy dissipation for weak solutions of incompressible Euler and Navier-Stokes equations

J. Duchon & R. Robert (2000) · 2000

Earlier work this paper cites.

Recent developments in the Navier-Stokes problem

P.G. Lemarié-Rieusset (2002) · 2002

Cited alongside, same era.

Onsager and the theory of hydrodynamic turbulence

G. Eyink & K. Sreenivasan (2006) · 2006

Cited alongside, same era.

Energy conservation and Onsager’s conjecture for the Euler equations

A. Cheskidov, P. Constantin, S. Friedlander, & R. Shvydkoy (2008) · 2008

Cited alongside, same era.

On the energy of inviscid singular flows

R. Shvydkoy (2009) · 2009

Cited alongside, same era.

Lectures on the Onsager conjecture

R. Shvydkoy (2010) · 2010

Cited alongside, same era.

Fourier analysis and nonlinear partial differential equations

H. Bahouri, J. Chemin, & R. Danchin (2011) · 2011

Later among the works it cites.

Hitchhiker’s guide to the fractional Sobolev spaces

E. Di Nezza, G. Palatucci, & E. Valdinoci (2012) · 2012

Later among the works it cites.

Topics in Banach space theory . Second edition

F. Albiac & N.J. Kalton (2016) · 2016

Closest in time.

The three-dimensional Navier–Stokes equations

J.C. Robinson, J.L. Rodrigo, & W. Sadowski (2016) · 2016

Closest in time.