×
Constantin, Peter; E, Weinan; Titi, Edriss S.

Onsager’s conjecture on the energy conservation for solutions of Euler’s equation. (English) Zbl 0818.35085

Commun. Math. Phys. 165, No. 1, 207-209 (1994).
Summary: We give a simple proof of a result conjectured by L. Onsager [Nuovo Cimento (9) 6, No. 2 suppl., 279–287 (1949), doi:10.1007/BF02780991] on energy conservation for weak solutions of Euler’s equation.

Cited in 12 Reviews
Cited in 272 Documents

MathOverflow Questions:

Looking for an interesting result on the Navier-Stokes equations

MSC:

35Q31 Euler equations
76D05 Navier-Stokes equations for incompressible viscous fluids

Keywords:

3D incompressible Euler’s equation; periodic boundary conditions
Cite Review PDF
Full Text: DOI

References:

[1] Onsager, L.: Statistical Hydrodynamics Nuovo Cimento (Supplemento)6, 279 (1949) · doi:10.1007/BF02780991
[2] Eyink, G.: Energy dissipation without viscosity in ideal hydrodynamics, I and II. Preprint, 1992
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.