On the non-uniqueness of weak solution of the Euler equations

A. Shnirelman

Journées équations aux dérivées partielles (1996)

  • Volume: 1996, page 1-10
  • ISSN: 0752-0360

How to cite

top

Shnirelman, A.. "On the non-uniqueness of weak solution of the Euler equations." Journées équations aux dérivées partielles 1996 (1996): 1-10. <http://eudml.org/doc/93325>.

@article{Shnirelman1996,
author = {Shnirelman, A.},
journal = {Journées équations aux dérivées partielles},
keywords = {non-constant kinetic energy; two-dimensional torus; discontinuous unbounded weak solution; incompressible homogeneous Euler equations; compact support in time; inverse energy cascade; two-dimensional turbulence theory},
language = {eng},
pages = {1-10},
publisher = {Ecole polytechnique},
title = {On the non-uniqueness of weak solution of the Euler equations},
url = {http://eudml.org/doc/93325},
volume = {1996},
year = {1996},
}

TY - JOUR
AU - Shnirelman, A.
TI - On the non-uniqueness of weak solution of the Euler equations
JO - Journées équations aux dérivées partielles
PY - 1996
PB - Ecole polytechnique
VL - 1996
SP - 1
EP - 10
LA - eng
KW - non-constant kinetic energy; two-dimensional torus; discontinuous unbounded weak solution; incompressible homogeneous Euler equations; compact support in time; inverse energy cascade; two-dimensional turbulence theory
UR - http://eudml.org/doc/93325
ER -

References

top
  1. [CET] P. Constantin, W. E., E. Titi, Onsager's conjecture on the energy conservation for solutions of the Euler's equations. Communications of Mathematical Physics 165 (1994) 207-209. Zbl0818.35085MR96e:76025
  2. [D] J.-M. Delort, Existence des nappes de tourbillon en dimension deux. Journal of the American Mathematical Society 4(3) (1991) 553-586. Zbl0780.35073MR92f:76019
  3. [E] G.L. Eyink, Energy dissipation without viscosity in ideal hydrodynamics I. Fourier analysis and local energy transfer. Physica D. 78(3-4) (1994) 222-240. Zbl0817.76011MR95m:76020
  4. [K] R.H. Kraichnan, Inertial ranges in two-dimensional turbulence. Physics of Fluids 10(7) (1967) 1417-1423. 
  5. [O] L. Onsager, Statistical hydrodynamics. Nuovo Cimento (Supplemento) 6 (1949) 279. MR12,60f
  6. [S] V. Scheffer, An inviscid flow with compact support in space-time. Journal of Geometric Analysis 3(4) (1993) 343-401. Zbl0836.76017MR94h:35215

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.