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

Nonlinearity

Volumn 13, Issue 1, 2000, Pages 249-255

  Duchon, Jean ^a   Robert, Raoul ^b  

^a UNIVERSITÉ LYON 1   (France)

^b INSTITUT FOURIER   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0033630156     PISSN: 09517715     EISSN: None     Source Type: Journal    
DOI: 10.1088/0951-7715/13/1/312     Document Type: Article

References (10)

1. Constantin P, E W, Titi E S 1994 Onsager's conjecture on the energy conservation for solutions of Euler's equation Commun. Math. Phys. 165 207-9
2. Eyink G 1994 Energy dissipation without viscosity in ideal hydrodynamics I. Fourier analysis and local energy transfer Physica D 78 222-40
3. Frisch U 1995 Turbulence (Cambridge: Cambridge University Press)
4. Leray J 1933 Etude de diverses équations intégrales nonlinéaires et de quelques problèmes que pose l'hydrodynamique J. Math. Pures Appl. 12 1-82
5. Leray J 1934 Essai sur le mouvement d'un liquide visqueux emplissant l'espace Acta Math. 63 193-248
6. Lions P L 1996 Mathematical Topics in Fluid Mechanics vol 1 Incompressible Models (Oxford: Clarendon)
7. Onsager L 1949 Statistical hydrodynamics Nuovo Cimento Suppl. 6 279
8. Shnirelman A I 1996-7 Weak solutions of incompressible Euler equations with decreasing energy Séminaire EDP, Ecole Polytechnique, exposé no 16
9. Scheffer V 1993 An inviscid flow with compact support in space-time J. Geom. Anal. 3 343-401
10. Yudovich V I 1963 Non-stationary flow of an ideal incompressible liquid Zh. Vychisl. Mat. Mat. Fiz. 3 1032-66