The role of eigenvalues and eigenvectors of the symmetrized gradient of velocity in the theory of the Navier-Stokes equations;Rôle des valeurs propres et des vecteurs propres du gradient symétrisé des vitesses en théorie des équations de Navier-Stokes

Comptes Rendus Mathematique

Volumn 336, Issue 10, 2003, Pages 805-810

  Neustupa, Jir̂í ^a   Penel, Patrick ^b  

^a CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

^b UNIVERSITÉ DE TOULON   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0038236407     PISSN: 1631073X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-073X(03)00174-2     Document Type: Article

References (4)

1. L. Caffarelli, R. Kohn, L. Nirenberg, Partial regularity of suitable weak solutions of the Navier-Stokes equations, Comm. Pure Appl. Math. 35 (1982) 771-831.
2. G.P. Galdi, An Introduction to the Navier-Stokes initial-boundary value problem, in: G.P. Galdi, J. Heywood, R. Rannacher (Eds.), Fundamental Directions in Mathematical Fluid Mechanics, Birkhäuser, Basel, 2000, pp. 1-98.
3. J. Neustupa, P. Penel, Anisotropic and geometric criteria for interior regularity of weak solutions to the 3D Navier-Stokes equations, in: J. Neustupa, P. Penel (Eds.), Mathematical Fluid Mechanics, Recent Results and Open Problems, Birkhäuser, Basel, 2001, pp. 237-268.
4. J. Neustupa, P. Penel, Regularity of weak solutions to the Navier-Stokes equations in dependence on eigenvalues and eigenvectors of the rate of deformation tensor, Preprint, 2002.