Estimates up to the boundary of a weak solution to the Navier-Stokes equation in a cube in dependence on eigenvalues of the rate of deformation tensor

• Autorzy: Jiří Neustupa , Patrick Penel
• Języki publikacji: EN

Abstrakty

EN

We formulate sufficient conditions for regularity up to the boundary of a weak solution v in a subdomain Ω × (t₁,t₂) of the time-space cylinder Ω × (0,T) by means of requirements on one of the eigenvalues of the rate of deformation tensor. We assume that Ω is a cube.

Kategorie tematyczne

• 76D05: Navier-Stokes equations
• 35Q30: Navier-Stokes equations

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Banach Center Publications
• Rocznik: 2005
• Tom: 70
• Numer: 1
• Strony: 185-197

Daty

wydano

2005

Twórcy

autor

Jiří Neustupa

• Department of Mathematics, Faculty of, Mechanical Engineering, Czech Technical University, Karlovo nám. 13, 121 35 Praha 2, Czech Republic

autor

Patrick Penel

• Université du Sud-Toulon-Var, Mathématique, BP 20132, 83957 La Garde, France

Identyfikatory

DOI

10.4064/bc70-0-12