Add to ORKGInternational audienceNavier-Stokes equations are investigated in a functional setting in 3D open sets, bounded or not, without assuming any regularity of the boundary. The main idea is to find a correct definition of the Stokes operator in a suitable Hilbert space of divergence-free vectors and apply the Fujita-Kato method, a fixed point procedure, to get a local strong solution
No modification to the text. This work was done when the first author was at Université de Picardie....
No modification to the text. This work was done when the first author was at Université de Picardie....
The globally modified Navier-Stokes equations (GMNSE) were introduced by Caraballo, Kloeden & Real i...
summary:We consider the Navier-Stokes equations in unbounded domains $\Omega \subseteq \mathbb R ^n$...
summary:We consider the Navier-Stokes equations in unbounded domains $\Omega \subseteq \mathbb R ^n$...
summary:This paper proves a logarithmic regularity criterion for 3D Navier-Stokes system in a bounde...
summary:This paper proves a logarithmic regularity criterion for 3D Navier-Stokes system in a bounde...
summary:We assume that ${\mathbb{v}}$ is a weak solution to the non-steady Navier-Stokes initial-bou...
International audienceWe study the regularity of the Navier–Stokes equations in arbitrary Lipschitz ...
In 1985, V. Scheffer discussed partial regularity results for what he called solutions to the "Navie...
summary:Some results on regularity of weak solutions to the Navier-Stokes equations published recent...
International audienceWe investigate the Navier-Stokes equations in a suitable functional setting, i...
summary:Some results on regularity of weak solutions to the Navier-Stokes equations published recent...
Abstract. It is known that the Navier-Stokes initial boundary value problem for non-homogeneous boun...
AbstractWe study the regularity of the Navier–Stokes equations in arbitrary Lipschitz domains
No modification to the text. This work was done when the first author was at Université de Picardie....
No modification to the text. This work was done when the first author was at Université de Picardie....
The globally modified Navier-Stokes equations (GMNSE) were introduced by Caraballo, Kloeden & Real i...
summary:We consider the Navier-Stokes equations in unbounded domains $\Omega \subseteq \mathbb R ^n$...
summary:We consider the Navier-Stokes equations in unbounded domains $\Omega \subseteq \mathbb R ^n$...
summary:This paper proves a logarithmic regularity criterion for 3D Navier-Stokes system in a bounde...
summary:This paper proves a logarithmic regularity criterion for 3D Navier-Stokes system in a bounde...
summary:We assume that ${\mathbb{v}}$ is a weak solution to the non-steady Navier-Stokes initial-bou...
International audienceWe study the regularity of the Navier–Stokes equations in arbitrary Lipschitz ...
In 1985, V. Scheffer discussed partial regularity results for what he called solutions to the "Navie...
summary:Some results on regularity of weak solutions to the Navier-Stokes equations published recent...
International audienceWe investigate the Navier-Stokes equations in a suitable functional setting, i...
summary:Some results on regularity of weak solutions to the Navier-Stokes equations published recent...
Abstract. It is known that the Navier-Stokes initial boundary value problem for non-homogeneous boun...
AbstractWe study the regularity of the Navier–Stokes equations in arbitrary Lipschitz domains
No modification to the text. This work was done when the first author was at Université de Picardie....
No modification to the text. This work was done when the first author was at Université de Picardie....
The globally modified Navier-Stokes equations (GMNSE) were introduced by Caraballo, Kloeden & Real i...