Wellposedness and stability results for the Navier-Stokes equations in
Jean-Yves Chemin, Isabelle Gallagher (2009)
Annales de l'I.H.P. Analyse non linéaire
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Displaying similar documents to “On the uniqueness of weak solutions for the 3D Navier-Stokes equations”
Wellposedness and stability results for the Navier-Stokes equations in
A regularity criterion for the Navier-Stokes equations in terms of the pressure gradient
Stefano Bosia, Monica Conti, Vittorino Pata (2014)
Open Mathematics
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The incompressible three-dimensional Navier-Stokes equations are considered. A new regularity criterion for weak solutions is established in terms of the pressure gradient.
Local exact controllability to the trajectories of the Navier-Stokes system with nonlinear Navier-slip boundary conditions
Sergio Guerrero (2006)
ESAIM: Control, Optimisation and Calculus of Variations
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In this paper we deal with the local exact controllability of the Navier-Stokes system with nonlinear Navier-slip boundary conditions and distributed controls supported in small sets. In a first step, we prove a Carleman inequality for the linearized Navier-Stokes system, which leads to null controllability of this system at any time . Then, fixed point arguments lead to the deduction of a local result concerning the exact controllability to the trajectories of the Navier-Stokes system. ...
On evolutionary Navier-Stokes-Fourier type systems in three spatial dimensions
Miroslav Bulíček, Roger Lewandowski, Josef Málek (2011)
Commentationes Mathematicae Universitatis Carolinae
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In this paper, we establish the large-data and long-time existence of a suitable weak solution to an initial and boundary value problem driven by a system of partial differential equations consisting of the Navier-Stokes equations with the viscosity polynomially increasing with a scalar quantity that evolves according to an evolutionary convection diffusion equation with the right hand side that is merely -integrable over space and time. We also formulate a conjecture concerning...