12 citations · 12 across the 4 of their papers we have counts for
4 papers
Anisotropic Navier-Stokes equations in a bounded cylindrical domain
Marius Paicu, Geneviève Raugel
We study the global and local existence and uniqueness of solutions to the Navier-Stokes equations with anisotropic viscosity in a bounded cylindrical domain , whe…
Global regularity for some classes of large solutions to the Navier-Stokes equations
Jean-Yves Chemin, Isabelle Gallagher, Marius Paicu
In three previous papers by the two first authors, classes of initial data to the three dimensional, incompressible Navier-Stokes equations were presented, generating a global smoo…
Global existence for the MHD system in critical spaces
Hammadi Abidi, Marius Paicu
In this article, we show that the magneto-hydrodynamic system (MHD) in with variable density, variable viscosity and variable conductivity has a local weak solution in the B…
Remarks on the blow-up of solutions to a toy model for the Navier-Stokes equations
Isabelle Gallagher, Marius Paicu
S. Montgomery-Smith provided a one dimensional model for the three dimensional, incompressible Navier-Stokes equations, for which he proved the blow up of solutions associated to a…