12 citations · 15 across the 4 of their papers we have counts for
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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…
The Leray and Fujita-Kato theorems for the Boussinesq system with partial viscosity
R. Danchin, M. Paicu
We are concerned with the so-called Boussinesq equations with partial viscosity. These equations consist of the ordinary incompressible Navier-Stokes equations with a forcing term…
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…