Global regularity results for the 2D Boussinesq equations with vertical dissipation, Journal of Differential Equations, vol.251, pp.1637-1655, 2011. ,
, Fourier Analysis and Nonlinear Partial Differential Equations, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00732127
Fluid with anisotropic viscousity, M2AN Math. Model. Numer. A, vol.34, pp.315-335, 2000. ,
On the critical one component regularity for 3-D Navier-Stokes system, Z. Arch Rational Mech Anal, vol.224, p.871, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01311394
Paicu Les théorèmes de Leray et de Fujita-Kato pour le système de Boussinesq partiellement visqueux, vol.136, pp.261-309, 2008. ,
, Low Mach number limit for the isentropic Euler system with axisymmetric initial data
URL : https://hal.archives-ouvertes.fr/hal-00803460
Rousset: Global well-posedness for the Euler-Boussinesq system with axisymmetric data, J. Functional Analysis, vol.260, pp.745-796, 2011. ,
On the global regularity of axisymmetric Navier-StokesBoussinesq system, Discrete Contin. Dyn. Syst, vol.29, pp.737-756, 2011. ,
Rousset: Global well-posedness for a Boussinesq-Navier-Stokes system with critical dissipation, Communications in Partial Differential Equations, vol.36, issue.3, p.445, 2011. ,
The 3D Navier-Stokes equations seen as a perturbation of the 2D NavierStokes equations, vol.127, pp.473-517, 1999. ,
The resolution of the Navier-Stokes equations in anisotropic spaces, Revista Mathematica Iberoamericana, vol.15, p.1, 1999. ,
A uniqueness result for the Navier-Stokes equations with vanishing vertical viscosity, SIAM J. Math. Analysis, vol.33, issue.6, pp.1483-1493, 2002. ,
On the global well-posedness for the Boussinesq system with horizontal dissipation, Communications in Mathematical Physics, vol.321, issue.1, pp.33-67, 2013. ,
, Fluides incompressible horizontalement visqueux, 2003.
Equation anisotrope de Navier-Stokes dans des espaces critiques, Revista Mathematica Iberoamericana, vol.21, issue.1, pp.179-235, 2005. ,
, Geophysical Fluid Dynamics, 1987.
Ye: The 2D Boussinesq equations with fractional horizontal dissipation and thermal diffusion, Journal of Differential Equations, vol.115, pp.187-217, 2018. ,