Asymptotics and Lower Bound for the Lifespan of Solutions to the Primitive Equations

[1]  Frédéric Charve.  A priori estimates for the 3D quasi-geostrophic system , 2014, 1411.7132.

[2]  Frédéric Charve,et al.  Convergence of a low order non-local Navier-Stokes-Korteweg system: The order-parameter model , 2013, Asymptot. Anal..

[3]  Boris Haspot,et al.  On a Lagrangian method for the convergence from a non-local to a local Korteweg capillary fluid model , 2013, 1302.2585.

[4]  R. Danchin,et al.  Fourier Analysis and Nonlinear Partial Differential Equations , 2011 .

[5]  T. Yoneda,et al.  On dispersive effect of the Coriolis force for the stationary Navier–Stokes equations , 2010, 1007.1181.

[6]  Raphaël Danchin,et al.  A Global Existence Result for the Compressible Navier–Stokes Equations in the Critical Lp Framework , 2010 .

[7]  Taoufik Hmidi,et al.  On the global well-posedness of the Euler-Boussinesq system with fractional dissipation , 2009, 0903.3747.

[8]  L. Debnath.  Geophysical Fluid Dynamics , 2008 .

[9]  Taoufik Hmidi,et al.  On the Global Well-Posedness of the Critical Quasi-Geostrophic Equation , 2007, SIAM J. Math. Anal..

[10]  Taoufik Hmidi,et al.  Global solutions of the super-critical 2D quasi-geostrophic equation in Besov spaces , 2006, math/0611494.

[11]  B. Desjardins,et al.  Mathematical Geophysics: An Introduction to Rotating Fluids and the Navier-Stokes Equations , 2006 .

[12]  Frédéric Charve.  Asymptotics and vortex patches for the quasigeostrophic approximation , 2006 .

[13]  Marius Paicu,et al.  Équation Périodique de Navier–Stokes sans Viscosité dans une Direction , 2005 .

[14]  M. Paicu.  Équation anisotrope de Navier-Stokes dans des espaces critiques , 2005 .

[15]  Alexandre Dutrifoy.  Examples of dispersive effects in non-viscous rotating fluids , 2005 .

[16]  Frédéric Charve.  Global Well-Posedness and Asymptotics for a Geophysical Fluid System , 2005 .

[17]  T. Hmidi.  Régularité höldérienne des poches de tourbillon visqueuses , 2004 .

[18]  Alexandre Dutrifoy,et al.  The incompressible limit of solutions of the two‐dimensional compressible Euler system with degenerating initial data , 2004 .

[19]  Antonio Córdoba,et al.  Communications in Mathematical Physics A Maximum Principle Applied to Quasi-Geostrophic Equations , 2004 .

[20]  Alexandre Dutrifoy.  Slow Convergence to Vortex Patches in Quasigeostrophic Balance , 2004 .

[21]  M. Paicu.  Étude asymptotique pour les fluides anisotropes en rotation rapide dans le cas périodique , 2004 .

[22]  Alex Mahalov,et al.  Global regularity of 3D rotating Navier-Stokes equations for resonant domains , 1999, Appl. Math. Lett..

[23]  D. Iftimie.  The resolution of the Navier-Stokes equations in anisotropic spaces , 1999 .

[24]  I. Gallagher.  Applications of Schochet's methods to parabolic equations , 1998 .

[25]  B. Desjardins,et al.  Derivation of quasi-geostrophic potential vorticity equations , 1998, Advances in Differential Equations.

[26]  J. Chemin,et al.  À propos d'un problème de pénalisation de type antisymétrique , 1997 .

[27]  Raphaël Danchin,et al.  Poches de tourbillon visqueuses , 1997 .

[28]  Andrew J. Majda,et al.  Averaging over fast gravity waves for geophysical flows with arbitrary potential vorticity , 1996 .

[29]  J. Lions,et al.  Geostrophic asymptotics of the primitive equations of the atmosphere , 1994 .

[30]  B. Cushman-Roisin.  Introduction to Geophysical Fluid Dynamics , 1994 .

[31]  J. Lions,et al.  New formulations of the primitive equations of atmosphere and applications , 1992 .

[32]  K. Weissenberg.  The Theory of Rotating Fluids , 1968 .

[33]  Van-Sang Ngo.  Rotating Fluids with Small Viscosity , 2009 .

[34]  Frédéric Charve.  Global well-posedness for the primitive equations with less regular initial data , 2008 .

[35]  Frédéric Charve.  Convergence of weak solutions for the primitive system of the quasigeostrophic equations , 2005 .

[36]  B. Desjardins,et al.  Ekman boundary layers in rotating fluids , 2002 .

[37]  B. Desjardins,et al.  Anisotropy and dispersion in rotating fluids , 2002 .

[38]  D. Iftimie.  Approximation of the quasigeostrophic system with the primitive systems , 1999 .

[39]  Andrew J. Majda,et al.  Averaging over Fast Gravity Waves for Geophysical Flows with Unbalanced Initial Data , 1998 .

[40]  B. Nicolaenko,et al.  Integrability and Regularity of 3D Euler and Navier-Stokes Equations for Uniformly Rotating Fluids , 1996 .

[41]  P. Gamblin,et al.  On three-dimensional vortex patches , 1995 .

[42]  J. Chemin,et al.  Fluides parfaits incompressibles , 2018, Astérisque.

[43]  J. Bony,et al.  Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires , 1980 .