Related references
Note: Only part of the references are listed.On the Well-Posedness of Reduced 3D Primitive Geostrophic Adjustment Model with Weak Dissipation
Chongsheng Cao et al.
JOURNAL OF MATHEMATICAL FLUID MECHANICS (2020)
Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity
Chongsheng Cao et al.
PHYSICA D-NONLINEAR PHENOMENA (2020)
The primitive equations as the small aspect ratio limit of the Navier-Stokes equations: Rigorous justification of the hydrostatic approximation
Jinkai Li et al.
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES (2019)
Large dispersion, averaging and attractors: three 1D paradigms
Anna Kostianko et al.
NONLINEARITY (2018)
Strong solutions to the 3D primitive equations with only horizontal dissipation: Near H1 initial data
Chongsheng Cao et al.
JOURNAL OF FUNCTIONAL ANALYSIS (2017)
Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion
Chongsheng Cao et al.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2016)
Global Strong Well-Posedness of the Three Dimensional Primitive Equations in Lp-Spaces
Matthias Hieber et al.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2016)
Ill-Posedness of the Hydrostatic Euler and Singular Vlasov Equations
Daniel Han-Kwan et al.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2016)
Finite-Time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics
Chongsheng Cao et al.
COMMUNICATIONS IN MATHEMATICAL PHYSICS (2015)
GLOBAL WELL-POSEDNESS OF A SYSTEM OF NONLINEARLY COUPLED KDV EQUATIONS OF MAJDA AND BIELLO
Yanqiu Guo et al.
COMMUNICATIONS IN MATHEMATICAL SCIENCES (2015)
Strichartz estimates for the Euler equations in the rotational framework
Youngwoo Koh et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2014)
Blowup of solutions of the hydrostatic Euler equations
Tak Kwong Wong
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY (2014)
ON THE LOCAL WELL-POSEDNESS OF THE PRANDTL AND HYDROSTATIC EULER EQUATIONS WITH MULTIPLE MONOTONICITY REGIONS
Igor Kukavica et al.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2014)
STABILITY OF TWO-DIMENSIONAL VISCOUS INCOMPRESSIBLE FLOWS UNDER THREE-DIMENSIONAL PERTURBATIONS AND INVISCID SYMMETRY BREAKING
C. Bardos et al.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2013)
On the H s Theory of Hydrostatic Euler Equations
Nader Masmoudi et al.
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2012)
On the Regularization Mechanism for the Periodic Korteweg-de Vries Equation
Anatoli V. Babin et al.
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS (2011)
Local existence and uniqueness for the hydrostatic Euler equations on a bounded domain
Igor Kukavica et al.
JOURNAL OF DIFFERENTIAL EQUATIONS (2011)
On the ill-posedness of the Prandtl equation
David Gérard-Varet et al.
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY (2010)
Ill-posedness of the Hydrostatic Euler and Navier-Stokes Equations
Michael Renardy
ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS (2009)
Well-Posedness of the Generalized Proudman-Johnson Equation Without Viscosity
Hisashi Okamoto
JOURNAL OF MATHEMATICAL FLUID MECHANICS (2009)
On the regularity of the primitive equations of the ocean
Igor Kukavica et al.
NONLINEARITY (2007)
The regularity of solutions of the primitive equations of the ocean in space dimension three
Igor Kukavica et al.
COMPTES RENDUS MATHEMATIQUE (2007)
Global well-posedness of the three-dimensional viscous primitive equations of large scale ocean and atmosphere dynamics
Chongsheng Cao et al.
ANNALS OF MATHEMATICS (2007)
Euler equations for incompressible ideal fluids
C. Bardos et al.
RUSSIAN MATHEMATICAL SURVEYS (2007)
Existence of a solution 'in the large' for the 3D large-scale ocean dynamics equations
Georgij M. Kobelkov
COMPTES RENDUS MATHEMATIQUE (2006)
Examples of dispersive effects in non-viscous rotating fluids
A Dutrifoy
JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES (2005)
Rotation prevents finite-time breakdown
HL Liu et al.
PHYSICA D-NONLINEAR PHENOMENA (2004)
Remarks on the derivation of the hydrostatic Euler equations
Y Brenier
BULLETIN DES SCIENCES MATHEMATIQUES (2003)
Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics
P Azérad et al.
SIAM JOURNAL ON MATHEMATICAL ANALYSIS (2001)
Fast singular oscillating limits and global regularity for the 3D primitive equations of geophysics
A Babin et al.
ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE (2000)