The primitive equations on the large scale ocean under the small depth hypothesis (original) (raw)

Annals of Mathematics, 2007

Exponential approximations for the primitive equations of the ocean

Discrete & Continuous Dynamical Systems - B, 2006

Existence and regularity results for the primitive equations in two space dimensions

Communications on Pure and Applied Analysis, 2004

The primitive equations as the small aspect ratio limit of the Navier–Stokes equations: Rigorous justification of the hydrostatic approximation

Journal de Mathématiques Pures et Appliquées, 2019

Global Well-Posedness of the Three-Dimensional Primitive Equations with Only Horizontal Viscosity and Diffusion

Communications on Pure and Applied Mathematics, 2015

Global Well-posedness of the 3D Primitive Equations with Only Horizontal Viscosity and Diffusion

arXiv (Cornell University), 2014

On the order of magnitude of the baroclinic flow in the primitive equations of the ocean

Annali di Matematica Pura ed Applicata, 2005

Strong solutions to the 3D primitive equations with only horizontal dissipation: Near H1 initial data

Journal of Functional Analysis, 2017

A new nested boundary condition for a primitive equation ocean model

Lucy Smedstad

Journal of Geophysical Research, 1997

Anisotropic estimates and strong solutions of the primitive equations

Francisco Guillen-Gonzalez

Differential and Integral Equations

The 3D Primitive Equations in the absence of viscosity: Boundary conditions and well-posedness in the linearized case

Journal de Mathématiques Pures et Appliquées, 2008

Boundary conditions for an ocean related system with a small parameter

Contemporary Mathematics, 2005

Global well-posedness of the 3D primitive equations with horizontal viscosity and vertical diffusivity

arXiv (Cornell University), 2017

Global well-posedness of strong solutions to the 3D primitive equations with horizontal eddy diffusivity

Journal of Differential Equations, 2014

On the strong solutions of the primitive equations in 2D domains

Francisco Guillen-Gonzalez

Nonlinear Analysis: Theory, Methods & Applications, 2002

Finite-Time Blowup for the Inviscid Primitive Equations of Oceanic and Atmospheric Dynamics

Communications in Mathematical Physics, 2015

Global Existence of Weak Solutions to the Compressible Primitive Equations of Atmospheric Dynamics with Degenerate Viscosities

SIAM Journal on Mathematical Analysis, 2019

A Bochev–Dohrmann–Gunzburger stabilization method for the primitive equations of the ocean

Macarena Gómez-Mármol

Applied Mathematics Letters, 2013

Global Well-Posedness of the Primitive Equations of Large-Scale Ocean Dynamics with the Gent-McWilliams-Redi Eddy Parametrization Model

arXiv (Cornell University), 2023

Global regularity for the Navier–Stokes equations with some classes of large initial data

Zhifei Zhang

Analysis & PDE, 2011

Local and Global Well-Posedness of Strong Solutions to the 3D Primitive Equations with Vertical Eddy Diffusivity

Archive for Rational Mechanics and Analysis, 2014

Global regularity for an inviscid three-dimensional slow limiting ocean dynamics model

Communications in Information and Systems, 2013

Local Well-Posedness of Strong Solutions to the Three-Dimensional Compressible Primitive Equations

Archive for Rational Mechanics and Analysis, 2021

1D and 2D GLOBAL STRONG SOLUTIONS OF NAVIER STOKES EXISTENCE AND UNIQUENESS

Jake Brockbank

2022

Global existence and regularity for the 3D stochastic primitive equations of the ocean and atmosphere with multiplicative white noise

Mohammed Ziane

Nonlinearity, 2012

Enstrophy bounds and the range of space-time scales in the hydrostatic primitive equations

J D Gibbon

Physical Review E, 2013

Uniqueness of strong solution for a 1D viscous bi-layer Shallow Water model

Jean De Dieu Zabsonre

Annals of the University of Craiova - Mathematics and Computer Science Series, 2012

Strong solutions for a 1D viscous bilayer shallow water model

Jean De Dieu Zabsonre

Nonlinear Analysis: Real World Applications, 2013

Some Mathematical Problems in Geophysical Fluid Dynamics

Handbook of Numerical Analysis, 2009

Existence of Global Weak Solutions for a 2D Viscous Shallow Water Equations and Convergence to the Quasi-Geostrophic Model

Benoit Desjardins

2003

Existence of a global weak solution for a 2D viscous bi-layer Shallow Water model

Jean De Dieu Zabsonre

Nonlinear Analysis-real World Applications, 2009

On open boundary conditions for three dimensional primitive equation ocean circulation models

David Stevens

Geophysical and Astrophysical Fluid Dynamics, 1990

Boundary conditions for the 2D linearized PEs of the ocean in the absence of viscosity

Discrete & Continuous Dynamical Systems - A, 2005

Existence and Uniqueness of Weak Solutions to Viscous Primitive Equations for a Certain Class of Discontinuous Initial Data

SIAM Journal on Mathematical Analysis, 2017

Existence and uniqueness of weak solutions to viscous primitive equations for certain class of discontinuous initial data

arXiv (Cornell University), 2015