Compressible primitive equations: formal derivation and stability of weak solutions

Geophysical Fluid Dynamics

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Marine Hydrodynamics, Ocean Dynamics, Engineering +8

Navier-Stokes equations

Acta Applicandae Mathematicae · 1992 · 3.1K citations

New formulations of the primitive equations of atmosphere and applications

J. L. Lions, Roger Témam, S Wang · Nonlinearity · 1992 · 463 citations

Numerical Analysis, Meteorology, Atmospheric Condition +14

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

Didier Bresch, Benoı̂t Desjardins · Communications in Mathematical Physics · 2003 · 447 citations

Semi-implicit Method, Hyperbolic Conservation Law, Quasi-geostrophic Model +3

On the Barotropic Compressible Navier–Stokes Equations

Antoine Mellet, Alexis Vasseur · Communications in Partial Differential Equations · 2007 · 285 citations

Compressible Flow, Engineering, Incompressible Flow +7