2 papers
math.AP2019
Primitive Equations with Horizontal Viscosity: The Initial Value and the Time-Periodic Problem for Physical Boundary Conditions
Amru Hussein, Martin Saal, Marc Wrona
The 3D-primitive equations with only horizontal viscosity are considered on a cylindrical domain , smooth, with the physical Dirichlet bo…
math.AP2018
Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier-Stokes equations
Ken Furukawa, Yoshikazu Giga, Matthias Hieber +3
Consider the anisotropic Navier-Stokes equations as well as the primitive equations. It is shown that the horizontal velocity of the solution to the anisotropic Navier-Stokes equat…