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math.AP2018
Partial and full hyper-viscosity for Navier-Stokes and primitive equations
Amru Hussein
The -D primitive equations and incompressible Navier-Stokes equations with full hyper-viscosity and only horizontal hyper-viscosity are considered on the torus, i.e., the diffus…
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…
math.AP2018
The Hydrostatic Stokes Semigroup and Well-Posedness of the Primitive Equations on Spaces of Bounded Functions
Yoshikazu Giga, Mathis Gries, Matthias Hieber +2
Consider the -d primitive equations in a layer domain , , subject to mixed Dirichlet and Neumann boundary conditions at and , respectiv…