Rigorous justification of the hydrostatic approximation for the primitive equations by scaled Navier–Stokes equations
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DOI: 10.1088/1361-6544/aba509
Abstract: 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 equations in a cylindrical domain of height $\varepsilon $ with… read more here.
Keywords: rigorous justification; hydrostatic approximation; navier stokes; primitive equations ... See more keywords