Some 2.5D Models for the Primitive Equations of the Ocean and the Atmosphere
Abstract
The primitive equations (PEs) of the atmosphere and the ocean without viscosity are considered. A 2.5D model is introduced, whose motivation is described in the Introduction. A set of nonlocal boundary conditions is proposed, and well-posedness is established for the flows linearized around a constant velocity stratified flow; homogeneous and nonhomogeneous boundary conditions are considered. A related model of dimension 2.5, of physical interest but with fewer degrees of freedom, is also considered at the end.
Domains
Mathematics [math] Analysis of PDEs [math.AP] Mathematics [math] Numerical Analysis [math.NA] Physics [physics] Physics [physics] Fluid Dynamics [physics.flu-dyn] Physics [physics] Physics [physics] Geophysics [physics.geo-ph] Sciences of the Universe [physics] Earth Sciences Geophysics [physics.geo-ph]
Origin : Files produced by the author(s)
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