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Internal Waves and Filtering
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adiabatic atmosphere adjustment to geostrophy ageostrophic model altitude analysis assumed asymptotic analysis asymptotic expansion asymptotic model asymptotic representation atmospheric flows basic equations behavior condition boundary conditions boundary layer boundary layer equations Boussinesq approximation Boussinesq equations Chap classical considered const corresponding deep convection equations defined Ekman Euler equations fact fixed fluid following boundary conditions following equation following form function gravity waves horizontal hydrostatic balance imposed infinity initial conditions internal waves introduce isochoric leads lee waves limiting process linear Mach number MMAE Navier-Stokes equations non-dimensional order unity order zero perturbation phenomenon plane primitive equations problem quasi-static equations region relation relief respect Rossby waves satisfy scale Sect singular slip condition small parameter so-called solution steady synoptic taking into account unsteady valid values variables vector velocity vertical vicinity written