Rigorous derivation of the anelastic approximation

نویسندگان

چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Rigorous derivation of the anelastic approximation to the Oberbeck-Boussinesq equations

It is shown that the anelastic Oberbeck-Boussinesq system is a small Mach, small Péclet and small Froude number limit of the complete Navier-Stokes-Fourier system for gases with large specific heat at constant volume. This result is obtained on an arbitrary large time interval. The proof allows an intrinsic view into the process of separation of fast oscillating acoustic waves, governed by a Li...

متن کامل

Penetrative Convection within the Anelastic Approximation

We present a method for studying penetrative convection within the anelastic approximation. This method is then applied to two-dimensional numerical simulations of a convective region bounded below by a stable (radiative) region. Descending plumes penetrate into the stable layer, exciting gravity waves with a spectrum of frequencies limited by the ‘‘Brunt-Väisäla’’ frequency. The depth of penet...

متن کامل

Rigorous derivation of the Gross-Pitaevskii equation.

The time-dependent Gross-Pitaevskii equation describes the dynamics of initially trapped Bose-Einstein condensates. We present a rigorous proof of this fact starting from a many-body bosonic Schrödinger equation with a short-scale repulsive interaction in the dilute limit. Our proof shows the persistence of an explicit short-scale correlation structure in the condensate.

متن کامل

Rigorous Derivation of the Thin Film Approximation with Roughness-Induced Correctors

We derive the thin film approximation including roughness-induced correctors. This corresponds to the description of a confined Stokes flow whose thickness is of order ε (designed to be small) ; but we also take into account the roughness patterns of the boundary that are described at order ε, leading to a perturbation of the classical Reynolds approximation. The asymptotic expansion leading to...

متن کامل

Thermodynamic Consistency of the Anelastic Approximation for a Moist Atmosphere

The primary goal of this paper is to validate the use of the anelastic approximation for fluids with a complex equation of state such as moist air or seawater. The anelastic approximation is based on a leading-order expansion of the equations of motion for a compressible fluid in terms of density. Its application to atmospheric flows has been based on a dry framework that treats phase transitio...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

ژورنال

عنوان ژورنال: Journal de Mathématiques Pures et Appliquées

سال: 2007

ISSN: 0021-7824

DOI: 10.1016/j.matpur.2007.06.001