Embedding the Boussinesq equations in the incompressible Euler equations on a manifold

Published: 15/12/2017
Embedding the Boussinesq equations in the incompressible Euler equations on a manifold
Source: TERRYTAO.WORDPRESS.COM

The Boussinesq equations for inviscid, incompressible two-dimensional fluid flow in the presence of gravity are given by where is the velocity field, is the pressure field, and is the density field (or, in some physical interpretations, the temperature field). In this post we shall restrict ourselves to formal manipulations, assuming implicitly that all fields are […]

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