Multiscale Analysis in the Compressible Rotating and Heat Conducting Fluids

摘要

We consider the full Navier Stokes Fourier system under rotation in the singular regime of small Mach and Rossby, and large Reynolds and Peclet numbers, with ill prepared initial data on an infinite straight 3-D layer rotating with respect to the axis orthogonal to the layer. We perform the singular limit in the framework of weak solutions and identify the 2-D EulerBoussinesq system as the target problem.