We consider the full Navier–Stokes–Fourier system under rotation in the singular regime of small Mach and Rossby, and large Reynolds and Péclet 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 Euler–Boussinesq system as the target problem.
Journal of Mathematical Fluid Mechanics – Springer Journals
Published: Jun 2, 2017
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