Rigorous justification of hydrostatic approximation of compressible fluid flow equations
Year: 2024
Type: article
Abstract: In this paper, we obtain the 3D compressible primitive equations approximation with gravity by taking the small aspect ratio limit to the Navier-Stokes equations. We use the versatile relative entropy inequality to prove rigorously the limit from the compressible Navier-Stokes equations with a pressure law of the form p(ρ) = ρ2 to the compressible primitive equations.
Source: Gulf Journal of Mathematics
Authors: Jules Ouya, Arouna Ouedraogo
Institution: University of Koudougou
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4405172430