The primitive equations as the small aspect ratio limit of the Navier–Stokes equations: Rigorous justification of the hydrostatic approximation
Author:
Funder
Hong Kong RGC
Chinese University of Hong Kong
Office of Naval Research
Publisher
Elsevier BV
Subject
Applied Mathematics,General Mathematics
Reference39 articles.
1. Mathematical justification of the hydrostatic approximation in the primitive equations of geophysical fluid dynamics;Azérad;SIAM J. Math. Anal.,2001
2. Stability of two-dimensional viscous incompressible flows under three-dimensional perturbations and inviscid symmetry breaking;Bardos;SIAM J. Math. Anal.,2013
3. On the uniqueness of weak solutions of the two-dimensional primitive equations;Bresch;Differ. Integral Equ.,2003
4. A vertical diffusion model for lakes;Bresch;SIAM J. Math. Anal.,1999
5. Finite-time blowup for the inviscid primitive equations of oceanic and atmospheric dynamics;Cao;Commun. Math. Phys.,2015
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