Equilibrium statistical mechanics of barotropic quasi-geostrophic equations

F Grotto, U Pappalettera - Infinite Dimensional Analysis, Quantum …, 2021 - World Scientific
We consider equations describing a barotropic inviscid flow in a channel with topography
effects and beta-plane approximation of Coriolis force, in which a large-scale mean flow …

On the well-posedness of the inviscid multi-layer quasi-geostrophic equations

Q Chen - arXiv preprint arXiv:1806.06113, 2018 - arxiv.org
The inviscid multi-layer quasi-geostrophic equations are considered over an arbitrary
bounded domain. The no-flux but non-homogeneous boundary conditions are imposed to …

Two-Layer Ocean Circulation Model with Variational Control of Turbulent Viscosity Coefficient

VB Zalesny - Izvestiya, Atmospheric and Oceanic Physics, 2023 - Springer
The development of a variational method for solving the problem of quasi-geostrophic
dynamics in a two-layer periodic channel is considered. The development of the method is …

Conservative finite‐volume schemes for the quasi‐geostrophic equation on coastal‐conforming unstructured primal–dual meshes

Q Chen, L Ju - Quarterly Journal of the Royal Meteorological …, 2018 - Wiley Online Library
In this article we propose finite‐volume schemes for solving the inviscid and viscous quasi‐
geostrophic equations on coastal‐conforming unstructured primal–dual meshes. Several …

[PDF][PDF] Invariant measures and stationary solutions of 2-dimensional Euler equations and related models

F Grotto - 2020 - ricerca.sns.it
Invariant measures and their associated stationary flows play a very important and
distinguished role in the study of incompressible fluid dynamics. Although such relevance is …