On the influence of gravity in the dynamics of geophysical flows

DOI10.3934/mine.2023008arXiv2109.09841OpenAlexW3199045230MaRDI QIDQ6195546

Daniele Del Santo, Francesco Fanelli, Gabriele Sbaiz, Aneta Wróblewska-Kamińska

Publication date: 14 March 2024

Published in: Mathematics in Engineering (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.09841

zbMATH Keywords

Coriolis forceNewtonian gravityMach numberRossby numberFroude numberbarotropic Navier-Stokes equationsstratification effectsmultiscale limit

Mathematics Subject Classification ID

Meteorology and atmospheric physics (86A10) Planetary atmospheres (85A20) Compressible Navier-Stokes equations (76N06)

Related Items (1)

Fluid instabilities, waves and non-equilibrium dynamics of interacting particles: a short overview

Cites Work

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• Highly rotating viscous compressible fluids in presence of capillarity effects
• Scale interactions in compressible rotating fluids
• A singular limit problem for rotating capillary fluids with variable rotation axis
• Multi-scale analysis of compressible viscous and rotating fluids
• Multiscale analysis in the compressible rotating and heat conducting fluids
• Fast rotation limit for the 2-D non-homogeneous incompressible Euler equations
• Highly rotating fluids with vertical stratification for periodic data and vanishing vertical viscosity
• A multiscale problem for viscous heat-conducting fluids in fast rotation
• Incompressible and fast rotation limit for barotropic Navier-Stokes equations at large Mach numbers
• Asymptotics of fast rotating density-dependent incompressible fluids in two space dimensions
• Derivation of geostrophic equations as a rigorous limit of compressible rotating and heat conducting fluids with the general initial data
• Rigorous derivation of the anelastic approximation
• Weak convergence results for inhomogeneous rotating fluid equations
• Rotating compressible fluids under strong stratification
• Anisotropy and stratification effects in the dynamics of fast rotating compressible fluids
• On singular limits arising in the scale analysis of stratified fluid flows
• Multiple Scales and Singular Limits for Compressible Rotating Fluids with General Initial Data
• A Singular Limit for Compressible Rotating Fluids
• Fourier Analysis and Nonlinear Partial Differential Equations
• On the fast rotation asymptotics of a non-homogeneous incompressible MHD system
• An example of low Mach (Froude) number effects for compressible flows with nonconstant density (height) limit
• Singular limits in thermodynamics of viscous fluids
• Low Mach number limit for the degenerate Navier-Stokes equations in presence of strong stratification

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