Fast rotation limit for the 2-D non-homogeneous incompressible Euler equations

DOI10.1016/j.jmaa.2022.126140OpenAlexW3174755462MaRDI QIDQ831505

Gabriele Sbaiz

Publication date: 23 March 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2106.13699

zbMATH Keywords

singular perturbation problemcompensated compactnesslow Rossby numberdensity-dependent incompressible Euler system

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Hydrology, hydrography, oceanography (86A05) Singular perturbations in context of PDEs (35B25) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) PDEs in connection with geophysics (35Q86) Euler equations (35Q31) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02) Rossby waves (76U65)

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Fast rotating non-homogeneous fluids in thin domains and the Ekman pumping effect, On the influence of gravity in the dynamics of geophysical flows

Cites Work

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• Weak-strong uniqueness for the isentropic compressible Navier-Stokes system
• Scale interactions in compressible rotating fluids
• Multi-scale analysis of compressible viscous and rotating fluids
• The well-posedness issue for the density-dependent Euler equations in endpoint Besov spaces
• The dynamics of equatorial long waves: a singular limit with fast variable coefficients
• Incompressible viscous flows in borderline Besov spaces
• A mathematical review of the analysis of the betaplane model and equatorial waves
• On the well-posedness of the incompressible density-dependent Euler equations in the \(L^p\) framework
• Remarks on the breakdown of smooth solutions for the 3-D Euler equations
• Incompressible limit for a viscous compressible fluid
• Hydrodynamics in Besov spaces
• Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
• Dispersive effects of weakly compressible and fast rotating inviscid fluids
• Highly rotating fluids with vertical stratification for periodic data and vanishing vertical viscosity
• Examples of dispersive effects in non-viscous rotating fluids
• Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system
• A blow-up criterion for the inhomogeneous incompressible Euler equations
• Rigorous derivation and well-posedness of a quasi-homogeneous ideal MHD system
• Fast averaging for long- and short-wave scaled equatorial shallow water equations with Coriolis parameter deviating from linearity
• Asymptotics of fast rotating density-dependent incompressible fluids in two space dimensions
• The inviscid limit for density-dependent incompressible fluids
• Weak convergence results for inhomogeneous rotating fluid equations
• Rotating compressible fluids under strong stratification
• Un teorema di unicita per le equazioni di Navier-Stokes
• Multiple Scales and Singular Limits for Compressible Rotating Fluids with General Initial Data
• A Singular Limit for Compressible Rotating Fluids
• Suitable weak solutions to the Navier-Stokes equations of compressible viscous fluids
• Fourier Analysis and Nonlinear Partial Differential Equations
• A simple justification of the singular limit for equatorial shallow‐water dynamics
• Calcul symbolique et propagation des singularités pour les équations aux dérivées partielles non linéaires
• Atmospheric and Oceanic Fluid Dynamics
• Global Well-Posedness and Asymptotics for a Geophysical Fluid System
• On the fast rotation asymptotics of a non-homogeneous incompressible MHD system
• Singular limits in thermodynamics of viscous fluids