Multiscale analysis in the compressible rotating and heat conducting fluids

DOI10.1007/s00021-017-0327-4zbMath1444.76126OpenAlexW4301456873MaRDI QIDQ721391

David Maltese, Young-Sam Kwon, Antonin Novotny

Publication date: 19 July 2018

Published in: Journal of Mathematical Fluid Mechanics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00021-017-0327-4

Mathematics Subject Classification ID

General theory of rotating fluids (76U05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Compressible Navier-Stokes equations (76N06)

Related Items (6)

On the influence of gravity in the dynamics of geophysical flows ⋮ A multiscale problem for viscous heat-conducting fluids in fast rotation ⋮ Derivation of geostrophic equations as a rigorous limit of compressible rotating and heat conducting fluids with the general initial data ⋮ On the fast rotation asymptotics of a non-homogeneous incompressible MHD system ⋮ Incompressible and fast rotation limit for barotropic Navier-Stokes equations at large Mach numbers ⋮ Asymptotic limits of dissipative turbulent solutions to a compressible two-fluid model

Cites Work

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• Inviscid incompressible limits of the full Navier-Stokes-Fourier system
• Scale interactions in compressible rotating fluids
• Inviscid incompressible limits under mild stratification: a rigorous derivation of the Euler-Boussinesq system
• Multi-scale analysis of compressible viscous and rotating fluids
• Nonlinear evolution equations and the Euler flow
• The low Mach number limit for the full Navier-Stokes-Fourier system
• Incompressible limit for a viscous compressible fluid
• The motion of slightly compressible fluids viewed as a motion with strong constraining force
• Zero viscosity limit for analytic solutions, of the Navier-Stokes equation on a half-space. I: Existence for Euler and Prandtl equations
• Zero viscosity limit for analytic solutions of the Navier-Stokes equation on a half-space. II: Construction of the Navier-Stokes solution
• The Euler limit of the Navier-Stokes equations, and rotating fluids with boundary
• Boundary layers associated with incompressible Navier-Stokes equations: the noncharacteristic boundary case
• Well-posedness of the Euler and Navier-Stokes equations in the Lebesgue spaces \(L^ p_ s({\mathbb{R}}^ 2)\)
• Rotating fluids in a cylinder
• Weak-strong uniqueness property for the full Navier-Stokes-Fourier system
• Rotating compressible fluids under strong stratification
• 3D Navier-Stokes and Euler equations with initial data characterized by uniformly large vorticity
• Navier--Stokes--Fourier System on Unbounded Domains: Weak Solutions, Relative Entropies, Weak-Strong Uniqueness
• Multiple Scales and Singular Limits for Compressible Rotating Fluids with General Initial Data
• Scale-Dependent Models for Atmospheric Flows
• Lagrangian Fluid Dynamics
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions
• The mathematical theory of low Mach number flows
• Low Mach number limit for viscous compressible flows
• The Convergence with Vanishing Viscosity of Nonstationary Navier-Stokes Flow to Ideal Flow in R 3
• Singular limits in thermodynamics of viscous fluids
• Incompressible, inviscid limit of the compressible Navier-Stokes system

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