Rotating compressible fluids under strong stratification

DOI10.1016/j.nonrwa.2014.02.004zbMath1367.76063OpenAlexW2055388253WikidataQ59316495 ScholiaQ59316495MaRDI QIDQ2510923

Eduard Feireisl, Yong Lu, Antonin Novotny

Publication date: 4 August 2014

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2014.02.004

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) General theory of rotating fluids (76U05) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

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Cites Work

• Unnamed Item
• Incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions
• Classical solutions for a generalized Euler equation in two dimensions
• Relative entropies, suitable weak solutions, and weak-strong uniqueness for the compressible Navier-Stokes system
• Scale-Dependent Models for Atmospheric Flows
• Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Vanishing Viscosity Coefficients
• The Convergence of the Navier–Stokes–Poisson System to the Incompressible Euler Equations
• Incompressible, inviscid limit of the compressible Navier-Stokes system
• On the existence of globally defined weak solutions to the Navier-Stokes equations