The incompressible limit of the isentropic fluids in the analytic spaces

DOI10.1007/s00033-023-02059-wzbMath1529.35359arXiv2109.02195OpenAlexW4384297703MaRDI QIDQ6113498

Ying Tan, Linfeng Li

Publication date: 9 August 2023

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.02195

zbMATH Keywords

incompressible Euler equationscompressible Euler equationsincompressible limit

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Existence, uniqueness, and regularity theory for incompressible inviscid fluids (76B03) Euler equations (35Q31)

Cites Work

• The domain of analyticity of solutions to the three-dimensional Euler equations in a half space
• The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit
• Incompressible limit for a viscous compressible fluid
• Mach limits in analytic spaces
• Mach limits in analytic spaces on exterior domains
• Incompressible limit of the nonisentropic Euler equations with the solid wall boundary conditions
• Singular limits of quasilinear hyperbolic systems with large parameters and the incompressible limit of compressible fluids
• Compressible and incompressible fluids
• Low Mach number limit of viscous compressible flows in the whole space
• Zero Mach number limit for compressible flows with periodic boundary conditions
• A Multivariate Faa di Bruno Formula with Applications
• Incompressible, inviscid limit of the compressible Navier-Stokes system
• The incompressible limit of the non-isentropic Euler equations