Incompressible limit on thin domains with periodic boundary condition

DOI10.1088/1361-6544/ac14a0zbMath1470.35032OpenAlexW3207217129MaRDI QIDQ5005416

Sai Li, Yang Li

Publication date: 10 August 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/ac14a0

zbMATH Keywords

dimension reductioncompressible Navier-Stokes equationsvanishing viscosityincompressible limit

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Euler equations (35Q31)

Related Items (1)

Global solutions to 2D compressible isothermal Navier-Stokes equations on thin domains

Cites Work

• The compressible Euler equations in a bounded domain: Existence of solutions and the incompressible limit
• Incompressible limit for a viscous compressible fluid
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• Compressible Navier-Stokes equations on thin domains
• Nonhomogeneous Viscous Incompressible Fluids: Existence of Velocity, Density, and Pressure
• All-Time Existence of Classical Solutions for Slightly Compressible Flows
• Zero Mach number limit for compressible flows with periodic boundary conditions
• Low Mach number limit on thin domains
• Navier-Stokes Equations on Thin 3D Domains. I: Global Attractors and Global Regularity of Solutions
• Navier-Stokes equations in thin 3D domains with Navier boundary conditions
• A remark on smooth solutions of the weakly compressible periodic Navier-Stokes equations
• Incompressible, inviscid limit of the compressible Navier-Stokes system
• On the existence of globally defined weak solutions to the Navier-Stokes equations
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