A remark on free boundary problem of 1-D compressible Navier-Stokes equations with density-dependent viscosity

DOI10.1002/mma.1154zbMath1179.35350OpenAlexW2004810261MaRDI QIDQ3655859

Changsheng Dou, Quan-sen Jiu

Publication date: 13 January 2010

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.1154

zbMATH Keywords

free boundary problemweak solutionscompressible Navier-Stokes equationsexistence and uniqueness

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (6)

Analytical solutions to the 3-D compressible Navier-Stokes equations with free boundaries ⋮ Global strong solutions to the vacuum free boundary problem for compressible Navier-Stokes equations with degenerate viscosity and gravity force ⋮ On one-dimensional compressible Navier-Stokes equations with degenerate viscosity and constant state at far fields ⋮ Global weak solutions for 1D compressible Navier-Stokes/Allen-Cahn system with vacuum ⋮ Analytical solutions to the 1D compressible isothermal Navier–Stokes equations with density-dependent viscosity ⋮ Remark on stability of rarefaction waves to the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity coefficient

Cites Work

• Unnamed Item
• A vacuum problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity
• Free boundary problem for one-dimensional motions of compressible gas and vacuum
• Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity
• Axisymmetric solutions of the 3D Navier-Stokes equations for compressible isentropic fluids
• The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients
• Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations
• Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum
• Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum. II
• Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
• Vacuum states for compressible flow
• Global existence in critical spaces for compressible Navier-Stokes equations
• COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY AND VACUUM
• On the Barotropic Compressible Navier–Stokes Equations
• Spherically Symmetric Isentropic Compressible Flows with Density-Dependent Viscosity Coefficients
• Global Smooth Solutions of the Equations of a Viscous, Heat - Conducting, One - Dimensional Gas with Density - Dependent Viscosity
• On Some Compressible Fluid Models: Korteweg, Lubrication, and Shallow Water Systems
• On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations

This page was built for publication: A remark on free boundary problem of 1-D compressible Navier-Stokes equations with density-dependent viscosity