Existence of global strong solution to Cauchy problem for one-dimensional barotropic compressible Navier–Stokes equations

DOI10.1080/00036811.2014.987133zbMath1328.35174OpenAlexW2074619437WikidataQ58276423 ScholiaQ58276423MaRDI QIDQ3452455

Jian Liu, Ru-xu Lian

Publication date: 12 November 2015

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2014.987133

zbMATH Keywords

Navier-Stokes equationsCauchy problemstrong solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Strong solutions to PDEs (35D35)

Related Items (1)

Global large solutions to the Cauchy problem of planar magnetohydrodynamics equations with temperature-dependent coefficients

Cites Work

• Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations
• A vacuum problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity
• On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models
• Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects
• The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients
• Dynamical behaviors for 1D compressible Navier-Stokes equations with density-dependent viscosity
• 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
• The extended monodromy group and Liouvillian first integrals
• COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY AND VACUUM
• Stability of Rarefaction Waves to the 1D Compressible Navier–Stokes Equations with Density-Dependent Viscosity
• Existence and Uniqueness of Global Strong Solutions for One-Dimensional Compressible Navier–Stokes Equations
• Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation

This page was built for publication: Existence of global strong solution to Cauchy problem for one-dimensional barotropic compressible Navier–Stokes equations