Global existence of the cylindrically symmetric strong solution to compressible Navier-Stokes equations

DOI10.1155/2014/728715zbMath1474.35535OpenAlexW2128225036WikidataQ59040981 ScholiaQ59040981MaRDI QIDQ1724833

Jian Liu, Ru-xu Lian

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/728715

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Strong solutions to PDEs (35D35)

Related Items (2)

Regularity to the spherically symmetric compressible Navier-Stokes equations with density-dependent viscosity ⋮ Regularity for compressible isentropic Navier-Stokes equations with cylinder symmetry

Cites Work

• Unnamed Item
• Unnamed Item
• Boundary layers for compressible Navier-Stokes equations with density-dependent viscosity and cylindrical symmetry
• Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations
• Global solutions of the Navier-Stokes equations for compressible flow with density-dependent viscosity and discontinuous initial data
• 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
• Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations
• Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
• Global existence in critical spaces for compressible Navier-Stokes equations
• The Cauchy problem for the one-dimensional compressible Navier-Stokes equations
• Boundary layers for the Navier-Stokes equations of compressible fluids
• Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
• Existence and Uniqueness of Global Strong Solutions for One-Dimensional Compressible Navier–Stokes Equations
• Vanishing Shear Viscosity in the Equations of Compressible Fluids for the Flows with the Cylinder Symmetry
• Boundary Layers for the Navier–Stokes Equations of Compressible Heat-Conducting Flows with Cylindrical Symmetry
• On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations
• Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation
• On the existence of globally defined weak solutions to the Navier-Stokes equations

This page was built for publication: Global existence of the cylindrically symmetric strong solution to compressible Navier-Stokes equations