Free boundary value problem for the cylindrically symmetric compressible Navier-Stokes equations with a constant exterior pressure
DOI10.1007/s10255-018-0785-3zbMath1404.35362OpenAlexW2894889052WikidataQ129146551 ScholiaQ129146551MaRDI QIDQ1617027
Publication date: 7 November 2018
Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10255-018-0785-3
Navier-Stokes equationsstrong solutiondensity-dependent viscosity coefficientscylindrically symmetricconstant exterior pressure
PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Strong solutions to PDEs (35D35)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the free boundary value problem for one-dimensional compressible Navier-Stokes equations with constant exterior pressure
- 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
- A vacuum problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity
- 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
- Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity
- The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients
- Dynamical behaviors for 1D compressible Navier-Stokes equations with density-dependent viscosity
- Asymptotic behavior of compressible Navier-Stokes equations with density-dependent viscosity and vacuum
- Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations
- On the free boundary value problem for compressible viscous fluid motion
- 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
- The Cauchy problem for the one-dimensional compressible Navier-Stokes equations
- Local existence of solutions to the free boundary value problem for compressible Navier-Stokes equations
- Boundary layers for the Navier-Stokes equations of compressible fluids
- Free boundary value problem for the one-dimensional compressible Navier-Stokes equations with a nonconstant exterior pressure
- Evolution free boundary problem for equations of viscous compressible heat-conducting capillary fluids
- 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
- On the Global Existence Theorem for a Free Boundary Problem for Equations of a Viscous Compressible Heat Conducting Capillary Fluid
- Existence and Uniqueness of Global Strong Solutions for One-Dimensional Compressible Navier–Stokes Equations
- Spherically Symmetric Isentropic Compressible Flows with Density-Dependent Viscosity Coefficients
- A free boundary problem for compressible viscous fluids.
- On Nonstationary Motion of a Compressible Barotropic Viscous Capillary Fluid Bounded by a Free Surface
- On local motion of a general compressible viscous heat conducting fluid bounded by a free surface
- Existence of local solutions for free boundary problems for viscous compressible barotropic fluids
- 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
This page was built for publication: Free boundary value problem for the cylindrically symmetric compressible Navier-Stokes equations with a constant exterior pressure