Free boundary value problem for the one-dimensional compressible Navier-Stokes equations with a nonconstant exterior pressure
From MaRDI portal
Publication:2336877
DOI10.1155/2014/961014zbMath1442.35304OpenAlexW2171477628WikidataQ59054493 ScholiaQ59054493MaRDI QIDQ2336877
Publication date: 19 November 2019
Published in: Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/961014
PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations (35Q30) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- 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
- Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects
- 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
- 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
- Global existence and asymptotic behavior of weak solutions to the 1D compressible Navier–Stokes equations with degenerate viscosity coefficient
- 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
- Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
- Derivation of viscous Saint-Venant system for laminar shallow water; numerical validation
