Free boundary value problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity
DOI10.1080/00036811.2013.852662zbMath1300.35097OpenAlexW2018794190MaRDI QIDQ3191895
Publication date: 25 September 2014
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2013.852662
Navier-Stokes equationsstrong solutionfree boundary value problemdensity-dependent viscosity coefficient
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) 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
- 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
- The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients
- Regularity of 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity
- 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
- 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
- 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
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