Free boundary problem for the equation of spherically symmetric motion of viscous gas
From MaRDI portal
Publication:689917
DOI10.1007/BF03167573zbMath0783.76082OpenAlexW4244906659MaRDI QIDQ689917
Publication date: 13 March 1994
Published in: Japan Journal of Industrial and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf03167573
Navier-Stokes equationglobal weak solutionballLagrangian coordinatesdensity distributionbarotropic gas
PDEs in connection with fluid mechanics (35Q35) Finite difference methods applied to problems in fluid mechanics (76M20) Free boundary problems for PDEs (35R35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)
Related Items
Singular behavior of vacuum states for compressible fluids ⋮ Asymptotic compactness of global trajectories generated by the Navier-Stokes-Poisson equations of a compressible fluid ⋮ On nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem ⋮ A free boundary problem for compressible hydrodynamic flow of liquid crystals in one dimension ⋮ Free boundary problem for the equation of spherically symmetric motion of viscous gas. II ⋮ Nonlinear asymptotic stability of the Lane-Emden solutions for the viscous gaseous star problem with degenerate density dependent viscosities ⋮ Global behavior of spherically symmetric Navier-Stokes equations with density-dependent viscosity ⋮ Global solutions to the compressible Euler equations with geometrical structure ⋮ Large time behaviors of strong solutions to magnetohydrodynamic equations with free boundary and degenerate viscosity ⋮ Well-posedness for the motion of physical vacuum of the three-dimensional compressible Euler equations with or without self-gravitation ⋮ Global existence of weak solution to the free boundary problem for compressible Navier-Stokes ⋮ Large-time behavior of the spherically symmetric compressible Navier-Stokes equations with degenerate viscosity coefficients ⋮ Well-posedness in smooth function spaces for the moving-boundary three-dimensional compressible Euler equations in physical vacuum ⋮ Interface behavior and decay rates of compressible Navier-Stokes system with density-dependent viscosity and a vacuum ⋮ Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum. II ⋮ Free boundary problem for the equations of spherically symmetric motion of compressible gas with density-dependent viscosity ⋮ Global classical solutions to the 1-D vacuum free boundary problem for full compressible Navier-Stokes equations with large data ⋮ Singular limit of planar magnetohydrodynamic equations with vacuum free boundary ⋮ On the dynamics of Navier-Stokes equations for a shallow water model ⋮ Remarks on spherically symmetric solutions of the compressible Euler equations ⋮ On the stability of stellar structure in one dimension II : the reactive case ⋮ Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations ⋮ On the dynamics of Navier-Stokes equations for a spherically symmetric shallow water model ⋮ Global existence of weak solution for the compressible Navier-Stokes-Poisson system for gaseous stars ⋮ Global existence of strong solutions of Navier-Stokes-Poisson equations for one-dimensional isentropic compressible fluids ⋮ Global solutions to physical vacuum problem of non-isentropic viscous gaseous stars and nonlinear asymptotic stability of stationary solutions ⋮ COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY AND VACUUM ⋮ Global strong solutions of the Cauchy problem for 1D compressible Navier-Stokes equations with density-dependent viscosity ⋮ Global classical solutions to the free boundary problem of planar full magnetohydrodynamic equations with large initial data ⋮ Compressible hydrodynamic flow of nematic liquid crystals with vacuum ⋮ Free boundary problem for the equation of spherically symmetric motion of viscous gas. III ⋮ A vacuum problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity ⋮ Asymptotic behavior of compressible Navier-Stokes equations with density-dependent viscosity and vacuum ⋮ Local well-posedness of dynamics of viscous gaseous stars ⋮ Local well-posedness of the vacuum free boundary of 3-D compressible Navier-Stokes equations ⋮ Global behavior of compressible Navier-Stokes equations with a degenerate viscosity coefficient ⋮ Local strong solution of Navier-Stokes-Poisson equations with degenerated viscosity coefficient ⋮ Global weak solution to 3D compressible flows with density-dependent viscosity and free boundary ⋮ Complete bounded trajectories and attractors for compressible barotropic self-gravitating fluid ⋮ Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations ⋮ Global behavior of spherically symmetric Navier-Stokes-Poisson system with degenerate viscosity coefficients ⋮ On globally large smooth solutions of full compressible Navier-Stokes equations with moving boundary and temperature-dependent heat-conductivity ⋮ Global existence of the radially symmetric strong solution to Navier-Stokes-Poisson equations for isentropic compressible fluids ⋮ Global weak solutions for 1D compressible Navier-Stokes/Allen-Cahn system with vacuum ⋮ GLOBAL SOLUTIONS TO THE NAVIER-STOKES EQUATIONS FOR COMPRESSIBLE HEAT-CONDUCTING FLOW WITH SYMMETRY AND FREE BOUNDARY
Cites Work
