Global solution to the exterior problem for spherically symmetric compressible Navier-Stokes equations with density-dependent viscosity and discontinuous initial data

DOI10.1186/1687-2770-2013-90zbMath1294.35067OpenAlexW2140423374WikidataQ59301565 ScholiaQ59301565MaRDI QIDQ2017334

Jianwei Yang, Ru-xu Lian

Publication date: 25 June 2014

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-2770-2013-90

zbMATH Keywords

exterior problemspherically symmetric Navier-Stokes equationsdiscontinuous initial data

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Navier-Stokes equations (35Q30)

Cites Work

• 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
• Derivation of a new two-dimensional viscous shallow water model with varying topography, bottom friction and capillary effects
• 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
• Global well-posedness of the Cauchy problem for the Navier-Stokes equations of nonisentropic flow with discontinuous initial data
• Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids
• Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum
• Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum. II
• Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
• Strong convergence to global solutions for multidimensional flows of compressible, viscous fluids with polytropic equations of state and discontinuous initial data
• 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
• Construction of solutions for compressible, isentropic Navier-Stokes equations in one space dimension with nonsmooth initial data
• Global solutions of the compressible navier-stokes equations with larger discontinuous initial data

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