Global Spherically Symmetric Classical Solution to Compressible Navier–Stokes Equations with Large Initial Data and Vacuum

DOI10.1137/110836663zbMath1388.76326arXiv1103.1429OpenAlexW2963013219MaRDI QIDQ2904744

Huanyao Wen, Lei Yao, Changjiang Zhu, Shijin Ding

Publication date: 23 August 2012

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.1429

zbMATH Keywords

vacuumglobal classical solutioncompressible Navier-Strokes equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (21)

The global stability of 2-D viscous axisymmetric circulatory flows ⋮ Classical large solution for the viscous compressible fluids with initial vacuum in 1D ⋮ Global classical solutions of the full compressible Navier-Stokes equations with cylindrical or spherical symmetry ⋮ Global well-posedness of the 3D non-isothermal compressible fluid model of Korteweg type ⋮ Global solution to 3D spherically symmetric compressible Navier-Stokes equations with large data ⋮ Global symmetric classical solutions of the full compressible Navier-Stokes equations with vacuum and large initial data ⋮ Local well-posedness to the Cauchy problem of the 2D compressible Navier-Stokes-Smoluchowski equations with vacuum ⋮ Global classical solutions to the 3D Navier–Stokes–Korteweg equations with small initial energy ⋮ Global Solutions to the Three-Dimensional Full Compressible Navier--Stokes Equations with Vacuum at Infinity in Some Classes of Large Data ⋮ Global existence for a class of large solution to compressible Navier-Stokes equations with vacuum ⋮ Global existence and large time behaviors of the solutions to the full incompressible Navier-Stokes equations with temperature-dependent coefficients ⋮ Asymptotic behavior of compressible \(p\)-th power Newtonian fluid with large initial data ⋮ Global classical solutions to 1D full compressible Navier-Stokes equations with the Robin boundary condition on temperature ⋮ Non-existence of classical solutions with finite energy to the Cauchy problem of the compressible Navier-Stokes equations ⋮ Global existence for a class of large solution to the three-dimensional micropolar fluid equations with vacuum ⋮ Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum ⋮ Global strong spherically symmetric solutions to the full compressible Navier-Stokes equations with stress free boundary ⋮ Global spherically symmetric classical solution to the Navier-Stokes-Maxwell system with large initial data and vacuum ⋮ Local classical solutions of compressible Navier-Stokes-Smoluchowski equations with vacuum ⋮ On the existence of local classical solutions to the Navier-Stokes equations with degenerate viscosities ⋮ Global Existence for a Class of Large Solutions to Three-Dimensional Compressible Magnetohydrodynamic Equations with Vacuum

This page was built for publication: Global Spherically Symmetric Classical Solution to Compressible Navier–Stokes Equations with Large Initial Data and Vacuum