Global solution to 3D spherically symmetric compressible Navier-Stokes equations with large data

DOI10.1016/j.nonrwa.2017.09.004zbMath1382.35189OpenAlexW2761864333MaRDI QIDQ1686287

Mei Wang, Yi Wang, Zhen-Hua Guo

Publication date: 21 December 2017

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.09.004

zbMATH Keywords

compressible Navier-Stokes equationsglobal weak solution3D spherically symmetric

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (5)

Global solutions to a 3D axisymmetric compressible Navier-Stokes system with density-dependent viscosity ⋮ Global strong solutions to radial symmetric compressible Navier–Stokes equations bounded by a free surface ⋮ Global well-posedness and large-time behavior of classical solutions to the 3D Navier-Stokes system with changed viscosities ⋮ Global existence and large time behaviors of the solutions to the full incompressible Navier-Stokes equations with temperature-dependent coefficients ⋮ Global weak solution to 3D compressible flows with density-dependent viscosity and free boundary

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On spherically symmetric motions of a viscous compressible barotropic and selfgravitating gas
• Global weak solutions to the two-dimensional Navier-Stokes equations of compressible heat-conducting flows with symmetric data and forces
• Local existence of classical solutions to the two-dimensional viscous compressible flows with vacuum
• Lagrange structure and dynamics for solutions to the spherically symmetric compressible Navier-Stokes equations
• On the construction of approximate solutions for the 2D viscous shallow water model and for compressible Navier-Stokes models
• Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity
• Global existence of weak solution to the free boundary problem for compressible Navier-Stokes
• The Cauchy problem for 1D compressible flows with density-dependent viscosity coefficients
• A vacuum problem for multidimensional compressible Navier-Stokes equations with degenerate viscosity coefficients
• Blow-up of smooth highly decreasing at infinity solutions to the compressible Navier-Stokes equations
• Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• On the vacuum state for the isentropic gas dynamics equations
• On the first initial-boundary value problem of compressible viscous fluid motion
• Unique global solution with respect to time of initial-boundary value problems for one-dimensional equations of a viscous gas
• Discontinuous solutions of the Navier-Stokes equations for multidimensional flows of heat-conducting fluids
• Global properties of solutions to 1D-viscous compressible barotropic fluid equations with density dependent viscosity
• Existence of global weak solutions for a 2D viscous shallow water equations and convergence to the quasi-geostrophic model
• Vacuum states for compressible flow
• Global existence in critical spaces for compressible Navier-Stokes equations
• Symmetric nonbarotropic flows with large data and forces
• Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum
• On blowup of classical solutions to the compressible Navier-Stokes equations
• Global classical solution of the Cauchy problem to 1D compressible Navier-Stokes equations with large initial data
• On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities
• Existence of global weak solutions for 3D degenerate compressible Navier-Stokes equations
• Global well-posedness of the Cauchy problem of two-dimensional compressible Navier-Stokes equations in weighted spaces
• On the 2D compressible Navier–Stokes system with density-dependent viscosities
• Vacuum Behaviors around Rarefaction Waves to 1D Compressible Navier--Stokes Equations with Density-Dependent Viscosity
• Global Spherically Symmetric Classical Solution to Compressible Navier–Stokes Equations with Large Initial Data and Vacuum
• Stability of Rarefaction Waves to the 1D Compressible Navier–Stokes Equations with Density-Dependent Viscosity
• Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
• On the Barotropic Compressible Navier–Stokes Equations
• Spherically Symmetric Isentropic Compressible Flows with Density-Dependent Viscosity Coefficients
• Global well-posedness for compressible Navier-Stokes equations with highly oscillating initial velocity
• Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
• Remarks on weak solutions to the Navier-Stokes equations for 2-D compressible isothermal fluids with spherically symmetric initial data
• On the Global Existence of Weak Solutions for the Navier–Stokes Equations of Compressible Fluid Flows
• On the Cauchy problem for the system of fundamental equations describing the movement of compressible viscous fluid
• Le problème de Cauchy pour les équations différentielles d'un fluide général
• Non-formation of vacuum states for compressible Navier-Stokes equations
• On spherically symmetric solutions of the compressible isentropic Navier-Stokes equations

This page was built for publication: Global solution to 3D spherically symmetric compressible Navier-Stokes equations with large data