Global existence of strong solutions to the 3D isentropic compressible Navier–Stokes equations with density‐dependent viscosities

Asymptotic behavior of solutions to PDEs (35B40) Navier-Stokes equations (35Q30) A priori estimates in context of PDEs (35B45) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Existence and blowup behavior of global strong solutions to the two-dimensional barotropic compressible Navier-Stokes system with vacuum and large initial data
The existence of local solutions for the compressible Navier-Stokes equations with the density-dependent viscosities
A vacuum problem for the one-dimensional compressible Navier-Stokes equations with density-dependent viscosity
Some diffusive capillary models of Korteweg type
On the uniqueness of compressible fluid motions
Compressible flow in a half-space with Navier boundary conditions
Global weak solutions to 1D compressible isentropic Navier-Stokes equations with density-dependent viscosity
Lagrangian structure and propagation of singularities in multidimensional compressible flow
Time analyticity and backward uniqueness of weak solutions of the Navier-Stokes equations of multidimensional compressible flow
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 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
Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum
Compressible Navier-Stokes equations with degenerate viscosity coefficient and vacuum. II
Unique solvability of the initial boundary value problems for compressible viscous fluids.
Vacuum states for compressible flow
Strong solutions of the Navier-Stokes equations for isentropic compressible fluids
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
On existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid
Global classical solution to two-dimensional compressible Navier-Stokes equations with large data in \(\mathbb{R}^2\)
Well-posedness of the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and far field vacuum
Global well-posedness of regular solutions to the three-dimensional isentropic compressible Navier-Stokes equations with degenerate viscosities and vacuum
Global well-posedness of 2D compressible Navier-Stokes equations with large data and vacuum
Global well-posedness and large time asymptotic behavior of classical solutions to the compressible Navier-Stokes equations with vacuum
On classical solutions for viscous polytropic fluids with degenerate viscosities and vacuum
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
COMPRESSIBLE NAVIER-STOKES EQUATIONS WITH DENSITY-DEPENDENT VISCOSITY AND VACUUM
Compressible Flows with a Density-Dependent Viscosity Coefficient
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
Global Existence for 1D, Compressible, Isentropic Navier-Stokes Equations with Large Initial Data
Global Regular Solutions for one-dimensional Degenerate Compressible Navier--Stokes Equations with Large Data and Far Field Vacuum
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
On the existence of globally defined weak solutions to the Navier-Stokes equations

This page was built for publication: Global existence of strong solutions to the 3D isentropic compressible Navier–Stokes equations with density‐dependent viscosities