Local weak solution of the isentropic compressible Navier-Stokes equations in a half-space

DOI10.1007/s11425-020-1733-4zbMath1487.35288OpenAlexW3103276014MaRDI QIDQ2133636

Publication date: 4 May 2022

Published in: Science China. Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-020-1733-4

zbMATH Keywords

vacuum Navier-Stokes equation half-space local weak solution

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Cites Work

Global well-posedness of classical solutions to the compressible Navier-Stokes equations in a half-space
Initial boundary value problems for the equations of motion of compressible viscous and heat-conductive fluids
Compressible flow in a half-space with Navier boundary conditions
Long time behavior for one-dimensional motion of a general barotropic viscous fluid
An existence theorem for compressible viscous fluids
The initial value problem for the equations of motion of viscous and heat-conductive gases
The initial value problem for the equations of motion of compressible viscous and heat-conductive fluids
Solvability of the initial-boundary-value problem for the equations of motion of a viscous compressible fluid
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On existence of global solutions to the two-dimensional Navier-Stokes equations for a compressible viscous fluid
On classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities
Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
Regularity of weak solutions of the compressible isentropic navier-stokes equations
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 spherically symmetric solutions of the compressible isentropic Navier-Stokes equations
On the existence of globally defined weak solutions to the Navier-Stokes equations
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