Local weak solution of the isentropic compressible Navier–Stokes equations

DOI10.1063/5.0054450zbMath1487.35291OpenAlexW3213057718MaRDI QIDQ5015503

Publication date: 9 December 2021

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0054450

zbMATH Keywords

regularity weak solutions compressible Navier-Stokes equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Navier-Stokes equations (35Q30) Weak solutions to PDEs (35D30) Compressible Navier-Stokes equations (76N06)

Cites Work

Existence and uniqueness of weak solutions of the compressible spherically symmetric Navier-Stokes equations
Long time behavior for one-dimensional motion of a general barotropic viscous fluid
An existence theorem for compressible viscous fluids
Solvability of the initial-boundary-value problem for the equations of motion of a viscous compressible fluid
Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
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
Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
Dynamics of singularity surfaces for compressible, viscous flows in two space dimensions
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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