On the global existence of classical solutions for compressible Navier-Stokes equations with vacuum

DOI10.3934/dcds.2016.36.1085zbMath1320.76102OpenAlexW2340604215MaRDI QIDQ495814

Peixin Zhang, Jian-Wen Zhang, Jun Ning Zhao

Publication date: 15 September 2015

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2016.36.1085

zbMATH Keywords

vacuumcompressible Navier-Stokes equationslarge initial dataglobal classical solution

Mathematics Subject Classification ID

PDEs of mixed type (35M10) Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10)

Related Items (4)

On existence of global classical solutions to the 3D compressible MHD equations with vacuum ⋮ Global classical solutions of compressible isentropic Navier-Stokes equations with small density ⋮ Classical solutions of the 3D compressible fluid-particle system with a magnetic field ⋮ Global classical solutions to the 2D compressible Navier-Stokes equations with vacuum

Cites Work

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• A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
• On the uniqueness of compressible fluid motions
• The initial value problem for the equations of motion of viscous and heat-conductive gases
• Unique solvability of the initial boundary value problems for compressible viscous fluids.
• 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 classical solutions of the compressible Navier-Stokes equations with nonnegative initial densities
• Serrin-Type Criterion for the Three-Dimensional Viscous Compressible Flows
• Global well-posedness of classical solutions with large oscillations and vacuum to the three-dimensional isentropic compressible Navier-Stokes equations
• Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
• Le problème de Cauchy pour les équations différentielles d'un fluide général
• Uniform estimates and stabilization of symmetric solutions of a system of quasilinear equations
• On the existence of globally defined weak solutions to the Navier-Stokes equations

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