Global classical solutions of compressible isentropic Navier-Stokes equations with small density

DOI10.1016/j.nonrwa.2017.12.005OpenAlexW2781614068MaRDI QIDQ1640808

Xin Si, Jun Ning Zhao, Jian-Wen Zhang

Publication date: 14 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2017.12.005

zbMATH Keywords

vacuumCauchy problemcompressible Navier-Stokes equationsglobal classical solutionsmall density

Mathematics Subject Classification ID

Fluid mechanics (76-XX) Partial differential equations (35-XX)

Related Items (6)

On existence of global classical solutions to the 3D compressible MHD equations with vacuum ⋮ Regularity and uniqueness of global solutions for the 3D compressible micropolar fluids ⋮ On the global existence of classical solutions for compressible magnetohydrodynamic equations ⋮ On the global existence of classical solutions for compressible nematic liquid crystal flows with vacuum ⋮ Global strong solution to the two-dimensional full compressible Navier-Stokes equations with large viscosity ⋮ Global existence of classical solutions for two-dimensional isentropic compressible Navier-Stokes equations with small initial mass

Cites Work

• Unnamed Item
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• On the global existence of classical solutions for compressible Navier-Stokes equations with vacuum
• Global existence of classical solutions for isentropic compressible Navier-Stokes equations with small initial density
• 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
• Global classical solution to the three-dimensional isentropic compressible Navier-Stokes equations with general 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
• 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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