Blow-up criterion for the 3D compressible non-isentropic Navier-Stokes equations without thermal conductivity

DOI10.1016/j.jmaa.2015.06.015zbMath1325.35144OpenAlexW2251540259MaRDI QIDQ491853

Shengguo Zhu, Junru Xu, Ya-Chun Li

Publication date: 19 August 2015

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.06.015

zbMATH Keywords

compressible Navier-Stokes systemblow-up of solutionssolutions with vacuum

Mathematics Subject Classification ID

Navier-Stokes equations (35Q30) Existence, uniqueness, and regularity theory for compressible fluids and gas dynamics (76N10) Blow-up in context of PDEs (35B44) Strong solutions to PDEs (35D35)

Related Items (3)

Calderón–Zygmund theory in Lorentz mixed‐norm spaces and its application to compressible fluids ⋮ Global existence and large time behaviors of the solutions to the full incompressible Navier-Stokes equations with temperature-dependent coefficients ⋮ Refined blow-up criteria for the full compressible Navier-Stokes equations involving temperature

Cites Work

• A Beale-Kato-Majda blow-up criterion for the 3-D compressible Navier-Stokes equations
• Blowup criterion for viscous baratropic flows with vacuum states
• Existence results for viscous polytropic fluids with vacuum
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• Remarks on a paper by J. T. Beale, T. Kato, and A. Majda (Remarks on the breakdown of smooth solutions for the 3-dimensional Euler equations)
• Global solutions of the Navier-Stokes equations for multidimensional compressible flow with discontinuous initial data
• On blowup of classical solutions to the compressible Navier-Stokes equations
• Blow-up criterions of strong solutions to 3D compressible Navier-Stokes equations with vacuum
• 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
• Estimates near the boundary for solutions of elliptic partial differential equations satisfying general boundary conditions. I
• Blowup of smooth solutions to the compressible Navier-Stokes equation with compact density
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