Construction of a Lyapunov functional for 1D-viscous compressible barotropic fluid equations admitting vacua

DOI10.1016/j.bulsci.2009.02.003zbMath1187.35158OpenAlexW2005535623MaRDI QIDQ966114

Patrick Penel, Ivan Straškraba

Publication date: 27 April 2010

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2009.02.003

zbMATH Keywords

Navier-Stokes equationsasymptotic behaviorcompressible fluid

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Gas dynamics (general theory) (76N15) Navier-Stokes equations (35Q30)

Cites Work

• Asymptotic behaviour of the density for one-dimensional Navier-Stokes equations
• On the zero-velocity-limit solutions to the Navier-Stokes equations of compressible flow
• Global properties of solutions to 1D-viscous compressible barotropic fluid equations with density dependent viscosity
• On a decay rate for 1D-viscous compressible barotropic fluid equations.
• Uniform boundedness of the solutions for a one-dimensional isentropic model system of compressible viscous gas
• Lyapunov analysis and stabilization to the rest state for solutions to the 1D-barotropic compressible Navier-Stokes equations
• Global behaviour of 1‐D viscous compressible barotropic flows with free boundary and self‐gravitation
• Stabilization of weak solutions to compressible Navier-Stokes equations
• On the static-limit solutions to the Navier-Stokes equations of compressible flow
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