\(L^p\)-estimates for the Navier-Stokes equations for steady compressible flow

DOI10.1007/s00229-004-0513-6zbMath1072.35143OpenAlexW1996412907MaRDI QIDQ1772061

Jens Frehse, Sonja Goj, Mark Steinhauer

Publication date: 15 April 2005

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-004-0513-6

zbMATH Keywords

compressible fluidsestimate of pressure and kinetic energy

Mathematics Subject Classification ID

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

Related Items (9)

Renormalized weak solutions to the three-dimensional steady compressible magnetohydrodynamic equations ⋮ Inhomogeneous boundary value problems for compressible Navier-Stokes and transport equations ⋮ The Dirichlet problem for steady viscous compressible flow in three dimensions ⋮ Weak solutions to the three-dimensional steady full compressible Navier-Stokes system ⋮ A Phragmén-Lindelöf alternative result for the Navier-Stokes equations for steady compressible viscous flow ⋮ STEADY NAVIER–STOKES–FOURIER SYSTEM WITH SLIP BOUNDARY CONDITIONS ⋮ Steady compressible Navier-Stokes-Fourier system for monoatomic gas and its generalizations ⋮ Existence of weak solutions to the three-dimensional steady compressible Navier-Stokes equations ⋮ Existence of strong solutions to the steady Navier-Stokes equations for a compressible heat-conductive fluid with large forces

Cites Work

• On the existence of weak solutions to the steady compressible Navier-Stokes equations when the density is not square integrable.
• On the existence of globally defined weak solutions to the Navier-Stokes equations
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