Navier-Stokes equations with nonhomogeneous boundary conditions in a convex bi-dimensional domain

DOI10.1016/j.anihpc.2008.12.007zbMath1176.35128OpenAlexW1966538511MaRDI QIDQ732533

Vincent Girinon

Publication date: 9 October 2009

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/78923

zbMATH Keywords

compressible Navier-Stokes equationsglobal existence of weak solutionsinflow-outflow boundary conditions

Mathematics Subject Classification ID

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

Related Items (3)

Navier-Stokes equations with nonhomogeneous boundary conditions in a bounded three-dimensional domain ⋮ Kinetic equation method for problems of viscous gas dynamics with rapidly oscillating density distributions ⋮ Global well-posedness of the Navier-Stokes equations of an inhomogeneous fluid in the half-space with inflow boundary condition

Cites Work

• Compressible Navier-Stokes model with inflow-outflow boundary conditions
• Ordinary differential equations. An introduction to nonlinear analysis. Transl. from the German by Gerhard Metzen
• On the existence of globally defined weak solutions to the Navier-Stokes equations
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