Navier-Stokes Equations with Nonhomogeneous Boundary Conditions in a Bounded Three-Dimensional Domain

作者：Girinon Vincent^*

来源：Journal of Mathematical Fluid Mechanics, 2011, 13(3): 309-339.

DOI：10.1007/s00021-009-0018-x

• Compressible Navier-Stokes equations
• inflow-outflow boundary conditions
• global existence of weak solutions

Following the ideas developed in Girinon (Annales de l'Institut Poincar,. Analyse Non Lin,aire 26:2025-2053, 2009), we prove the existence of a weak solution to Navier-Stokes equations describing the isentropic flow of a gas in a bounded region, Omega subset of R(3), with nonhomogeneous Dirichlet boundary conditions on partial derivative Omega.

• 出版日期2011-9