Asymptotic Analysis of Steady and Nonsteady Navier-Stokes Equations for Barotropic Compressible Flow

作者：Vodak Rostislav^*

来源：Acta Applicandae Mathematicae, 2010, 110(2): 991-1009.

DOI：10.1007/s10440-009-9490-9

• Navier-Stokes equations
• Asymptotic analysis
• Channels

We study the asymptotic behavior of solutions to steady and nonsteady Navier-Stokes equations for barotropic compressible fluids with slip boundary conditions in small channels whose diameters converge to zero. We also derive the corresponding asymptotic one-dimensional equations and we analyze the sets, where L (1)-weak convergence of the pressure terms fails.

• 出版日期2010-5