科研之友
微信
新浪微博
Facebook
分享链接
摘要
We show that a smooth solution u (0) of the Euler boundary value problem on a time interval (0, T (0)) can be approximated by a family of solutions of the Navier-Stokes problem in a topology of weak or strong solutions on the same time interval (0, T (0)). The solutions of the Navier-Stokes problem satisfy Navier's boundary condition, which must be "naturally inhomogeneous" if we deal with the strong solutions. We provide information on the rate of convergence of the solutions of the Navier-Stokes problem to the solution of the Euler problem for nu -> 0. We also discuss possibilities when Navier's boundary condition becomes homogeneous.
- 出版日期2013-3
