摘要

The nonsteady Navier-Stokes equations are considered in a thin infinite pipe with the small diameter epsilon in the case of the Reynolds number of order epsilon. The time-dependent flow rate is a given function. The complete asymptotic expansion is constructed and justified. The error estimate of order O(epsilon(J)) for the difference of the exact solution and the J-th asymptotic approximation is proved for any real J.

  • 出版日期2012