The Navier-Stokes Problem in Thin or Long Tubes with Periodically Varying Cross-Sections
С. А. Назаров · ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik · 2000
The Navier-Stokes problem is considered in a semi-infinite quasicylinder with periodically varying cross-section as well as in a finite, but long domain of the same type. Asymptotics of solutions to both problems are constructed and justified with the help of a technique related to weighted spaces with detached asymptotics. The reformulation of the obtained results in the framework of the filtration theory is presented under the consideration of thin pipes and channels with coarse walls.