On the Solvability of a Boundary Value Problem for a Two-Dimensional System of Navier–Stokes Equations in a Truncated Cone
Jenaliyev M.T. Yergaliyev M.G.
August 2023Pleiades Publishing
Lobachevskii Journal of Mathematics
2023#44Issue 83309 - 3322 pp.
Abstract: The paper is devoted to the problems of solvability in Sobolev classes of the boundary value problem for a two-dimensional system of Navier–Stokes equations in a non-cylindrical domain represented by a truncated cone. A special basis consisting of eigenfunctions of one spectral problem is constructed. Using the methods of a priori estimates and Faedo–Galerkin, we prove theorems about the existence and uniqueness of the solution to the boundary value problem under consideration, and its regularity with increasing the smoothness of the given functions.
2-D system of Navier–Stokes equations , truncated cone
Text of the article Перейти на текст статьи
Institute of Mathematics and Mathematical Modeling, Almaty, 050010, Kazakhstan
Institute of Mathematics and Mathematical Modeling
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026