V. A. Galkin, “On a class of exact solutions to the incompressible Navier–Stokes system in a ball and a spherical layer”, Zh. Vychisl. Mat. Mat. Fiz., 2023, Volume 63, Number 6,Pages <nobr>1000

This article is cited in 3 papers

Partial Differential Equations

On a class of exact solutions to the incompressible Navier–Stokes system in a ball and a spherical layer

V. A. Galkin^ab

^a Surgut Branch, Scientific Research Institute for System Analysis, Russian Academy of Sciences, 628422, Surgut, Khanty-Mansi Autonomous Okrug (Yugra), Tyumen oblast, Russia
^b Surgut State University, 628422, Surgut, Khanty-Mansi Autonomous Okrug (Yugra), Tyumen oblast, Russia

Abstract: A class of exact solutions to the Navier–Stokes equations for rotational incompressible flows is obtained. A three-parameter family of solutions in a ball, spherical layers, and the entire space $\mathbb{R}_3$ is constructed.

Key words: incompressible fluid equations, exact solutions, exact solutions of the Navier–Stokes system.

UDC: 517.958

Received: 17.10.2022
Revised: 21.11.2022
Accepted: 13.01.2023

DOI: 10.31857/S004446692306008X