On the nonstationary Stokes system in a cone: asymptotics of solutions at infinity

TL;DR

This paper investigates the behavior of solutions to the nonstationary Stokes system in a conical domain, establishing existence, uniqueness, and asymptotic properties of solutions at infinity in weighted Sobolev spaces.

Contribution

It provides new results on the existence, uniqueness, and asymptotic analysis of solutions to the nonstationary Stokes system in conical geometries.

Findings

Existence and uniqueness of solutions in weighted Sobolev spaces.

Asymptotic descriptions of solutions at infinity.

Analysis applicable to nonstationary Stokes problems in cones.

Abstract

The paper deals with the Dirichlet problem for the nonstationary Stokes system in a cone. The authors obtain existence and uniqueness results for solutions in weighted Sobolev spaces and study the asymptotics of the solutions at infinity.