On the behavior of solutions of the nonstationary Stokes system near the vertex of a cone
Vladimir Kozlov, J\"urgen Rossmann
TL;DR
This paper investigates the asymptotic behavior of solutions to the nonstationary Stokes system near the vertex of a three-dimensional cone, providing insights into their near-singularity properties.
Contribution
It analyzes the asymptotics of solutions to the nonstationary Stokes system in a cone, focusing on the behavior near the vertex, which is a novel aspect.
Findings
Asymptotic descriptions of solutions near the cone vertex
Characterization of singularities in the solutions
Insights into boundary behavior of the Stokes system
Abstract
The paper deals with the Dirichlet problem for the nonstationary Stokes system in a three-dimensional cone. The auhors study the asymptotics of the solutions near the vertex of the cone.
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