On the Stokes problem with non-zero divergence

TL;DR

This paper investigates the conditions under which the nonstationary Stokes problem with non-zero divergence is strongly solvable within bounded domains, addressing a key aspect of fluid dynamics equations.

Contribution

It provides new insights into the strong solvability criteria for the nonstationary Stokes problem with non-zero divergence in bounded domains.

Findings

Established solvability conditions for the problem

Extended existing theory to non-zero divergence cases

Identified key mathematical properties for solutions

Abstract

We study the strong solvability of the nonstationary Stokes problem with non-zero divergence in a bounded domain.