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This is a Quantitative Study study.

October 13, 2025Open Access

The Dirichlet problem for the nonstationary Stokes system in a polygon

Puntos clave

Strong solutions exist for the Dirichlet problem in polygonal domains, addressing a key mathematical inquiry.
The proposed solutions belong to weighted Sobolev spaces, emphasizing a novel approach to the Dirichlet problem.
Weight functions are determined by the distance from corner points, enhancing solution accuracy.
This research contributes to the broader understanding of fluid dynamics through mathematical modeling.

Resumen

The author proves the existence of strong solutions of the Dirichlet problem for the nonstationary Stokes system in polygonal domain. Here, the solutions are elements of weighted Sobolev spaces, where the weight function is a power of the distance from the corner points.

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Cite This Study

Jürgen Roßmann (Mon,) studied this question.

synapsesocial.com/papers/68ece2abd1bb2827d12972a4 https://doi.org/https://doi.org/10.48550/arxiv.2503.01502

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