The Dirichlet problem for the nonstationary Stokes system in a polygon

2025/03/03 by Jürgen Roßmann, Rossmann, Jürgen
Computer Science · Engineering · Mathematics · #35B45 #35B65 #35K51 #35Q35 #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #Heat Transfer and Mathematical Modeling

paper · pdf · doi:10.48550/arxiv.2503.01502

openalex publication_date 2025/03/03 · openalex created_date 2025/10/12 · openalex updated_date 2026/07/28

Abstract

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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