The Dirichlet Problem for the Nonstationary Stokes System in a Domain with Angular or Conical Points

The paper deals with the Dirichlet problem for the nonstationary Stokes system in a bounded two- or three-dimensional domain with angular or conical points on the boundary. The author proves the existence and uniqueness of solutions in weighted Sobolev spaces. The main result can also be used to obtain existence and uniqueness results in non-weighted spaces.

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Publication Details

Journal
Fluids
Published
2025-12-02
DOI
https://doi.org/10.3390/fluids10120320
Primary Topic
Advanced Mathematical Modeling in Engineering
Type
article
Field-Weighted Citation Impact
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article

The Dirichlet Problem for the Nonstationary Stokes System in a Domain with Angular or Conical Points

J. Roßmann
Fluids
Advanced Mathematical Modeling in Engineering
article

The Dirichlet Problem for the Nonstationary Stokes System in a Domain with Angular or Conical Points

J. Roßmann
article en

Abstract

The paper deals with the Dirichlet problem for the nonstationary Stokes system in a bounded two- or three-dimensional domain with angular or conical points on the boundary. The author proves the existence and uniqueness of solutions in weighted Sobolev spaces. The main result can also be used to obtain existence and uniqueness results in non-weighted spaces.

FluidsVol. 10(12)
University of Rostock (DE)
Openalex Percentile: Top 62%
Advanced Mathematical Modeling in Engineering
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