The Stokes system in the incompressible case–revisited

Volume 81 / 2008

Rainer Picard Banach Center Publications 81 (2008), 369-382 MSC: Primary 35Q30, 76D07. DOI: 10.4064/bc81-0-23


The classical Stokes system is reconsidered and reformulated in a functional analytical setting allowing for low regularity of the data and the boundary. In fact the underlying domain can be any non-empty open subset $\Omega$ of $\mathbb{R}^{3}$. A suitable solution concept and a corresponding solution theory is developed.


  • Rainer PicardInstitut für Analysis
    FR Mathematik
    TU Dresden
    D-01069 Dresden, Germany

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