The Stokes system in the incompressible case–revisited
Volume 81 / 2008
Banach Center Publications 81 (2008), 369-382
MSC: Primary 35Q30, 76D07.
DOI: 10.4064/bc81-0-23
Abstract
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.