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 Ω of ℝ³. A suitable solution concept and a corresponding solution theory is developed.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-23,
author = {Rainer Picard},
title = {The Stokes system in the incompressible case-revisited},
journal = {Banach Center Publications},
volume = {83},
year = {2008},
pages = {369-382},
zbl = {1154.35420},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-23}
}
Rainer Picard. The Stokes system in the incompressible case-revisited. Banach Center Publications, Tome 83 (2008) pp. 369-382. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc81-0-23/