The Stokes system in the incompressible case-revisited

Rainer Picard

Banach Center Publications (2008)

  • Volume: 81, Issue: 1, page 369-382
  • ISSN: 0137-6934

Abstract

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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.

How to cite

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Rainer Picard. "The Stokes system in the incompressible case-revisited." Banach Center Publications 81.1 (2008): 369-382. <http://eudml.org/doc/282248>.

@article{RainerPicard2008,
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 Ω of ℝ³. A suitable solution concept and a corresponding solution theory is developed.},
author = {Rainer Picard},
journal = {Banach Center Publications},
keywords = {incompressible Navier-Stokes equations; Stokes problem; Stokes initial value problem; Stokes operator; Sobolev lattices; PDAE},
language = {eng},
number = {1},
pages = {369-382},
title = {The Stokes system in the incompressible case-revisited},
url = {http://eudml.org/doc/282248},
volume = {81},
year = {2008},
}

TY - JOUR
AU - Rainer Picard
TI - The Stokes system in the incompressible case-revisited
JO - Banach Center Publications
PY - 2008
VL - 81
IS - 1
SP - 369
EP - 382
AB - 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.
LA - eng
KW - incompressible Navier-Stokes equations; Stokes problem; Stokes initial value problem; Stokes operator; Sobolev lattices; PDAE
UR - http://eudml.org/doc/282248
ER -

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