Estimates of solutions to a perturbed Stokes system

Estimates of solutions to a perturbed Stokes system

Local estimates are derived for solutions to a perturbed Stokes system, which arises as a reduction of the Stokes system near a curved part of the boundary of the domain if a diffeomorphism flattening the boundary is applied. The estimates obtained in the paper play the crucial role in the investiga...

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Veröffentlicht in:Journal of mathematical sciences (New York, N.Y.) N.Y.), 2013-11, Vol.195 (1), p.1-12
Hauptverfasser: Vialov, V., Shilkin, T.
Format: Artikel
Sprache:eng
Schlagworte:
Mathematics
Mathematics and Statistics
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Zusammenfassung:Local estimates are derived for solutions to a perturbed Stokes system, which arises as a reduction of the Stokes system near a curved part of the boundary of the domain if a diffeomorphism flattening the boundary is applied. The estimates obtained in the paper play the crucial role in the investigation of the partial regularity of weak solutions to the Navier--Stokes system near the curved part of the boundary. Bibliography: 8 titles.
ISSN:1072-3374
1573-8795
DOI:10.1007/s10958-013-1560-x