On strong solutions of the differential equations modeling the steady flow of certain incompressible generalized Newtonian fluids
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- by M. Bildhauer, M. Fuchs and X. Zhong
- St. Petersburg Math. J. 18 (2007), 183-199
- DOI: https://doi.org/10.1090/S1061-0022-07-00948-X
- Published electronically: March 16, 2007
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Abstract:
A system of nonautonomous partial differential equations describing the steady flow of an incompressible fluid is considered. The existence of a strong solution of that system is proved under suitable assumptions on the data. In the 2D-case this solution turns out to be of class $C^{1,\alpha }$.References
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Bibliographic Information
- M. Bildhauer
- Affiliation: Department of Mathematics, Saarland University, P.O. Box 15 11 50, D-66041 Saarbrücken, Germany
- Email: bibi@math.uni-sb.de
- M. Fuchs
- Affiliation: Department of Mathematics, Saarland University, P.O. Box 15 11 50, D-66041 Saarbrücken, Germany
- Email: fuchs@math.uni-sb.de
- X. Zhong
- Affiliation: Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, FIN-40014 University of Jyväskylä, Finland
- Email: zhong@maths.jyu.fi
- Received by editor(s): October 31, 2005
- Published electronically: March 16, 2007
- © Copyright 2007 American Mathematical Society
- Journal: St. Petersburg Math. J. 18 (2007), 183-199
- MSC (2000): Primary 76M30, 76B03, 35Q35
- DOI: https://doi.org/10.1090/S1061-0022-07-00948-X
- MathSciNet review: 2244934