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A lemma on the higher integrability of functions with applications to the regularity theory of two-dimensional generalized Newtonian fluids

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Abstract.

In this paper we prove a lemma on the higher integrability of functions and discuss its applications to the regularity theory of two-dimensional generalized Newtonian fluids.

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Authors and Affiliations

  1. Department of Mathematics, Saarland University, P.O. Box 15 11 50, 66041, Saarbrücken, Germany

    Michael Bildhauer & Martin Fuchs

  2. Department of Mathematics and Statistics, University of Jyväskylä, P.O. Box 35, 40014, University of Jyväskylä, Finland

    Xiao Zhong

Authors
  1. Michael Bildhauer
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  2. Martin Fuchs
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  3. Xiao Zhong
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Corresponding author

Correspondence to Michael Bildhauer.

Additional information

Mathematics Subject Classification (2000): 76M30, 49N60, 35J50, 35Q30

Acknowledgement Part of this work was done when X.Z. visited the Department of Mathematics, Saarland University, Germany, in June of 2003. He would like to thank the institute for the hospitality. X.Z. was partially supported by the Academy of Finland, project 207288.

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Bildhauer, M., Fuchs, M. & Zhong, X. A lemma on the higher integrability of functions with applications to the regularity theory of two-dimensional generalized Newtonian fluids. manuscripta math. 116, 135–156 (2005). https://doi.org/10.1007/s00229-004-0523-4

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  • DOI: https://doi.org/10.1007/s00229-004-0523-4

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