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Liouville-Type Theorems for Steady Flows of Degenerate Power Law Fluids in the Plane

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Abstract

We extend the Liouville-type theorems of Gilbarg and Weinberger and of Koch, Nadirashvili, Seregin and Sverák valid for the stationary variant of the classical Navier–Stokes equations in 2D to the degenerate power law fluid model.

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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 (MaD), 40014, Jyväskylä, Finland

    Guo Zhang

Authors
  1. Michael Bildhauer
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  2. Martin Fuchs
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  3. Guo Zhang
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Corresponding author

Correspondence to Martin Fuchs.

Additional information

Communicated by H. Beirão da Veiga

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Bildhauer, M., Fuchs, M. & Zhang, G. Liouville-Type Theorems for Steady Flows of Degenerate Power Law Fluids in the Plane. J. Math. Fluid Mech. 15, 583–616 (2013). https://doi.org/10.1007/s00021-012-0122-1

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  • DOI: https://doi.org/10.1007/s00021-012-0122-1

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