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Liouville Theorem for the Steady-State Non-Newtonian Navier-Stokes Equations in Two Dimensions

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Abstract

We consider the Liouville type problem of stationary non-Newtonian Navier-Stokes equations in the plane. We prove that weak solutions become trivial for both cases of some shear thickening and thinning flows.

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Authors and Affiliations

  1. Department of Mathematics, Mokpo National University, Mokpo, Republic of Korea

    Bum Ja Jin

  2. Department of Mathematics, Yonsei University, Seoul, Republic of Korea

    Kyungkeun Kang

Authors
  1. Bum Ja Jin
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  2. Kyungkeun Kang
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Corresponding author

Correspondence to Kyungkeun Kang.

Additional information

Communicated by G.P. Galdi

Bum Ja Jin’s work was supported by NRF 2011-0007701 and Kyungkeun Kang’s work was supported by NRF-2009-0088692.

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Jin, B.J., Kang, K. Liouville Theorem for the Steady-State Non-Newtonian Navier-Stokes Equations in Two Dimensions. J. Math. Fluid Mech. 16, 275–292 (2014). https://doi.org/10.1007/s00021-013-0157-y

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  • DOI: https://doi.org/10.1007/s00021-013-0157-y

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