## 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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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