### 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.

Original language | English |
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Pages (from-to) | 275-292 |

Number of pages | 18 |

Journal | Journal of Mathematical Fluid Mechanics |

Volume | 16 |

Issue number | 2 |

DOIs | |

Publication status | Published - 2014 Jun |

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### All Science Journal Classification (ASJC) codes

- Mathematical Physics
- Condensed Matter Physics
- Computational Mathematics
- Applied Mathematics

### Cite this

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*Journal of Mathematical Fluid Mechanics*, vol. 16, no. 2, pp. 275-292. https://doi.org/10.1007/s00021-013-0157-y

**Liouville theorem for the steady-state non-newtonian navier-stokes equations in two dimensions.** / Jin, Bum Ja; Kang, Kyungkeun.

Research output: Contribution to journal › Article

TY - JOUR

T1 - Liouville theorem for the steady-state non-newtonian navier-stokes equations in two dimensions

AU - Jin, Bum Ja

AU - Kang, Kyungkeun

PY - 2014/6

Y1 - 2014/6

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=84904660330&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84904660330&partnerID=8YFLogxK

U2 - 10.1007/s00021-013-0157-y

DO - 10.1007/s00021-013-0157-y

M3 - Article

AN - SCOPUS:84904660330

VL - 16

SP - 275

EP - 292

JO - Journal of Mathematical Fluid Mechanics

JF - Journal of Mathematical Fluid Mechanics

SN - 1422-6928

IS - 2

ER -