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On the steady non-Newtonian fluids in domains with noncompact boundaries

Analysis of PDEs 2016-11-24 v1

Abstract

In this paper, we study non-Newtonian fluids in a class of unbounded domains with noncompact boundaries. With respect to the resulting mathematical problems, we establish the global existence of solutions with arbitrary large flux under some suitable conditions, and meanwhile, show the uniqueness of the solutions when the flux is sufficiently small. Our results are an extension or an improvement of those obtained in some previous references.

Keywords

Cite

@article{arxiv.1611.07613,
  title  = {On the steady non-Newtonian fluids in domains with noncompact boundaries},
  author = {Jiaqi Yang and Huicheng Yin},
  journal= {arXiv preprint arXiv:1611.07613},
  year   = {2016}
}

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55 pages