English

Global existence of weak solution for the 2-D Ericksen-Leslie system

Analysis of PDEs 2013-06-05 v3

Abstract

We prove the global existence of weak solution for two dimensional Ericksen-Leslie system with the Leslie stress and general Ericksen stress under the physical constrains on the Leslie coefficients. We also prove the local well-posedness of the Ericksen-Leslie system in two and three spatial dimensions.

Keywords

Cite

@article{arxiv.1305.0622,
  title  = {Global existence of weak solution for the 2-D Ericksen-Leslie system},
  author = {Meng Wang and Wendong Wang},
  journal= {arXiv preprint arXiv:1305.0622},
  year   = {2013}
}

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42 pages