English

A Beale-Kato-Majda Blow-up Criterion for a Hydrodynamic System Modeling Vesicle and Fluid Interactions

Analysis of PDEs 2015-03-13 v1

Abstract

In this paper, we establish an analog of the Beale-Kato-Majda type criterion for singularities of smooth solutions of a hydrodynamic system modeling vesicle and fluid interactions. The result shows that the maximum norm of the vorticity alone controls the breakdown of smooth solutions.

Keywords

Cite

@article{arxiv.1208.3800,
  title  = {A Beale-Kato-Majda Blow-up Criterion for a Hydrodynamic System Modeling Vesicle and Fluid Interactions},
  author = {Jihong Zhao},
  journal= {arXiv preprint arXiv:1208.3800},
  year   = {2015}
}

Comments

16 pages