• Corpus ID: 207871054

Uniform Structural stability of Hagen-Poiseuille flows in a pipe

@article{Wang2019UniformSS,
  title={Uniform Structural stability of Hagen-Poiseuille flows in a pipe},
  author={Yun Wang and Chunjing Xie},
  journal={arXiv: Analysis of PDEs},
  year={2019}
}
In this paper, we prove the uniform nonlinear structural stability of Hagen-Poiseuille flows with arbitrary large fluxes in the axisymmetric case. This uniform nonlinear structural stability is the first step to study Liouville type theorem for steady solution of Navier-Stokes system in a pipe, which may play an important role in proving the existence of solutions for the Leray's problem, the existence of solutions of steady Navier-Stokes system with arbitrary flux in a general nozzle. A key… 
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