Bulletin of the Korean Mathematical Society (대한수학회보)

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GLOBAL AXISYMMETRIC SOLUTIONS TO THE 3D NAVIER-STOKES-POISSON-NERNST-PLANCK SYSTEM IN THE EXTERIOR OF A CYLINDER

  • Zhao, Jihong (School of Mathematics and Information Science Baoji University of Arts and Sciences)
  • Received : 2020.06.18
  • Accepted : 2021.02.09
  • Published : 2021.05.31
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Abstract

In this paper we prove global existence and uniqueness of axisymmetric strong solutions for the three dimensional electro-hydrodynamic model based on the coupled Navier-Stokes-Poisson-Nernst-Planck system in the exterior of a cylinder. The key ingredient is that we use the axisymmetry of functions to derive the Lp interpolation inequalities, which allows us to establish all kinds of a priori estimates for the velocity field and charged particles via several cancellation laws.

Keywords

Acknowledgement

This work was financially supported by the National Natural Science Foundation of China (no. 11961030) and the Natural Science Foundation of Shaanxi Province (no. 2018JM1004).

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