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On the Weak Solutions to Mixed Navier-Stokes-Darcy Model

Published 15 Aug 2016 in math.AP and math.NA | (1608.04610v2)

Abstract: In this paper, an a priori estimate of weak solutions to the mixed Navier-Stokes/Darcy model with Beavers-Joseph-Saffman's interface condition and the existence of a weak solution are established without the small data and/or the large viscosity restriction for the first time. Based on these results, the global uniqueness of the weak solution is obtained.

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Authors (2)

  1. Yanren Hou 
  2. Haibiao Zheng 

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