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Stability and decay estimates of the 2D incompressible magneto-micropolar fluid system with partial viscosity on a flat strip

  • Dongxiang Chen,
  • Xiaoli Li

摘要

In this paper, the authors establish the stability and the explicit decay estimates of the 2D incompressible magneto-micropolar fluid equations without magnetic diffusion and zero spin viscosity on a flat strip \(\Omega :={\mathbb {T}}\times [0,1]\) Ω : = T × [ 0 , 1 ] under the assumption that Navier type condition being imposed. The results are obtained heavily based on some time-weight energy estimates and a bootstrap argument.