For 3D inhomogeneous incompressible micropolar equations with power-law density-dependent transport coefficients, global strong solutions and exponential decay hold whenever the initial density is bounded below by a sufficiently large constant.
Global well-posedness for 3D nonhomogeneous micropolar fluids with density-dependent viscosity.Bull
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Global well-posedness and exponential decay of strong solution for the three-dimensional inhomogeneous incompressible micropolar equations with density-dependent transport coefficients and large initial data
For 3D inhomogeneous incompressible micropolar equations with power-law density-dependent transport coefficients, global strong solutions and exponential decay hold whenever the initial density is bounded below by a sufficiently large constant.