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Global classical solutions to the compressible micropolar viscous fluids with large oscillations and vacuum
Authors:Canze Zhu  Qiang Tao
Institution:College of Mathematics and Statistics, Shenzhen University, Shenzhen, China
Abstract:In this paper, we consider the three dimensional Cauchy problem of the compressible micropolar viscous flows. We prove the existence of unique global classical solution for smooth initial data with small initial energy but possibly large oscillations and the initial density may allowed to contain the interior and far field vacuum states. Furthermore, the large time behavior of the solution is obtained as well.
Keywords:compressible micropolar viscous flow  global classical solution  large oscillations  small initial energy  vacuum states
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