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Chenyin Qian

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Articles

Global Solvability for 3D Incompressible Inhomogeneous Micropolar System in Critical Spaces

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By Yelei Guo, Ting Zhang, Xiaole Zheng, Chenyin Qian
| Wiley Online Library Verified
In this paper, we investigate the 3D inhomogeneous incompressible micropolar system with the initial density being discontinuous and the initial velocity possessing critical regularity. Assuming that is close to a positive constant, we obtain the global existence and uniqueness of the solution if is small in . The key ingredient in the proof lies in a new maximal regularity estimate for the generalized heat equation in Lorentz space.
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