Large time behavior to the system of incompressible non-Newtonian fluids in R |
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| Authors: | Boqing Dong Yongsheng Li |
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| Affiliation: | a School of Mathematics, Nankai University, Tianjing 300071, PR China
b Department of Applied Mathematics, South China University of Technology, Guangzhou, Guangdong 510640, PR China |
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| Abstract: | In this paper, the authors study the large time behavior for the weak solutions to a class system of the incompressible non-Newtonian fluids in R2. It is proved that the weak solutions decay in L2 norm at (1+t)−1/2 and the estimate for the decay rate is sharp in the sense that it coincides with the decay rate of a solution to the heat equation. |
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| Keywords: | Decay rate Weak solutions Non-Newtonian fluids |
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