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On the dynamic instability of non-Newtonian fluids driven by gravity |
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| Authors: | Han Jiang Jialiang Wang Yajie Zhang |
| Affiliation: | 1. College of Mathematics and Statistics, Fuzhou University, Fuzhou, China Center for Applied Mathematics of Fujian Province, Fuzhou, China Key Laboratory of Operations Research and Control of Universities in Fujian, Fuzhou, China;2. College of Mathematics and Statistics, Fuzhou University, Fuzhou, China |
| Abstract: | In this paper, we investigate the instability for Rayleigh–Taylor problem of three-dimensional incompressible non-Newtonian fluids with Eills-type. If the density profile in equilibrium-state is heavier with increasing height, we prove that the equilibrium-state solution is unstable under -norm by exploiting a bootstrap method. |
| Keywords: | asymptotically stable classical solution equilibrium-state solution non-Newtonian fluids Rayleigh–Taylor instability |