Initial-boundary value problem for 2D micropolar equations without angular viscosity

Initial-boundary value problem for 2D micropolar equations without angular viscosity
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无角粘性的二维微极性方程的初边值问题

DOI:
10.4310/cms.2018.v16.n8.a5
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发表时间:
2017-05
影响因子:
1
通讯作者:
Shu Wang
Shu Wang
中科院分区:
数学4区
文献类型:
--
作者:
Jitao Liu;Shu Wang

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This paper concerns the initial-boundary value problem to 2D micropolar equations without angular viscosity in a smooth bounded domain. It is shown that such a system admits a unique and global weak solution. The main idea of this paper is to fully exploit the structure of this system and establish high order estimates via introducing an auxiliary field which is at the energy level of one order lower than micro-rotation.
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