The energy equality for weak solutions to the equations of non-Newtonian fluids
文献类型：期刊论文
| 作者 | Yang JQ |
| 刊名 | APPLIED MATHEMATICS LETTERS
 |
| 出版日期 | 2019-02-01 |
| 卷号 | 88页码:216-221 |
| 关键词 | Non-Newtonian fluids Weak solution Energy equality |
| ISSN号 | 0893-9659 |
| DOI | 10.1016/j.aml.2018.09.008 |
| 英文摘要 | In this short paper, we extend the result of Shinbrot (1974) to an incompressible fluid with shear dependent viscosity. It is shown that a weak solution to the equations of non-Newtonian fluids lying in a space L-q (0 ,T; L-p) satisfies an energy equality, where 2r/r-1 <= p <= 2r/r-2 and 1/p + 1/q <= r-1/r, if r > 2; p >= 2r/r-1 and r-1/p + 1/q = r-1/2, if 2(n+1) /n+2 < r <= 2. In particular, our result implies that the weak solution must satisfy the energy equality when r >= 3n+2/n+2, which is consistent with the known fact. (C) 2018 Elsevier Ltd. All rights reserved. |
| 分类号 | 一类 |
| WOS研究方向 | Mathematics, Applied |
| 语种 | 英语 |
| WOS记录号 | WOS:000448492700030 |
| 其他责任者 | Yang, JQ |
| 源URL | [http://dspace.imech.ac.cn/handle/311007/78462]  |
| 专题 | 力学研究所_流固耦合系统力学重点实验室(2012-) |
| 作者单位 | {Yang, Jiaqi} Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Yang JQ. The energy equality for weak solutions to the equations of non-Newtonian fluids[J]. APPLIED MATHEMATICS LETTERS,2019,88:216-221. |
| APA | Yang JQ.(2019).The energy equality for weak solutions to the equations of non-Newtonian fluids.APPLIED MATHEMATICS LETTERS,88,216-221. |
| MLA | Yang JQ."The energy equality for weak solutions to the equations of non-Newtonian fluids".APPLIED MATHEMATICS LETTERS 88(2019):216-221. |
入库方式： OAI收割
来源：力学研究所
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