The energy equality for weak solutions to the equations of non-Newtonian fluids | |
Yang JQ | |
Source Publication | APPLIED MATHEMATICS LETTERS |
2019-02-01 | |
Volume | 88Pages:216-221 |
ISSN | 0893-9659 |
Abstract | 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. |
Keyword | Non-Newtonian fluids Weak solution Energy equality |
DOI | 10.1016/j.aml.2018.09.008 |
Indexed By | SCI ; EI |
Language | 英语 |
WOS ID | WOS:000448492700030 |
WOS Research Area | Mathematics, Applied |
WOS Subject | Mathematics |
Classification | 一类 |
Ranking | 1 |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://dspace.imech.ac.cn/handle/311007/78462 |
Collection | 流固耦合系统力学重点实验室 |
Affiliation | {Yang, Jiaqi} Chinese Acad Sci, Inst Mech, Key Lab Mech Fluid Solid Coupling Syst, Beijing 100190, Peoples R China |
Recommended Citation 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. |
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