IMECH-IR  > 流固耦合系统力学重点实验室
The energy equality for weak solutions to the equations of non-Newtonian fluids
Yang JQ
Source PublicationAPPLIED MATHEMATICS LETTERS
2019-02-01
Volume88Pages:216-221
ISSN0893-9659
AbstractIn 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.
KeywordNon-Newtonian fluids Weak solution Energy equality
DOI10.1016/j.aml.2018.09.008
Indexed BySCI ; EI
Language英语
WOS IDWOS:000448492700030
WOS Research AreaMathematics, Applied
WOS SubjectMathematics
Classification一类
Ranking1
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://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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