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On the energy equality for solutions to Newtonian and non-Newtonian fluids

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 01 Aug 2019Embargo end date: 01 Jan 2019Publisher:Elsevier BVJournal:Nonlinear Analysis, volume 185, pages 388-402 (issn: 0362-546X,

Authors: Hugo Beirão da Veiga; Jiaqi Yang;

doi: 10.1016/j.na.2019.03.022 , 10.48550/arxiv.1901.02277

arXiv: http://arxiv.org/abs/1901.02277

On the energy equality for solutions to Newtonian and non-Newtonian fluids

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Abstract

We are concerned with the energy equality for weak solutions to Newtonian and non-Newtonian incompressible fluids. In particular, the results obtained for non-Newtonian fluids, after restriction to the Newtonian case, equal or improve the known results. Furthermore, a new result below allows an interpretation of the classical Shinbrot condition, coherent to the more recent results in the literature.

12 pages

Related Organizations

Chinese Academy of Sciences
China (People's Republic of)
University of Pisa
Italy
Institute of Mechanics
China (People's Republic of)
Bulgarian Academy of Sciences
Bulgaria
Institute of Mechanics
Bulgaria

Keywords

35Q30, 76A05, 76D03, Mathematics - Analysis of PDEs, FOS: Mathematics, Analysis of PDEs (math.AP)

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