Remarks on the energy equality for the non-Newtonian fluids

[摘要] By establishing some new trilinear estimates, we could show that a weak solution to the non-Newtonian fluids satisfies the energy equality, under some integrability conditions on the velocity or velocity gradient. This significantly extends (Yang (2019) [13]) for non-Newtonian fluids, and improves (Berselli and Chiodaroli (2018) [3]) for Newtonian fluids. (C) 2019 Elsevier Inc. All rights reserved.

[发布日期] 2019-12-15

[关键词] Non-Newtonian fluids;Weak solution;Energy equality