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

Hugo Beirao da Veiga; Jiaqi Yang

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arXiv · 1901.02277

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

Hugo Beirao da Veiga·Jiaqi Yang

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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.

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Hugo Beirao da Veiga, Jiaqi Yang. 2019-01-08. On the energy equality for solutions to Newtonian and non-Newtonian fluids. https://arxiv.org/abs/1901.02277

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