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On the energy equality for solutions to Newtonian and non-Newtonian fluids (1901.02277v1)
Published 8 Jan 2019 in math.AP
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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