On the energy equality for solutions to Newtonian and non-Newtonian fluids
H. Beirão da Veiga, Jiaqi Yang
Abstract
Open-access reader
H. Beirão da Veiga, Jiaqi Yang
Abstract
Open-access reader
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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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.
Key concepts: Newtonian fluid, Non-Newtonian fluid, Interpretation (philosophy), Generalized Newtonian fluid, Compressibility, Physics, Energy (signal processing), Classical mechanics