Remarks on the energy equality for the 3D Navier-Stokes equations
The authors consider the 3D Navier-Stokes equations and they study the energy conservation for solutions. By considering Leray-Hopf weak solutions, they obtain some new criteria for energy conservation, involving the gradient of the velocity. Then they compare the results with the existing literature in scaling invariant spaces and with the Onsager conjecture. Moreover, they work on the problem of energy conservation for very-weak solutions, showing energy equality for distributional solutions belonging to the so-called Shinbrot class. For the entire collection see [Zbl 1467.76003].
scientific article; zbMATH DE number 7391463
scientific article