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math.AP2018
On the energy equality for the 3D Navier-Stokes equations
Luigi C. Berselli, Elisabetta Chiodaroli
In this paper we study the problem of energy conservation for the solutions of the initial boundary value problem associated to the 3D Navier-Stokes equations, with Dirichlet bound…
math.AP2018★ 12 cited
On the Reynolds time-averaged equations and the long-time behavior of Leray-Hopf weak solutions, with applications to ensemble averages
Luigi C. Berselli, Roger Lewandowski
We consider the three dimensional incompressible Navier-Stokes equations with non stationary source terms f chosen in a suitable space. We prove the existence of Leray-Hopf weak so…