57 citations · 177 across the 48 of their papers we have counts for
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Convergence of the Euler-Voigt equations to the Euler equations in two dimensions
Stefano Abbate, Luigi C. Berselli, Gianluca Crippa +1
In this paper, we consider the two-dimensional torus and we study the convergence of solutions of the Euler-Voigt equations to solutions of the Euler equations, under several regul…
Energy conservation for weak solutions of incompressible Newtonian fluid equations in Hölder spaces with Dirichlet boundary conditions in the half-space
Luigi C. Berselli, Alex Kaltenbach, Michael Ružička
We investigate sufficient Hölder continuity conditions on Leray-Hopf (weak) solutions to the in unsteady Navier-Stokes equations in three dimensions guaranteeing energy conservatio…
Absence of anomalous dissipation for weak solutions of the Maxwell--Stefan system
Luigi C. Berselli, Stefanos Georgiadis, Athanasios E. Tzavaras
In this paper we give a short and self-contained proof of the fact that weak solutions to the Maxwell-Stefan system automatically satisfy an entropy equality, establishing the abse…
On a 3D Stokes eigenvalue problem under Navier slip-with-friction boundary conditions and applications to Navier-Stokes equations
Luigi C. Berselli, Alessio Falocchi, Rossano Sannipoli
In this paper we consider, by means of a precise spectral analysis, the 3D Navier-Stokes equations endowed with Navier slip-with-friction boundary conditions. We study the problem…
Energy conservation for 3D Euler and Navier-Stokes equations in a bounded domain. Applications to Beltrami flows
Luigi C. Berselli, Elisabetta Chiodaroli, Rossano Sannipoli
In this paper we consider the incompressible 3D Euler and Navier-Stokes equations in a smooth bounded domain. First, we study the 3D Euler equations endowed with slip boundary cond…
Velocity-vorticity geometric constraints for the energy conservation of 3D ideal incompressible fluids
Luigi C. Berselli, Rossano Sannipoli
In this paper we consider the 3D Euler equations and we first prove a criterion for energy conservation for weak solutions with velocity satisfying additional assumptions in fracti…