57 citations · 177 across the 48 of their papers we have counts for
52 papers
Pulsatile Flows for Simplified Smart Fluids with Variable Power-Law: Analysis and Numerics
Luigi C. Berselli, Alex Kaltenbach
We study the fully-developed, time-periodic motion of a shear-dependent non-Newtonian fluid with variable exponent rheology through an infinite pipe $Ω:= \mathbb{R}\times Σ\subsete…
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…
Error analysis for a fully-discrete finite element approximation of the unsteady -Stokes equations
Luigi C. Berselli, Alex Kaltenbach, Seungchan Ko
In this paper, we examine a fully-discrete finite element approximation of the unsteady -Stokes equations (, is time- and space-dependent), e…
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…