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math.NA2025
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…
math.AP2025
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…
math.NA2025
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…