Zobrazeno 1 - 10
of 223
pro vyhledávání: '"BERSELLI, LUIGI C."'
In this paper, we examine a fully-discrete finite element approximation of the unsteady $p(\cdot,\cdot)$-Stokes equations ($i.e.$, $p(\cdot,\cdot)$ is time- and space-dependent), employing a backward Euler step in time and conforming, discretely inf-
Externí odkaz:
http://arxiv.org/abs/2501.00849
We investigate sufficient H\"older continuity conditions on Leray-Hopf (weak) solutions to the in unsteady Navier-Stokes equations in three dimensions guaranteeing energy conservation. Our focus is on the half-space case with homogeneous Dirichlet bo
Externí odkaz:
http://arxiv.org/abs/2408.05077
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 absence of anomalous dissipation.
Externí odkaz:
http://arxiv.org/abs/2407.10134
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 in a very simple geometric situation as the region between two paralle
Externí odkaz:
http://arxiv.org/abs/2407.07496
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 conditions and we prove the same criteria for energy conservation involvin
Externí odkaz:
http://arxiv.org/abs/2405.09316
Autor:
Berselli, Luigi C., Sannipoli, Rossano
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 fractional Sobolev spaces with respect to the space variables, balanced by p
Externí odkaz:
http://arxiv.org/abs/2405.08461
Autor:
Berselli, Luigi C., Kaltenbach, Alex
In the present paper, we establish the well-posedness, stability, and (weak) convergence of a fully-discrete approximation of the unsteady $p(\cdot,\cdot)$-Navier-Stokes equations employing an implicit Euler step in time and a discretely inf-sup-stab
Externí odkaz:
http://arxiv.org/abs/2402.16606
Autor:
Berselli, Luigi C., Kaltenbach, Alex
In this paper, we examine a finite element approximation of the steady $p(\cdot)$-Navier-Stokes equations ($p(\cdot)$ is variable dependent) and prove orders of convergence by assuming natural fractional regularity assumptions on the velocity vector
Externí odkaz:
http://arxiv.org/abs/2311.00534
We consider the 3D Euler equations for incompressible homogeneous fluids and we study the problem of energy conservation for weak solutions in the space-periodic case. First, we prove the energy conservation for a full scale of Besov spaces, by exten
Externí odkaz:
http://arxiv.org/abs/2307.04410