9 citations · 14 across the 24 of their papers we have counts for
6 papers · 1 filter
Long-Time behavior of the tangential surface Navier-Stokes equation
Andrea Poiatti, Ulisse Stefanelli
We investigate the initial-value problem for the incompressible tangential Navier-Stokes equation with variable viscosity on a given two-dimensional surface without boundary. Exist…
Multi-component phase separation and small deformations of a spherical biomembrane
Diogo Caetano, Charles M. Elliott, Maurizio Grasselli +1
We focus on the derivation and analysis of a model for multi-component phase separation occurring on biological membranes, inspired by observations of lipid raft formation. The mod…
Diffuse Interface Model for Two-Phase Flows on Evolving Surfaces with Different Densities: Global Well-Posedness
Helmut Abels, Harald Garcke, Andrea Poiatti
We show existence and uniqueness of strong solutions to a Navier-Stokes/Cahn-Hilliard type system on a given two-dimensional evolving surface in the case of different densities and…
Diffuse Interface Model for Two-Phase Flows on Evolving Surfaces with Different Densities: Local Well-Posedness
Helmut Abels, Harald Garcke, Andrea Poiatti
A Cahn-Hilliard-Navier-Stokes system for two-phase flow on an evolving surface with non-matched densities is derived using methods from rational thermodynamics. For a Cahn-Hilliard…
Nonlocal-to-local convergence rates for strong solutions to a Navier-Stokes-Cahn-Hilliard system with singular potential
Christoph Hurm, Patrik Knopf, Andrea Poiatti
The main goal of this paper is to establish the nonlocal-to-local convergence of strong solutions to a Navier--Stokes--Cahn--Hilliard model with singular potential describing immis…
Structure-preserving neural networks in data-driven rheological models
Nicola Parolini, Andrea Poiatti, Julian Vene' +1
In this paper we address the importance and the impact of employing structure preserving neural networks as surrogate of the analytical physics-based models typically employed to d…