9 citations · 14 across the 24 of their papers we have counts for
9 papers · 1 filter
Thermal Transmission in a Film-Bulk Domain: Finite-Thickness Film and Thin-Film Limit
Ferdinando Auricchio, Mihaela Chiappetta, Andrea Poiatti +1
We investigate a thermal transmission problem in a domain composed of a film region and a bulk region coupled through an interface where temperature continuity and heat-flux balanc…
Global weak varifold solutions to Navier-Stokes/Mean Curvature Flow system
Andrea Poiatti
The Navier-Stokes/Mean Curvature Flow system describes a two-phase flow of incompressible, viscous and immiscible fluids separated by a sharp interface, whose evolution is governed…
De Giorgi varifold solutions to Mean Curvature Flow: a minimizing movements approach
Tim Laux, Andrea Poiatti
We propose an alternative existence proof of global weak solutions to mean curvature flow and volume preserving mean curvature flow. We prove for the first time for a minimizing mo…
Weak and strong solutions for a class of quasilinear Allen--Cahn systems
Harald Garcke, Tim Laux, Andrea Poiatti
We consider a quasilinear Allen--Cahn system which arises when the gradient energy term in the Ginzburg--Landau energy also contains zero order terms. Such systems offer significan…
Well-posedness and longtime behavior of the conserved Navier--Stokes--Allen--Cahn equations with unmatched viscosities and singular potential
Maurizio Grasselli, Christoph Hurm, Andrea Poiatti
We consider an incompressible Navier--Stokes system nonlinearly coupled with a conserved Allen--Cahn equation with a singular potential (e.g., of Flory--Huggins type). This model d…
Singularities in phase separation models: a spectral element approach for the nonlocal Cahn-Hilliard equation
Andrés Miniguano-Trujillo, Andrea Poiatti, Maurizio Grasselli +2
The nonlocal Cahn-Hilliard equation provides a natural extension of the classical model for phase separation by incorporating long-range interactions through a singular convolution…
Asymptotic stabilization of weak solutions to phase-field equations with non-degenerate mobility and singular potential
Maurizio Grasselli, Andrea Poiatti
A common paradigm in phase-field models with singular potentials is that global-in-time weak solutions converge to a single equilibrium only after undergoing asymptotic regularizat…
The Cahn--Hilliard--Darcy--Forchheimer system with surfactant: Existence and long-time behavior of global weak solutions
Maurizio Grasselli, Bohan Ouyang, Andrea Poiatti +1
We consider a diffuse-interface model for two-phase incompressible viscous flows with a soluble surfactant in a bounded porous medium. This hydrodynamic system consists of a Darcy-…
Long-time dynamics of a bulk-surface convective Cahn--Hilliard system: Pullback attractors and convergence to equilibrium
Patrik Knopf, Andrea Poiatti, Jonas Stange +1
We study the long-time dynamics of a bulk-surface convective Cahn--Hilliard system describing phase separation processes with bulk-surface interaction. The presence of convection t…