9 citations · 14 across the 24 of their papers we have counts for
5 papers · 1 filter
Well-posedness and sharp interface limit of a non-isothermal Navier--Stokes/Allen--Cahn model
Helmut Abels, Alice Marveggio, Andrea Poiatti
We propose a thermodynamically consistent phase-field model for the flow of a mixture of two different viscous incompressible fluids of equal density in a bounded domain. We prove…
Convergence to equilibrium of weak solutions to the Cahn--Hilliard equation with non-degenerate mobility and singular potential
Maurizio Grasselli, Andrea Poiatti
We consider the classical initial and boundary value problem for the Cahn--Hilliard equation with non-degenerate mobility and singular (e.g., logarithmic) potential. We prove that…
Varifold solutions to Volume-Preserving Mean Curvature Flow: existence and weak-strong uniqueness
Andrea Poiatti
In this contribution we introduce a novel weak solution concept for two-phase volume-preserving mean curvature flow, having both properties of unconditional global-in-time existenc…
Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities
Helmut Abels, Andrea Poiatti
In this paper we consider the flow of two incompressible, viscous and immiscible fluids in a bounded domain, with different densities and viscosities. This model consists of a coup…
Weak solutions and sharp interface limit of the anisotropic Cahn-Hilliard equation with disparate mobility and inhomogeneous potential
Charles Elbar, Andrea Poiatti
We study the existence of weak solutions and the corresponding sharp interface limit of an anisotropic Cahn-Hilliard equation with disparate mobility, i.e., the mobility is degener…