6 citations · 6 across the 6 of their papers we have counts for
9 papers
A phase-field model for the Verigin problem: weak solutions and sharp-interface limit
Anna Kubin, Alice Marveggio
We introduce a novel phase-field model approximating the Verigin problem with phase transition. For fixed interface thickness , we construct weak solutions through a…
The Verigin problem with phase transition as a Wasserstein flow
Anna Kubin, Tim Laux, Alice Marveggio
We study the modeling of a compressible two-phase flow in a porous medium. The governing free boundary problem is known as the Verigin problem with phase transition. We introduce a…
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 of a heterogeneous Allen-Cahn equation to weighted mean curvature flow
Likhit Ganedi, Alice Marveggio, Kerrek Stinson
We consider a variational model for heterogeneous phase separation, based on a diffuse interface energy with moving wells. Our main result identifies the asymptotic behavior of the…
Stability of multiphase mean curvature flow beyond circular topology changes
Julian Fischer, Sebastian Hensel, Alice Marveggio +1
We prove a weak-strong uniqueness principle for varifold-BV solutions to planar multiphase mean curvature flow beyond a circular topology change: Assuming that there exists a class…
Weighted Inertia-Dissipation-Energy approach to doubly nonlinear wave equations
Goro Akagi, Verena Bögelein, Alice Marveggio +1
We discuss a variational approach to doubly nonlinear wave equations of the form . This approach hinges on the minimization of a parameter-depende…
Quantitative convergence of the vectorial Allen-Cahn equation towards multiphase mean curvature flow
Julian Fischer, Alice Marveggio
Phase-field models such as the Allen-Cahn equation may give rise to the formation and evolution of geometric shapes, a phenomenon that may be analyzed rigorously in suitable scalin…
Weak-strong uniqueness for the Navier-Stokes equation for two fluids with ninety degree contact angle and same viscosities
Sebastian Hensel, Alice Marveggio
We consider the flow of two viscous and incompressible fluids within a bounded domain modeled by means of a two-phase Navier-Stokes system. The two fluids are assumed to be immisci…
On a non-isothermal Cahn-Hilliard model based on a microforce balance
Alice Marveggio, Giulio Schimperna
This paper is concerned with a non-isothermal Cahn-Hilliard model based on a microforce balance. The model was derived by A. Miranville and G. Schimperna starting from the two fund…