7 papers · 1 filter
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…
Nonlocal-to-local -convergence of convolution operators with singular, anisotropic kernels
Helmut Abels, Christoph Hurm, Patrik Knopf
We study nonlocal convolution-type operators with singular, possibly anisotropic kernels. Our main objective is to establish and quantify their nonlocal-to-local convergence to a l…
The stochastic nonlocal Cahn-Hilliard equation with regular potential and multiplicative noise
Andrea Di Primio, Christoph Hurm
In this work, we deal with the stochastic counterpart of the nonlocal Cahn-Hilliard equation with regular potential in a smooth bounded one-, two- or three-dimensional domain. The…
Convergence of the Nonlocal Allen-Cahn Equation to Mean Curvature Flow
Helmut Abels, Christoph Hurm, Maximilian Moser
We prove convergence of the nonlocal Allen-Cahn equation to mean curvature flow in the sharp interface limit, in the situation when the parameter corresponding to the kernel goes t…
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…
Nonlocal-to-Local Convergence for a Cahn-Hilliard Tumor Growth Model
Christoph Hurm, Maximilian Moser
We consider a local Cahn-Hilliard-type model for tumor growth as well as a nonlocal model where, compared to the local system, the Laplacian in the equation for the chemical potent…