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19922026
most citedCP2K: An Electronic Structure and Molecular Dynamics Software Package -- Quickstep: Efficient and Accurate Electronic Structure Calculations

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math.AP2025

Local Well-Posedness of the Cahn-Hilliard-Biot System

Helmut Abels, Jonas Haselböck

We show short-time well-posedness of a diffuse interface model describing the flow of a fluid through a deformable porous medium consisting of two phases. The system non-linearly c…

math.AP2025★ 1 cited

On a Cahn-Hilliard equation for the growth and division of chemically active droplets modeling protocells

Harald Garcke, Kei Fong Lam, Robert Nürnberg +1

The Cahn-Hilliard model with reaction terms can lead to situations in which no coarsening is taking place and, in contrast, growth and division of droplets occur which all do not g…

math.AP2025★ 1 cited

Derivation of a Multiscale Ferrofluid Model: Superparamagnetic Behavior due to Fast Spin Flip

Alexandre Girodoux-Lavigne, Richard M. Höfer

We consider a microscopic model of magnetic nanoparticles in a Stokes flow. We assume that the temperature is above the critical Néel temperature such that the particles' magne…

math.AP2024

Correction to Doi type models for suspensions

David Gérard-Varet, Richard M. Höfer

Starting from microscopic particle systems, we study the derivation of Doi type models for suspensions of non-spherical particles in Stokes flows. While Doi models accurately d…

math.AP2024★ 1 cited

Complex pattern formation governed by a Cahn-Hilliard-Swift-Hohenberg system: Analysis and numerical simulations

Harald Garcke, Kei Fong Lam, Robert Nürnberg +1

This paper investigates a Cahn-Hilliard-Swift-Hohenberg system, focusing on a three-species chemical mixture subject to physical constraints on volume fractions. The resulting syst…

math.AP2024

Analysis and Simulation of a Fluid-Heat System in a Thin, Rough Layer in Contact With a Solid Bulk Domain

Tom Freudenberg, Michael Eden

We investigate the effective coupling between heat and fluid dynamics within a thin fluid layer in contact with a solid structure via a rough surface. Moreover, the opposing vertic…