2 citations · 5 across the 13 of their papers we have counts for
14 papers
Threshold dynamics for subdiffusive grain growth
Marvin Fritz
We propose a new fractional threshold-dynamics algorithm for subdiffusive interface motion and apply it to multiphase grain-growth simulations. The method combines the L1 discretiz…
Generalised dissipative solutions for a non-isothermal phase-field system: existence, weak-strong uniqueness, and long-time behaviour
Aaron Brunk, Marvin Fritz
We study a thermodynamically consistent non-isothermal phase-field system coupling two order parameters and the inverse temperature through a fully non-diagonal Onsager mobility. T…
A four-field auxiliary reformulation of a Cahn-Hilliard time step: Analysis and conforming finite element discretization
Marvin Fritz
We propose a four-field auxiliary reformulation of a time-discrete Cahn-Hilliard step. The construction is motivated by the scalar trace structure underlying two-dimensional Rafets…
Structure-preserving discretization and fingering dynamics of a Cahn-Hilliard model for traction-driven digit morphogenesis
Marvin Fritz
We study a Cahn-Hilliard equation with anisotropic traction flux arising as a reduced continuum model of mechanically biased cell interactions in digit-forming organoids. For a reg…
Global weak solutions of a one-sided degenerate Cahn-Hilliard model for traction-driven digit morphogenesis
Marvin Fritz
We study a one-sided degenerate Cahn-Hilliard equation with anisotropic traction flux, arising as a reduced continuum description of mechanically biased cell interactions in digit-…
An Allen-Cahn equation with jump-diffusion noise for biological damage and repair processes
Andrea Di Primio, Marvin Fritz, Luca Scarpa +1
This paper analyzes a stochastic Allen--Cahn equation for the dynamics of biomolecular damage and repair. The system is driven by two distinct noise processes: a multiplicative cyl…
Review of thermodynamic structures and structure-preserving discretisations of Cahn--Hilliard-type models
Aaron Brunk, Marco F. P. ten Eikelder, Marvin Fritz +2
The Cahn-Hilliard equation and extensions, notably the Cahn-Hilliard-Darcy and Cahn-Hilliard-Navier-Stokes systems, provide widely used frameworks for coupling interfacial thermody…
A time-fractional Fisher-KPP equation for tumor growth: Analysis and numerical simulation
Marvin Fritz, Nikos I. Kavallaris
We study a time-fractional Fisher-KPP equation involving a Riemann-Liouville fractional derivative acting on the diffusion term, as derived by Angstmann and Henry (Entropy, 22:1035…
Unifying local and nonlocal corrosion frameworks: A convergent nonlocal extension of the KKS phase-field model
Christian J. Cyron, Marvin Fritz, Alexander Hermann +3
We introduce a nonlocal extension of the Kim-Kim-Suzuki (KKS) phase-field corrosion model aimed at bridging local and nonlocal corrosion modeling approaches, such as phase-field an…
Analysis and structure-preserving approximation of a Cahn-Hilliard-Forchheimer system with solution-dependent mass and volume source
Aaron Brunk, Marvin Fritz
We analyze a coupled Cahn-Hilliard-Forchheimer system featuring concentration-dependent mobility, mass source and convective transport. The velocity field is governed by a generali…
Analysis and discretization of the Ohta-Kawasaki equation with forcing and degenerate mobility
Aaron Brunk, Marvin Fritz
The Ohta-Kawasaki equation models the mesoscopic phase separation of immiscible polymer chains that form diblock copolymers, with applications in directed self-assembly for lithogr…
Structure-preserving approximation of the Cahn-Hilliard-Biot system
Aaron Brunk, Marvin Fritz
In this work, we propose a structure-preserving discretisation for the recently studied Cahn-Hilliard-Biot system using conforming finite elements in space and problem-adapted expl…
Analysis and computations of a stochastic Cahn-Hilliard model for tumor growth with chemotaxis and variable mobility
Marvin Fritz, Luca Scarpa
In this work, we present and analyze a system of PDEs, which models tumor growth by considering chemotaxis, active transport, and random effects. The stochasticity of the system is…
On the well-posedness of the Cahn-Hilliard-Biot model and its applications to tumor growth
Marvin Fritz
We study the Cahn-Hilliard-Biot model with respect to its mathematical well-posedness. The system models flow through deformable porous media in which the solid material has two ph…