2 citations · 5 across the 13 of their papers we have counts for
6 papers · 1 filter
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…
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-…
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 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…