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math.AP2025
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…
math.AP2025
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…
math.NA2025★ 2 cited
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…