35 citations · 253 across the 16 of their papers we have counts for
3 papers · 1 filter
Equivalence between a time-fractional and an integer-order gradient flow: The memory effect reflected in the energy
Marvin Fritz, Ustim Khristenko, Barbara Wohlmuth
Time-fractional partial differential equations are nonlocal in time and show an innate memory effect. In this work, we propose an augmented energy functional which includes the his…
Time-fractional Cahn-Hilliard equation: Well-posedness, degeneracy, and numerical solutions
Marvin Fritz, Mabel L. Rajendran, Barbara Wohlmuth
In this paper, we derive the time-fractional Cahn-Hilliard equation from continuum mixture theory with a modification of Fick's law of diffusion. This model describes the process o…
Modeling and simulation of vascular tumors embedded in evolving capillary networks
Marvin Fritz, Prashant K. Jha, Tobias Köppl +3
In this work, we present a coupled 3D-1D model of solid tumor growth within a dynamically changing vascular network to facilitate realistic simulations of angiogenesis. Additionall…