5 papers
Stabilization to trajectories of nonisothermal Cahn-Hilliard equations
Behzad Azmi, Marvin Fritz, Sérgio S. Rodrigues
In this work, it is proven the semiglobal exponential stabilization to time-dependent trajectories of the nonisothermal Cahn-Hilliard equations. In the model, the input controls ar…
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…
Well-posedness and simulation of weak solutions to the time-fractional Fokker-Planck equation with general forcing
Marvin Fritz
In this paper, we investigate the well-posedness of weak solutions to the time-fractional Fokker-Planck equation. Its dynamics is governed by anomalous diffusion, and we consider t…
Tumor evolution models of phase-field type with nonlocal effects and angiogenesis
Marvin Fritz
In this survey article, a variety of systems modeling tumor growth are discussed. In accordance with the hallmarks of cancer, the described models incorporate the primary character…
A phase-field model for non-small cell lung cancer under the effects of immunotherapy
Andreas Wagner, Pirmin Schlicke, Marvin Fritz +4
Formulating tumor models that predict growth under therapy is vital for improving patient-specific treatment plans. In this context, we present our recent work on simulating non-sm…