Publications
Additional links to my preprints can be found on arXiv and ResearchGate. My published work can also be tracked on Google Scholar.
Preprints
- Analysis and computations of a stochastic Cahn-Hilliard model for tumor growth with chemotaxis and variable mobility
with L. Scarpa
Submitted (2023)
Links: Preprint
- On the well-posedness of the Cahn-Hilliard-Biot model and its applications to tumor growth
Submitted (2023)
Links: Preprint
Peer-Reviewed Scientific Articles
- Well-posedness and simulation of weak solutions to the time-fractional Fokker-Planck equation with general forcing
Discrete and Continuous Dynamical Systems - B (2024)
Links: Preprint & Journal
- Analysis of a dilute polymer model with a time-fractional derivative
with E. Süli and B. Wohlmuth
SIAM Journal on Mathematical Analysis (2024)
Links: Preprint & Journal
- A phase-field model for non-small cell lung cancer under the effects of immunotherapy
with C. Kuttler, J.T. Oden, P. Schlicke, C. Schumann, A. Wagner and B. Wohlmuth
Mathematical Biosciences and Engineering (2023)
Links: Preprint & Journal
- Tumor evolution models of phase-field type with nonlocal effects and angiogenesis
Bulletin of Mathematical Biology (2023)
Links: Preprint & Journal
- Equivalence between a time-fractional and an integer-order gradient flow: The memory effect reflected in the energy
with U. Khristenko and B. Wohlmuth
Advances in Nonlinear Analysis (2023)
Links: Preprint & Journal
- A 1D-0D-3D coupled model for simulating blood flow and transport processes in breast tissue
with T. Köppl, J.T. Oden, A. Wagner, B. Wohlmuth and C. Wu
International Journal for Numerical Methods in Biomedical Engineering (2022)
Links: Preprint & Journal
- Time-fractional Cahn-Hilliard equation: Well-posedness, degeneracy, and numerical solutions
with M.L. Rajendran and B. Wohlmuth
Computers & Mathematics with Applications (2022)
Links: Preprint & Journal
- On a subdiffusive tumour growth model with fractional time derivative
with C. Kuttler, M.L. Rajendran, L. Scarabosio and B. Wohlmuth
IMA Journal of Applied Mathematics (2021)
Links: Preprint & Journal
- Modeling and simulation of vascular tumors embedded in evolving capillary networks
with P.K. Jha, T. Köppl, J.T. Oden, A. Wagner and B. Wohlmuth
Computer Methods in Applied Mechanics and Engineering (2021)
Links: Preprint & Journal
- Analysis of a new multispecies tumor growth model coupling 3D phase-fields with a 1D vascular network
with P.K. Jha, T. Köppl, J.T. Oden, B. Wohlmuth
Nonlinear Analysis: Real World Applications (2020)
Links: Preprint & Journal
- Local and nonlocal phase-field models of tumor growth and invasion due to ECM degradation
with E.A.B.F. Lima, V. Nikolić, J.T. Oden and B. Wohlmuth
Mathematical Models and Methods in Applied Sciences (2019)
Links: Preprint & Journal
- On the unsteady Darcy-Forchheimer-Brinkman equation in local and nonlocal tumor growth models
with E.A.B.F. Lima, J.T. Oden and B. Wohlmuth
Mathematical Models and Methods in Applied Sciences (2019)
Links: Preprint & Journal
- Well-posedness and numerical treatment of the Blackstock equation in nonlinear acoustics
with V. Nikolić and B. Wohlmuth
Mathematical Models and Methods in Applied Sciences (2018)
Links: Preprint & Journal
Theses
Well-posedness of nonlocal and mixed-dimensional phase-field models applied to tumor growth
PhD Dissertation, Technical University of Munich (2022)
Supervisor: Prof. Dr. Barbara Wohlmuth
Links: MediaTUM
The recent existence proofs of the Navier-Stokes equations
Master’s Thesis, Technical University of Munich (2017)
Supervisor: Prof. Dr. Hans Wilhelm Alt
On the stability of relative equilibria in vortex dynamics
Bachelor’s Thesis, Technical University of Munich (2015)
Supervisor: Prof. Dr. Jürgen Scheurle