Publications
Additional links to my preprints can be found on arXiv.org and ResearchGate. My published work can also be tracked on Scopus, Google Scholar, and ORCID.
Preprints
- Tumor evolution models of phase-field type with nonlocal effects and angiogenesis
Submitted
Links: TBA
Peer-Reviewed Scientific Articles
- Equivalence between a time-fractional and an integer-order gradient flow: The memory effect reflected in the energy
with Ustim Khristenko and Barbara 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 Tobias Köppl, J. Tinsley Oden, Andreas Wagner, Barbara Wohlmuth and Chengyue 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 Mabel L. Rajendran and Barbara Wohlmuth
Computers & Mathematics with Applications (2022)
Links: Preprint & Journal
- On a subdiffusive tumour growth model with fractional time derivative
with Christina Kuttler, Mabel L. Rajendran, Laura Scarabosio and Barbara Wohlmuth
IMA Journal of Applied Mathematics (2021)
Links: Preprint & Journal
- Modeling and simulation of vascular tumors embedded in evolving capillary networks
with Prashant K. Jha, Tobias Köppl, J. Tinsley Oden, Andreas Wagner and Barbara 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 Prashant K. Jha, Tobias Köppl, J. Tinsley Oden, Andreas Wagner, Barbara 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 Ernesto Lima, Vanja Nikolić, J. Tinsley Oden and Barbara 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 Ernesto Lima, J. Tinsley Oden and Barbara 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 Vanja Nikolić and Barbara 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)
Links: MediaTUM
The recent existence proofs of the Navier-Stokes equations
Master’s Thesis, Technical University of Munich (2017)
On the stability of relative equilibria in vortex dynamics
Bachelor’s Thesis, Technical University of Munich (2015)