Publications

For a complete list of my work, including preprints and citations, see my profiles on arXiv, ResearchGate, and Google Scholar.

Preprints

This section lists submitted manuscripts currently available as preprints.

19. Analysis and discretization of the Ohta-Kawasaki equation with forcing and degenerate mobility
    with A. Brunk
    Submitted (2024)
    Links: Preprint
    

    ---

18. Stabilization to trajectories of nonisothermal Cahn-Hilliard equations
    with B. Azmi and S. Rodrigues
    Submitted (2024)
    Links: Preprint
    

    ---

17. Well-posedness, long-time behavior, and discretization of some models of nonlinear acoustics in velocity-enthalpy formulation
    with H. Egger
    Submitted (2024)
    Links: Preprint
    

    ---

16. Analysis and computations of a stochastic Cahn-Hilliard model for tumor growth with chemotaxis and variable mobility
    with L. Scarpa
    Submitted (2023)
    Links: Preprint
    

    ---

Peer-Reviewed Scientific Articles

Below are my published works in peer-reviewed journals, including research on PDE applications in areas such as nonlinear acoustics, tumor growth, and fractional dynamics.

15. Structure-preserving approximation of the Cahn-Hilliard-Biot system
    with A. Brunk
    Numerical Methods for Partial Differential Equations (2024)
    Links: Preprint & Journal
    

    ---

14. On the well-posedness of the Cahn-Hilliard-Biot model and its applications to tumor growth
    Discrete and Continuous Dynamical Systems - S (2024)
    Links: Preprint & Journal
    

    ---

13. 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
    

    ---

12. 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
    

    ---

11. 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
    

    ---

10. Tumor evolution models of phase-field type with nonlocal effects and angiogenesis
    Bulletin of Mathematical Biology (2023)
    Links: Preprint & Journal
    

    ---

9. 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
   

   ---

8. 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
   

   ---

7. 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
   

   ---

6. 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
   

   ---

5. 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
   

   ---

4. 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
   

   ---

3. 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
   

   ---

2. 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
   

   ---

1. 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

1. 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
   

   ---

2. The recent existence proofs of the Navier-Stokes equations
   Master's Thesis, Technical University of Munich (2017)
   Supervisor: Prof. Dr. Hans Wilhelm Alt
   
   

   ---

3. On the stability of relative equilibria in vortex dynamics
   Bachelor's Thesis, Technical University of Munich (2015)
   Supervisor: Prof. Dr. Jürgen Scheurle
   
   

   ---