Here you can find links to my publications in peer-reviewed journals and book contributions, as well as their arxiv versions.

Preprints

Journal Articles and Book Contributions

  1. Sparse optimal control of a phase field tumour model with mechanical effects
    with H. Garcke and A. Signori
    SIAM J. Control. Optim., 59:1555-1580 (2021)
    Open access

  2. Strong well-posedness and inverse identification problem of a non-local phase field tumor model with degenerate mobilities
    with S. Frigeri and A. Signori
    in European Jnl. Appl. Math. (2021)
    Open access

  3. Phase-field dynamics with transfer of materials: The Cahn-Hillard equation with reaction rate dependent dynamic boundary conditions
    with P. Knopf, C. Liu and S. Metzger
    in ESAIM: M2AN, 55:229-282 (2021)
    ArXiv preprint arXiv:2003.12983

  4. On a phase field model of Cahn-Hilliard type for tumour growth with mechanical effects.
    with H. Garcke and A. Signori
    in Nonlinear Anal. Real World Appl., 57:103192 (2021)
    ArXiv preprint arxiv:1912.01945

  5. Parameter identification via optimal control for a Cahn-Hilliard-chemotaxis system with a variable mobility.
    with C. Kahle
    in Appl. Math. Optim., 82:63--104 (2020)
    ArXiv preprint arxiv:1707.06853

  6. Convergence of a Robin boundary approximation for a Cahn-Hilliard system with dynamic boundary conditions.
    with P. Knopf
    in Nonlinearity 33:4191--4235 (2020)
    ArXiv preprint arxiv:1908.06124

  7. Weak and stationary solutions to a Cahn-Hilliard-Brinkman model with singular potentials and source terms.
    with M. Ebenbeck
    in Adv. Nonlinear Anal., 10:24--65 (2020)
    Open access

  8. Consistency of a phase field regularization for an inverse problem governed by a quasilinear Maxwell system.
    with I. Yousept
    in Inverse Problems, 36 (2020) 045011 (33pp)
    Open access

  9. Convergence to equilibrium for a bulk-surface Allen-Cahn system coupled through a Robin boundary condition.
    with H. Wu
    in Discrete Contin. Dyn. Syst., 40:147--1878 (2020)
    ArXiv preprint arxiv:1902.07020

  10. Phase field modelling of surfactants in multi-phase flow.
    with O.R.A. Dunbar and B. Stinner
    in Interface Free Bound., 21:495--547 (2019)
    ArXiv preprint arxiv:1810.12274

  11. Bayesian parameter identification in Cahn-Hilliard models for biological growth.
    with C. Kahle, J. Latz and E. Ullmann
    in SIAM/ASA J. Uncertainty Quantification, 7:526--552 (2019)
    ArXiv preprint arxiv:1805.03304

  12. On a coupled bulk-surface Allen-Cahn system with non-trivial transmission condition and its approximation by a Robin boundary condition.
    with P. Colli and T. Fukao
    in Nonlinear Anal., 184:116--147 (2019)
    ArXiv preprint arxiv:1803.0829

  13. A phase field approach to shape optimization in Navier--Stokes flow with integral state constraint.
    with H. Garcke, M. Hinze and C. Kahle
    in Adv. Comput. Math., 44(5):1345--1383 (2018)
    ArXiv preprint arxiv:1702.03855

  14. Optimal control of treatment time in a diffuse interface model of tumor growth.
    with H. Garcke and E. Rocca
    in Appl. Math. Optim., 78:495--544 (2018)
    ArXiv preprint arxiv:1608.00488

  15. Cahn-Hlliard inpainting with double obstacle potential.
    with H. Garcke and V. Styles
    in SIAM J. Imaging Sci., 11(3):2064--2089 (2018)
    ArXiv preprint arxiv:1801.05527

  16. On a multi-species Cahn-Hilliard-Darcy tumor growth model with singular potentials.
    with S. Frigeri, E. Rocca and G. Schimperna
    in Commun. Math. Sci., 16(3):821--856 (2018)
    ArXiv preprint arxiv:1709.01469

  17. Thermodynamically consistent Navier--Stokes--Cahn--Hilliard models with mass transfer and chemotaxis.
    with H. Wu
    in European J. Appl. Math., 29(4):595--644 (2018)
    ArXiv preprint arxiv:1702.06014

  18. A Hele-Shaw-Cahn-Hilliard model for incompressible two-phase flows with different densities.
    with L. Dedè and H. Garcke
    in J. Math. Fluid Mech., 20(2):531--567 (2018)
    ArXiv preprint arxiv:1701.05070

  19. On a Cahn-Hilliard-Darcy system for tumour growth with solution dependent source terms.
    with H. Garcke
    in E. Rocca, U. Stefanelli, L. Truskinovsky and A. Visintin (editors),
    Trends in Applications of Mathematics to Mechanics. Springer INdAM Series, vol 27, pages 243-264 Springer International Publishing.
    ArXiv preprint arxiv:1611.00234

  20. A multiphase Cahn-Hilliard-Darcy model for tumour growth with necrosis.
    with H. Garcke, R. Nürnberg and E. Sitka
    in Math. Models Methods Appl. Sci., 28(3):525--577 (2018)
    ArXiv preprint arxiv:1701.06656

  21. On a diffuse interface model for tumour growth with non-local interactions and degenerate mobilities
    with S. Frigeri and E. Rocca
    in P. Colli, A. Favini, E. Rocca, G. Schimperna and J. Sprekels (editors),
    Solvability, Regularity, Optimal Control of Boundary Value Problems for PDEs. Springer INdAM Series, Springer Milan, 2017.
    ArXiv preprint arxiv:1703.03553

  22. Two-phase flow with surfactants: Diffuse interface models and their analysis.
    with H. Abels, H. Garcke and J. Weber
    in D. Bothe and A. Reusken (editors),
    Transport Processes at Fluidic Interfaces. Advances in Mathematical Fluid Mechanics, pages 255-270. Birkhäumluser, Cham.
    ArXiv preprint arxiv:1610.08221 (with more details on the formal asymptotic analysis).

  23. Analysis of a Cahn-Hilliard system with non-zero Dirichlet conditions modeling tumor growth with chemotaxis.
    with H. Garcke
    in Discrete Contin. Dyn. Syst., 37(8):4277--4308, (2017).
    ArXiv preprint arxiv:1604.00287

  24. Well-posedness of a Cahn-Hilliard system modelling tumour growth with chemotaxis and active transport.
    with H. Garcke
    in European J. Appl. Math., 28(2):284--316, (2017).
    ArXiv preprint arxiv:1511.06143.

  25. Global weak solutions and asymptotic limits of a Cahn-Hilliard-Darcy system modelling tumour growth.
    with H. Garcke
    in AIMS Mathematics, 1(3):318--360, (2016).
    ArXiv preprint arxiv:1608.08758 .

  26. Shape optimization for surface functionals in Navier-Stokes flow using a phase field approach.
    with H. Garcke, C. Hecht, M. Hinze and C. Kahle
    in Interface Free Bound., 18(2):219--261, (2016).
    ArXiv preprint arXiv:1504.06402.

  27. A Cahn-Hilliard-Darcy model for tumour growth with chemotaxis and active transport.
    with H. Garcke, E. Sitka and V. Styles
    in Math. Models Methods Appl. Sci., 26(6):1095--1148, (2016).
    ArXiv preprint arXiv:1508.00437.

  28. Analysis of the diffuse domain approach to a bulk-surface coupled PDE system.
    with H. Abels and B. Stinner
    in SIAM J. Math. Anal., 47(5):3687--3725, (2015).
    ArXiv preprint arXiv:1502.04902 (with more details on other boundary conditions).

  29. Diffuse interface modelling of soluble surfactants in two-phase flow.
    with H. Garcke and B. Stinner
    in Commun. Math. Sci., 12(8):1475--1522, (2014).
    ArXiv preprint arXiv:1303.2559.

  30. Accuracy and Stability of Filters for Dissipative PDEs.
    with C.E.A. Brett, K.J.H. Law, D.S. McCormick, M.R. Scott and A.M. Stuart
    in Phys. D, 245:34--45, (2013).
    ArXiv preprint arXiv:1203.5845.