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

See also Google Scholar, BU Scholar, ORCID, Scopus, MATHSCINET and Researchgate

Recent preprints

Journal Articles and Book Contributions

  1. Complex pattern formation governed by a Cahn-Hilliard-Swift-Hohenberg system: Analysis and numerical simulations
    with H. Garcke, R. Nurnberg and A. Signori
    in Math. Models Methods Appl. Sci., 34 (2024) 2055--2097
    ArXiv preprint arXiv:2405.01947

  2. Stability and convergence of relaxed scalar auxiliary variable schemes for Cahn-Hilliard systems with bounded mass source
    with R. Wang
    in J. Numer. Math. 32 (2024) 233--255
    ArXiv preprint arxiv:2501.08543

  3. Phase field topology optimisation for 4D printing
    with H. Garcke, R. Nurnberg and A. Signori
    in ESAIM Control Optim. Cal. Var., 29 (2023) Article number: 24
    Open access
    Contribution to HKBU Sustainable Development Goals (SDG9: Industry, Innovation and Infrastructure)

  4. Overhang penalization in additive manufacturing via phase field structural topology optimization with anisotropic energies
    with H. Garcke, R. Nurnberg and A. Signori
    in Appl. Math. Optim., 87 (2023) Article number: 44
    Open access

  5. ReDisX, a machine learning approach, rationalizes RA and CAD patients uniquely upon identifying subpopulation differentiation markers from their genomic data
    with H. Yip, D. Chowdhury, K.Wang, Y. Liu, Y. Gao, L. Lan, C. Zheng, G. Daogang, H. Zhu, X.C. Tai and A. Lu
    in Front. Med., 9 (2022) 931860
    Open access

  6. 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., 33 (2022) 267--308
    Open access

  7. On the Existence of Strong Solutions to the Cahn-Hilliard-Darcy system with mass source
    with A. Giorgini, E. Rocca and G. Schimperna
    in SIAM J. Math. Anal., 54 (2022) 737--767
    ArXiv preprint arXiv:2009.13344

  8. Global and exponential attractors for a Cahn–Hilliard equation with logarithmic potentials and mass source
    J. Differential Equations, 312 (2022) 237--275
    Open access

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

  10. 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 (2021) 229--282
    ArXiv preprint arXiv:2003.12983

  11. 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 (2021) 103192
    ArXiv preprint arxiv:1912.01945

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

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

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

  15. 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

  16. 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 (2020) 1847--1878
    ArXiv preprint arxiv:1902.07020

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

  18. 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 (2019) 526--552
    ArXiv preprint arxiv:1805.03304

  19. On a coupled bulk-surface Allen-Cahn system with an affine linear transmission condition and its approximation by a Robin boundary condition.
    with P. Colli and T. Fukao
    in Nonlinear Anal., 184 (2019) 116--147
    ArXiv preprint arxiv:1803.08291

  20. 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 (2018) 1345--1383
    ArXiv preprint arxiv:1702.03855

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

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

  23. 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 (2018) 821--856
    ArXiv preprint arxiv:1709.01469

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

  25. 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 (2018) 531--567
    ArXiv preprint arxiv:1701.05070

  26. 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

  27. 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 (2018) 525--577
    ArXiv preprint arxiv:1701.06656

  28. 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

  29. 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).

  30. 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 (2017) 4277--4308
    ArXiv preprint arxiv:1604.00287

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

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

  33. 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 (2016) 219--261
    ArXiv preprint arXiv:1504.06402.

  34. 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 (2016) 1095--1148
    ArXiv preprint arXiv:1508.00437.

  35. 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 (2015) 3687--3725
    ArXiv preprint arXiv:1502.04902 (with more details on other boundary conditions).

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

  37. 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 (2013) 34--45
    ArXiv preprint arXiv:1203.5845.