A PDF version of my CV including supervision experience can be downloaded here.
I supervise members of the Delft Institute of Applied Mathematics working on nonlinear (stochastic) partial differential equations. Below you can find information on the research of (former) team members that I supervised while affiliated at TU Delft or TU Munich and of myself while affiliated at TU Delft.
Current team members
Postdocs
King Ming Lam (postdoc, Delft University of Technology, since 11/2023, funded by NWO M-1 grant AnaCon), link to ArXiV preprints
PhD candidates
Francisco Gonçalves Jorge Dias de Carvalho (PhD candidate, since 10/2023, funded by NWO ENW Vidi grant)
Michele Precuzzi (PhD candidate, since 10/2023)
Joris van Winden (PhD candidate, "Dynamics of Patterns subject to Noise", Delft University of Technology, since 11/2022, funded by DIAM fast track scholarship), link to ArXiV preprints
BSc students
Minh-Quynh Tran (BSc thesis, "Traveling-Pulse Solutions to the FitzHugh-Nagumo Equations", Delft University of Technology, since 04/2025)
Alumni
Postdocs
Katerina Nik (postdoc, Delft University of Technology, 05/2024-11/2024, funded by NWO ENW Vidi grant), link to ArXiV preprints; Katerina has moved to a permanent position (Assistant Professor) at the King Abdullah University for Science and Technology (KAUST).
Marco Bravin (postdoc, Delft University of Technology, 05/2022-09/2023, funded by NWO M-1 grant AnaCon), link to ArXiV preprints, Google Scholar Profile, Marco has moved for a permanent position (Profesor Ayudante Doctor) at the University of Santander.
PhD candidates
Max Sauerbrey (PhD candidate, "Thin Films under Thermal Noise", Delft University of Technology, 11/2020-11/2024, Max obtained the Hannelore und Manfred J. Lenhart Namensstiftungs Prize of the TU Kaiserslautern), link to arXiv preprints, Max has moved to a postdoc position in the group Stochastic Partial Differential Equations at the Max Planck Institute for Mathematics in the Sciences (mentors: Benjamin Gess and Felix Otto).
MSc students
Joris van Winden (MSc thesis, "Orbital Stability of Patterns in Semilinear SPDE using a Multiscale Analysis", Delft University of Technology, 02/2022-09/2022), now PhD candidate at Delft University of Technology, link to ArXiV preprints
Floris Roodenburg (MSc thesis, "Strong Solutions to the Stokes Problem with Navier Slip on a Wedge", Delft University of Technology, 09/2021-07/2022), now PhD candidate at Delft University of Technology, link to arXiv preprint
Anouk Wisse (MSc thesis, "A semi-group approach to the thin-film equation with general mobility", Delft University of Technology, 09/2021-07/2022), now PhD candidate at Delft University of Technology, link to arXiv preprint
Rik Westdorp (MSc thesis, "A stochastic parametrically forced nonlinear Schrödinger equation", Delft University of Technology, 11/2020-08/2021), now PhD candidate at Leiden University, link to arXiv preprint
Jochem Hoogendijk (MSc thesis, "A moment extension of Lions' method for SPDEs", joint supervision with Mark C. Veraar, Delft University of Technology, 11/2020-08/2021), now PhD candidate at Utrecht University, link to arXiv preprint
BSc students
Yordi Boesveld (BSc thesis, "Self-Similar Solutions to the Thin-Film Equation", Delft University of Technology, 04/2025-06/2025)
Jasper Eenhoorn (BSc thesis, "On Existence and Uniqueness Results for some Nonlinear Schrödinger Equations", 04/2020-01/2023)
Zomer van Noord (BSc thesis, "The existence of traveling waves of the discrete Nagumo equation", Delft University of Technology, 04/2022-06/2022)
Asya Vural (BSc thesis "Self-similar solutions to the porous medium equation", Delft University of Technology, 04/2021-08/2021)
Anouk Wisse (BSc thesis "Tanner's law in the case of partial wetting", Delft University of Technology, 04/2020-07/2020), link to paper
Supervision at the Technical University of Munich (group of Christian Kuehn)
Katharina Eichinger (75% E13 predoctoral position at the Technical University of Munich, DFG project #334362478, joint supervision with Christian Kuehn, 05/2019-09/2019), link to paper
Anne Pein (PhD candidate of Christian Kuehn, PhD in 2021 at the Technical University of Munich), link to paper
Publications of team members (while affiliated with TU Delft or co-supervised at TU Munich, the latter in the group of Christian Kuehn)
T27) Gravity water waves over constant vorticity flows: From laminar flows to touching waves (Francisco Carvalho)
submitted, arXiv:2505.00417 (2025) (16 pages)
T26) Classical solutions to the thin-film equation with general mobility in the perfect-wetting regime (M.V.G. and Anouk C. Wisse)
J. Funct. Anal. 289(8):110941 (2025) (61 pages), arXiv:2310.20400 (2023/2025) (41 pages)
T25) Synchronization by noise for traveling pulses (Christian Kuehn and Joris van Winden)
submitted, arXiv.2501.13565 (2025) (28 pages)
T24) Solutions to the stochastic thin-film equation for the range of mobility exponents n∈(2,3) (Max Sauerbrey)
Stoch. Partial Differ. Equ.: Anal. Comput. (2025) (56 pages), https://arxiv.org/abs/2310.02765 (2024) (34 pages)
T23) Bernis estimates for higher-dimensional doubly-degenerate non-Newtonian thin-film equations (Christina Lienstromberg and Katerina Nik)
submitted, arXiv:2412.15883 (2024) (24 pages)
T22) Sharp supremum and Hölder bounds for stochastic integrals indexed by a parameter (Sonja Cox and Joris van Winden)
submitted, arXiv.2409.13615 (2024) (29 pages)
T21) Well-posedness of the Stokes equations on a wedge with Navier-slip boundary conditions (Marco Bravin, M.V.G., Hans Knüpfer, Nader Masmoudi, Floris B. Roodenburg, and Jonas Sauer)
submitted, arXiv:2407.15517 (2024) (49 pages)
T20) Noncommutative orbital stability of stochastic patterns in Banach spaces (Joris van Winden)
submitted, arXiv:2406.16642 (2024) (29 pages)
T19) Well-posedness to the stochastic thin-film equation with an interface potential (Antonio Agresti and Max Sauerbrey)
submitted, arXiv:2403.12652 (2024) (38 pages)
T18) Solitary waves in a stochastic parametrically forced nonlinear Schrödinger equation (M.V.G., Rik Westdorp, and Joris van Winden)
submitted, arXiv:2403.04625 (2024) (32 pages)
T17) Well-Posedness and Regularity of the Heat Equation with Robin Boundary Conditions in the Two-Dimensional Wedge (Marco Bravin, M.V.G., Hans Knüpfer, Nader Masmoudi, Floris B. Roodenburg, and Jonas Sauer)
Commun. Partial Differ. Equ., 50(9):1099–1134 (2025) (36 pages), arXiv:2411.04651 (2024) (26 pages)
T16) On the velocity of a small rigid body in a viscous incompressible fluid in dimension two and three (Marco Bravin and Šárka Nečasová)
J. Dyn. Differ. Equations 36, No. 4, 3109-3124 (2024) (16 pages), arXiv:2208.12351 (2022) (13 pages)
T15) Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two (Marco Bravin)
J. Evol. Equ. 24, No. 4, Paper No. 84 (2024) (29 pages), arXiv.2208.11166 (2022) (22 pages)
T14) Solutions to the stochastic thin-film equation for initial values with non-full support (Konstantinos Dareiotis, Benjamin Gess, M.V.G., and Max Sauerbrey)
to appear in Trans. Amer. Math. Soc., arXiv:2305.06017 (2023) (36 pages)
T13) Droplet motion with contact-line friction: long-time asymptotics in complete wetting (Lorenzo Giacomelli, M.V.G., and Dirk Peschka)
Proc. R. Soc. Lond. 479(2274) 1-23 Article ID: 20230090 (2023) (23 pages), arXiv.2302.03005 (2023) (20 pages)
T12) Fast rotating non-homogeneous fluids in thin domains and the Ekman pumping effect (Marco Bravin and Francesco Fanelli)
J. Math. Fluid Mech. 25, No. 4, Paper No. 83 (2023) (41 pages), arXiv:2205.14524 (2022) (42 pages)
T11) On the trajectory of a light small rigid body in an incompressible fluid (Marco Bravin and Šárka Nečasová)
J. Nonlinear Sci. 34, No. 3, Paper No. 42 (2024) (27 pages), arXiv:2211.15610 (2022) (21 pages)
T10) Higher order moments for SPDE with monotone nonlinearities (M.V.G., Jochem Hoogendijk, and Mark C. Veraar)
Stochastics 96(7) 1948-1983 (2024) (36 pages), arXiv:2203.15307 (2022) (30 pages)
T9) Martingale solutions to the stochastic thin-film equation in two dimensions (Max Sauerbrey)
Ann. Inst. H. Poincaré Probab. Statist. 60 (1) 373 - 412 (2024), arXiv:2108.05754 (2021) (39 pages)
T8) Dirichlet form analysis of the Jacobi process (Martin Grothaus and Max Sauerbrey)
Stoch. Process. Appl. 157 376-412 (2023) (37 pages); arXiv:2111.01693 (2022) (34 pages)
T7) Multiscale analysis for traveling-pulse solutions to the stochastic FitzHugh-Nagumo equations (M.V.G., Katharina Eichinger, and Christian Kuehn)
Ann. Appl. Probab. 32(5) 3229-3282 (2022) (54 pages); arXiv:2002.07234 (2021) (45 pages)
T6) The Cox-Voinov law for traveling waves in the partial wetting regime (M.V.G. and Anouk C. Wisse)
Nonlinearity 35(7) 3560 (2022) (33 pages); arXiv:2107.01974 (2022) (24 pages)
T5) Non-negative Martingale Solutions to the Stochastic Thin-Film Equation with Nonlinear Gradient Noise (M.V.G., Konstantinos Dareiotis, Benjamin Gess, and Günther Grün)
Arch. Rational Mech. Anal. 242(1) 179-234 (2021), link to view-only version (free of charge) (56 pages), arXiv:2012.04356 (2020) (50 pages)
T4) The stochastic thin-film equation: existence of nonnegative martingale solutions (M.V.G. and Benjamin Gess)
Stoch. Process. Appl. 130(12): 7260-7302 (2020) (43 pages); arXiv:1904.08951 (2020) (38 pages)
T3) Towards sample path estimates for fast-slow stochastic partial differential equations (M.V.G., Christian Kuehn, and Anne Pein)
European J. Appl. Math., 30(5): 1004-1024 (2019) (21 pages)
T2) Stability of receding traveling waves for a fourth order degenerate parabolic free boundary problem (M.V.G., Slim Ibrahim, and Nader Masmoudi)
Adv. Math., 347:1173 – 1243 (2019) (71 pages); arXiv:1704.06596 (2018) (54 pages)
T1) Variety of unsymmetric multibranched logarithmic vortex spirals (M.V.G. and Volker Elling)
European J. Appl. Math., 30(1):23–38 (2019) (16 pages)