Group Members

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) group members that I supervised while affiliated at TU Delft or TU Munich and  of myself while affiliated at TU Delft.

Current/future group members

Postdocs

• King Ming Lam (postdoc, Delft University of Technology, since 11/2023, funded by NWO M-1 grant AnaCon), link to ArXiV preprints

• Katerina Nik (postdoc, Delft University of Technology, starting 05/2024, funded by NWO ENW Vidi grant), link to ArXiV preprints

PhD students

• Francisco Gonçalves Jorge Dias de Carvalho (PhD student, since 10/2023, funded by NWO ENW Vidi grant)

• Michele Precuzzi (PhD student, since 10/2023)

• Max Sauerbrey (PhD student, "On Probabilistically Weak Solutions to the Stochastic Thin-Film Equation", Delft University of Technology, since 11/2020, Max obtained the Hannelore und Manfred J. Lenhart Namensstiftungs Prize of the TU Kaiserslautern), link to ArXiV preprints

• Joris van Winden (PhD student, "Stability of Patterns in Stochastic Partial Differential Equations", Delft University of Technology, since 11/2022, funded by DIAM fast track scholarship), link to ArXiV preprints

Former group members

Postdocs

• 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) to the University of Santander.

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

• 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

• 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

• 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, since 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

• 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 student of Christian Kuehn, PhD in 2021 at the Technical University of Munich), link to paper

Publications of Group Members (while affiliated with TU Delft or co-supervised at TU Munich)

G21) Noncommutative orbital stability of stochastic patterns in Banach spaces (Joris van Winden)

    submitted, arXiv:2406.16642 (2024) (29 pages)

G20) Well-posedness to the stochastic thin-film equation with an interface potential (Antonio Agresti and Max Sauerbrey)

     submitted, arXiv:2403.12652 (2024) (38 pages)

G19) 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)

G18) Classical solutions to the thin-film equation with general mobility in the perfect-wetting regime (M.V.G. and Anouk C. Wisse)

    submitted, arXiv:2310.20400 (2023) (40 pages)

G17) Solutions to the stochastic thin-film equation for the range of mobility exponents n∈(2,3) (Max Sauerbrey)

     https://arxiv.org/abs/2310.02765 (34 pages)

G16) Solutions to the stochastic thin-film equation for initial values with non-full support (Konstantinos Dareiotis, Benjamin Gess, M.V.G., and Max Sauerbrey)

     submitted, arXiv:2305.06017 (2023) (36 pages)

G15) Droplet motion with contact-line friction: long-time asymptotics in complete wetting (Lorenzo Giacomelli, M.V.G., and Dirk Peschka)

     to appear in Proc. R. Soc. Lond., arXiv.2302.03005 (2023) (20 pages)

G14) On the trajectory of a light small rigid body in an incompressible fluid (Marco Bravin and Šárka Nečasová)

      arXiv:2211.15610 (2022) (21 pages)

G13) On the velocity of a small rigid body in a viscous incompressible fluid in dimension two and three (Marco Bravin and Šárka Nečasová)

      arXiv:2208.12351 (2022) (13 pages)

G12) Ad hoc test functions for homogenization of compressible viscous fluid with application to the obstacle problem in dimension two (Marco Bravin)

      arXiv.2208.11166 (2022) (22 pages)

G11) Fast rotating non-homogeneous fluids in thin domains and the Ekman pumping effect (Marco Bravin and Francesco Fanelli)

      arXiv:2205.14524 (2022) (42 pages)

G10) Higher order moments for SPDE with monotone nonlinearities (M.V.G., Jochem Hoogendijk, and Mark C. Veraar)

      submitted, arXiv:2203.15307 (2022) (30 pages)

G9) 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) 

G8) 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)

G7) 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)

G6) 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)

G5) 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)

G4) 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)

G3) 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)

G2) 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)

G1) Variety of unsymmetric multibranched logarithmic vortex spirals (M.V.G. and Volker Elling)

      European J. Appl. Math., 30(1):23–38 (2019) (16 pages)