I am a Postdoc at the Hausdorff Center for Mathematics (HCM) under the mentorship of Prof. Sergio Conti and Prof. Tim Laux.
I obtained my PhD in Mathematics under the supervision of Prof. Julian Fischer at the Institute of Science and Technology Austria (ISTA).
My research interests lie at the intersection of partial differential equations and calculus of variations, with a particular focus on interface evolution problems arising in continuum mechanics.

• Winter Semester 2024: Hauptseminar Partielle Differentialgleichungen - Introduction to Variational Methods (together with Konstantinos Zemas).
• Summer Semester 2024: Selected Topics in PDE and Mathematical Models - Introduction to mean curvature flow (together with Kerrek Stinson).

• 18 - 22 November 2024. Research visit and speaker at the workshop Calculus of Variations and Free Boundary Problems IX at University of Pisa, Italy.

• 16 - 20 September 2024. Speaker at the Workshop “Calculus of Variations: a New Generation" in Bonn, Germany.
• 9 - 13 September 2024. Speaker at the Italian-Japanese Workshop on Variational Perspectives for PDEs in Pavia, Italy.
• 1 - 5 July 2024. Research visit at University of Regensburg and IntComSin Colloquium at FAU Erlangen-Nürnberg, Germany.
• 19 - 24 May 2024. Kerrek Stinson and I organized the minisymposium “Variational and Geometric Methods for Curvature and Elasticity" at the SIAM Conference for Mathematical Aspects of Materials Science, Pittsburgh, U.S.
• 11 - 16 February 2024. Oberwolfach Leibniz Graduate Student at the Oberwolfach Workshop Interfaces, Free Boundaries and Geometric Partial Differential Equations, Oberwolfach, Germany.
• 2 Feb. - 29 Mar. 2023. Participant in Hausdorff Trimester Program: Mathematics for Complex Materials, Hausdorff Research Institute for Mathematics (HIM), Bonn, Germany. YouTube video of my talk.
• 14 - 15 Sept. 2022. Invited speaker at Another Pisan workshop in Geometric Analysis, Centro De Giorgi, Pisa, Italy. YouTube video of my seminar talk.

• Oct. 2023 — present. Postdoc, Hausdorff Center for Mathematics, Bonn, Germany.
• Sept. 2019 — Sept. 2023. PhD student in Mathematics, ISTA, Klosterneuburg, Austria.
• Oct. 2017 — Jul. 2019. MSc in Theoretical and Mathematical Physics, University of Pavia, Italy.
• Oct. 2014 — Sept. 2019. Student, Institute for Advanced Study (IUSS), Pavia, Italy.
• Oct. 2014 — Sept. 2017. BSc in Physics, University of Pavia, Italy.

• Humboldt Research Fellowship (2 years), Bonn, Germany.
• Oberwolfach Leibniz Graduate Student (OWLG) at the workshop Interfaces, Free Boundaries and Geometric Partial Differential Equations, Oberwolfach, Germany.
• Premio di laurea Prof. Luigi Berzolari (2020-21 ed.), University of Pavia, Italy.
• Premio Credito Valtellinese - Arturo Schena (2019 ed.), Fondazione Gruppo Credito Valtellinese, Italy.
• Five-year IUSS study award (2014-19), IUSS, Pavia, Italy.

• PhD Thesis: Weak-strong stability and phase-field approximation of interface evolution problems in fluid mechanics and in material sciences. Supervisor: Prof. Julian Fischer.
• MSc Thesis: On a non-isothermal Cahn-Hilliard model based on a microforce balance. Supervisor: Prof. Giulio Schimperna.
• IUSS Thesis: Balance principles and laws in continuum mechanics: a geometric approach. Supervisor: Prof. Claudio Dappiaggi.
• BSc Thesis: Wave propagation for systems of conservation laws and its applications to fluid dynamics. Supervisor: Prof. Claudio Dappiaggi. Co-supervisor: Dr. Nicolò Drago.

1. Stability of multiphase mean curvature flow beyond circular topology changes, with J. Fischer, S. Hensel, and M. Moser, Preprint, 2024. Preprint: arXiv:2404.02884

2. Weighted Inertia-Dissipation-Energy approach to doubly nonlinear wave equations, with G. Akagi, V. Bögelein, and U. Stefanelli, Submitted, 2024. Preprint: arXiv:2401.08856

3. Quantitative convergence of the vectorial Allen-Cahn equation towards multiphase mean curvature flow, with J. Fischer, published online first in Ann. Inst. H. Poincaré Anal. Non Linéaire, 2024. doi:10.4171/aihpc/109 Preprint: arXiv:2203.17143

4. Weak-strong uniqueness for the two-phase Navier-Stokes equation for two fluids with ninety degree contact angle and same viscosities, with S. Hensel, J. Math. Fluid Mech., 24:93, 2022. doi:10.1007/s00021-022-00722-2 Preprint: arXiv:2112.11154

5. On a non-isothermal Cahn-Hilliard model based on a microforce balance, with G. Schimperna, J. Differential Equations, 274:924-970, 2021. doi:10.1016/j.jde.2020.10.030 Preprint: arXiv:2004.02618

1. Stability of multiphase mean curvature flow beyond circular topology changes, with J. Fischer, S. Hensel, and M. Moser, Oberwolfach Report (to appear), 2024.

• Email alice.marveggio (at) hcm.uni-bonn.de
• Office 2.063
• Postal address
  

  Institute for Applied Mathematics
  Endenicher Allee 60
  53115 Bonn
  Germany