Alice Marveggio

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.



Upcoming research activities

Teaching activities

Past research activities (selected)

Past teaching activities

Curriculum vitae

Awards and fellowships

Theses

Publications and Preprints

  1. Convergence of a heterogeneous Allen-Cahn equation to weighted mean curvature flow, with L. Ganedi and K. Stinson, Submitted, 2024. Preprint: arXiv:2412.02567

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

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

  4. Quantitative convergence of the vectorial Allen-Cahn equation towards multiphase mean curvature flow, with J. Fischer, Ann. Inst. H. Poincaré Anal. Non Linéaire, 41(5):1117-1178, 2024. doi:10.4171/aihpc/109 Preprint: arXiv:2203.17143

  5. 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

  6. 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

Reports

  1. Stability of multiphase mean curvature flow beyond a circular topology change, with J. Fischer, S. Hensel, and M. Moser, Oberwolfach Reports, 21(1):428-431, 2024.



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