Our proposal for an ESI Worskhop on Microstructures in Materials has been approved! The workshop will take place from November 16th to November 20th. https://www.esi.ac.at/events/e602/

New preprint on "Stability of the free boundary Willmore problem" by A. Dall'Acqua, F. Rupp, R. Schätzle, and M. Schlierf https://arxiv.org/abs/2601.18388

The paper "Multi-component phase separation and small deformations of a spherical biomembrane" by D. Caetano, C. M. Elliott, M. Grasselli, and A. Poiatti has been accepted for publication on Calculus of Variations and Partial Differential Equations https://arxiv.org/abs/2410.05492

New preprint on "A free boundary problem in accretive growth" by U. Stefanelli https://arxiv.org/abs/2601.08755

New preprint on "Well-posedness and sharp interface limit of a non-isothermal Navier—Stokes/Allen—Cahn model" by H. Abels, A. Marveggio, and A. Poiatti https://arxiv.org/abs/2511.11892

Our proposal for an ESI Graduate School on Analysis and Applications was approved! The school will take place from 22.06.2026 to 26.06.2026, and it will feature mini-courses by C. Kreisbeck (Eichstätt), A. Lemenant (Nancy), G. Savaré (Bocconi), and D. Tonon (Padua). Stay tuned for further details!

New preprint on "HJB equations driven by the Dirichlet-Ferguson Laplacian in Wasserstein-Sobolev spaces" by F. Delarue, M. Martini, and G. E. Sodini https://arxiv.org/abs/2511.03522

Applications are invited for 3 postdoc positions and 2 PhD-student positions in our research group: https://appliedmath.univie.ac.at/public/job_openings/

New preprint on "Convergence to equilibrium of weak solutions to the Cahn–Hilliard equation with non-degenerate mobility and singular potential" by M. Grasselli and A. Poiatti https://arxiv.org/abs/2510.17296

New preprint on "Adaptive double-phase Rudin–Osher–Fatemi denoising model" by W. Górny, M. Łasica, and A. Matsoukas https://arxiv.org/abs/2510.04382

New preprint on "Nonlocal coupling and mobility constraints in multi-component phase segregation: modeling, theory, and dynamics" by C. G. Gal, M. Grasselli, A. Poiatti, and J. L. Shomberg https://doi.org/10.13140/RG.2.2.36014.98889

New preprint on "Crystallization in the Winterbottom shape and sharp fluctuation laws" by M. Friedrich, L. Kreutz, and U. Stefanelli https://arxiv.org/abs/2509.05642

We are glad to share that the FWF announced today the approval of our project " Free boundary problems in accretive growth"! www.fwf.ac.at/en/research-radar/10.557...

New preprint on "Hausdorff dimension and failure of synthetic curvature bounds in the sub-Lorentzian Heisenberg group" by S. Borza, C. Rigoni, and O. Zoghlami https://arxiv.org/abs/2509.06563

New preprint on "Existence for accreting viscoelastic solids at large strains" by A. Chiesa and U. Stefanelli https://arxiv.org/abs/2508.19923

New preprint on "Global well-posedness for a time-fractional doubly nonlinear equation" by G. Akagi, G. E. Sodini, and U. Stefanelli https://arxiv.org/abs/2508.13694

The paper "The $\ell_1$ double-bubble problem in three dimensions" by M. Friedrich, W. Górny, and U. Stefanelli has been published. https://doi.org/10.1007/s12220-025-02151-9

New preprint on "Embeddedness and graphicality of the elastic flow for complete curves" by T. Miura and F. Rupp https://arxiv.org/abs/2508.18979

New preprint on "Weak stability by noise for approximations of doubly nonlinear evolution equations" by C. Orrieri, L. Scarpa, and U. Stefanelli http://arxiv.org/abs/2507.17331

New preprint on "Varifold solutions to Volume-Preserving Mean Curvature Flow: existence and weak-strong uniqueness" by A. Poiatti https://arxiv.org/abs/2507.08783

New preprint on "Elastic bilayer membranes under confinement — Existence, regularity, and rigidity" by M. Röger and F. Rupp https://arxiv.org/abs/2506.14520

The paper "Nonlocal-to-local convergence rates for strong solutions to a Navier-Stokes-Cahn-Hilliard system with singular potential" by C. Hurm, P. Knopf, and A. Poiatti has been published. https://doi.org/10.1080/03605302.2024.2401445

The paper "Strongly anisotropic Anzellotti pairings and their applications to the anisotropic p-Laplacian" by W. Górny has been published. https://doi.org/10.1016/j.jmaa.2025.129734

New preprint on "Brakke inequality and the existence of Brakke-flow for volume preserving mean curvature flow " by A. Chiesa and K. Takasao https://arxiv.org/abs/2505.23222

New preprint on "Stochastic Euler Schemes and Dissipative Evolutions in the Space of Probability Measures" by G. Cavagnari, G. Savaré, and G. E. Sodini https://arxiv.org/abs/2505.20801

The paper "Weighted Inertia-Dissipation-Energy approach to doubly nonlinear wave equations" by G. Akagi, V. Bögelein, A. Marveggio, and U. Stefanelli has been accepted for publication on the Journal of Functional Analysis https://arxiv.org/abs/2401.08856

The paper "Short closed geodesics and the Willmore energy" by M. Müller, F. Rupp, and C. Scharrer has been accepted for publication on the Journal of Differential Geometry https://arxiv.org/abs/2304.01809

The paper "Weighted Energy-Dissipation approach to semilinear gradient flows with state-dependent dissipation" by G. Akagi, U. Stefanelli, and R. Voso has been accepted for publication on the Journal of Differential Equations https://arxiv.org/abs/2404.03370

New preprint on "Weak Solutions to a Sharp Interface Model for a Two-Phase Flow of Incompressible Viscous Fluids with Different Densities" by H. Abels and A. Poiatti https://arxiv.org/abs/2505.06423

The paper "Evolution problems with perturbed $1$-Laplacian type operators on random walk spaces" by W. Górny, J. M. Mazón, and J. Toledo has been accepted for publication on Mathematische Annalen https://arxiv.org/abs/2410.15203