Applied Mathematics & Modeling research group

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"! https://www.fwf.ac.at/en/research-radar/10.55776/PAT1408325

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

New preprint on "Euler–Lagrange equations for variable-growth total variation" by W. Górny, M. Łasica, and A. Matsoukas https://arxiv.org/abs/2504.13559

New preprint on "Evolution Variational Inequalities with general costs" by P.-C. Aubin, G. E. Sodini, and U. Stefanelli https://sfb65.univie.ac.at/p/1347

The paper "Optimal control of gradient flows via the Weighted Energy-Dissipation method" by T. Fukao, U. Stefanelli, and R. Voso has been accepted for publication on the Journal of Evolution Equations https://arxiv.org/abs/2403.15055

The paper "Quasistatic nonassociative plasticity at finite strains" by U. Stefanelli and A. Vikelis has been accepted for publication on the Journal of Nonlinear Science https://arxiv.org/abs/2411.14316

The paper "Finite-strain Poynting-Thomson model: Existence and linearization" by A. Chiesa, M. Kružík, and U. Stefanelli has been published. https://doi.org/10.1177/10812865241263788

The paper "An existence result for accretive growth in elastic solids" by E. Davoli, K. Nik, U. Stefanelli, and G. Tomassetti has been published. https://doi.org/10.1142/S0218202524500465

The paper "Generalized minimizing movements for the varifold Canham–Helfrich flow" by K. Brazda, M. Kružík, and U. Stefanelli has been published. https://doi.org/10.1515/acv-2022-0056

The paper "On an Obstacle Problem for the Brakke Flow with a Generalized Right-Angle Boundary Condition" by K. Nik and K. Takasao has been published. https://doi.org/10.1137/24M1652180

New preprint on "A new energy method for shortening and straightening complete curves" by T. Miura and F. Rupp https://arxiv.org/abs/2504.03395

The paper "A characterization of l^1 double bubbles with general interface interaction" by M. Friedrich, W. Górny, and U. Stefanelli has been published online. https://doi.org/10.1515/acv-2023-0131

The paper "Diffuse Interface Model for Two-Phase Flows on Evolving Surfaces with Different Densities: Global Well-Posedness" by H. Abels, H. Garcke, and A. Poiatti has been accepted for publication on Calculus of Variations and Partial Differential Equations https://arxiv.org/abs/2408.07449