Seminario Marco Bagnara - Politecnico di Milano - 15 Dicembre 2025
Si segnala il seguente seminario a tutti gli interessati. Lunedì 15 Dicembre 2025, ore 16:00. Aula Seminari III Piano, Dipartimento di Matematica, Politecnico di Milano. Speaker: Marco Bagnara, Imperial College London. Title: Anomalous Regularization in Kazantsev-Kraichnan Model. Abstract: We investigate a passive vector field which is transported and stretched by a divergence-free Gaussian velocity field, delta-correlated in time and poorly correlated in space (spatially nonsmooth). Although the advection of a scalar field (Kraichnan's passive scalar model) is known to enjoy regularizing properties, the potentially competing stretching term in vector advection may induce singularity formation. We establish that the regularization effect is actually retained in certain regimes. While this is true in any dimension $d\ge 3$, it notably implies a regularization result for linearized 3D Euler equations with stochastic modeling of turbulent velocities, and for the induction equation in magnetohydrodynamic turbulence. The presentation is based on a joint work with Francesco Grotto and Mario Maurelli. Link Zoom: https://polimi-it.zoom.us/j/98912431075 Link Seminario Polimi: https://www.mate.polimi.it/eventi/?id=2658&sezione_di_ricerca=probstat&stringa=&submit=Submit#single ----- Prof. Luca Scarpa, PhD Associate Professor in Probability Department of Mathematics Politecnico di Milano Via E. Bonardi 9 20133 Milano, Italy e.mail: luca.scarpa@polimi.it<mailto:luca.scarpa@polimi.it> url: https://sites.google.com/view/lucascarpa
participants (1)
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Luca Scarpa