Speaker: Mario Maurelli，University of Pisa, Italy

Inviter: 罗德军

Title: The nonsmooth Kraichnan model

Language: English

Time & Venue: 2026.08.25 10:00-11:00 South Building 613

Abstract: The nonsmooth Kraichnan model is a linear stochastic transport model in which the velocity field is Gaussian, white in time, isotropic, and spatially rough. Introduced as a toy model for turbulent transport, it allows explicit computations and has become a benchmark for predictions such as Richardson pair dispersion and intermittency. In mathematics, it stands out as one of the few transport models exhibiting both well-posedness and, depending on the compressibility degree, spontaneous stochasticity or particle coalescence. More recently, renewed interest has followed rigorous results on anomalous dissipation and anomalous regularization, as well as related regularization-by-noise results. In this talk, we will review these mathematical developments.