Department of Mathematics - Seminar on Applied Mathematics - A multi-fidelity approach for kinetic equations with multiple scales and uncertainties

Kinetic equations have broad applications in various fields, such as plasma physics, rarefied gas, astrophysics, environmental and social biological sciences. In this talk, we will consider a class of kinetic equations with uncertainties, including the Boltzmann, epidemic transport and Schrödinger equations with multiple scales and random parameters. We will utilize a multi-fidelity approach to design data-driven methods to efficiently solve above equations and show error estimates via the hypocoercivity analysis. These are joint works with collaborators including Lorenzo Pareschi, Xueyu Zhu, Shi Jin.