Institute of Mathematics

Talk

Modul:   MAT675  PDE and Mathematical Physics

On the homogenization problem for the linear Boltzmann equation

Prof. Dr. Francesco Salvarani talk

Date: 12.03.20  Time: 18.10 - 19.10  Room: Y27H35/36

We study the homogenization problem for the linear Boltzmann equation when the optical parameters are highly heterogeneous in the energy variable. We employ the method of two-scale convergence to arrive at the homogenization result. In doing so, we show the induction of a memory effect in the homogenization limit and we discuss its link with the self-shielding effect in nuclear reactor physics. The results presented in this talk have been obtained in collaboration with Harsha Hutridurga and Olga Mula.