Séminaire Analyse-Proba (Laura Kanzler, mardi 14 mars)

8 mars 23

Le prochain séminaire Analyse-Proba aura lieu mardi 14 mars à 10h30 en salle A711. Laura Kanzler (Ceremade) nous parlera de "Kinetic modelling of non-instantaneous binary collisions".

TitleKinetic modelling of non-instantaneous binary collisions


In this talk we introduce a new class of kinetic models, which overcome the standard assumption in kinetic transport theory that collision processes happen instantaneously. On the level of the underlining stochastic processes this results in replacing the jump-process, which are defining the collisions, with continuous stochastic processes.

We investigate a kinetic model with non-instantaneous binary alignment collisions between particles. The collisions are described by a transport process in the joint state space of a pair of particles, where the states of the particles approach their midpoint. For two spatially homogeneous models with deterministic or stochastic collision times existence and uniqueness of solutions, the long time behavior, and the instantaneous limit are considered, where the latter leads to standard kinetic models of Boltzmann type.

Reference: L. Kanzler, C. Schmeiser, V. Tora, Two kinetic models for non-instantaneous binary alignment collisions, arXiv:2203.15711