In this talk we consider the effect of randomness in kinetic equations that preserve mass. The analysis is carried out in a general setting, with the regularity result not depending on the specific form of the collision term, the probability distribution of the random variables, or the regime the system is in. The proof relies on the explicit expression of the high order derivatives of the solution in the random space, and the convergence in time is mainly based on hypocoercivity, which, despite the popularity in PDE analysis of kinetic theory, has rarely been used for numerical algorithms.
Uniform regularity for linear kinetic equations with random input based on hypocoercivity
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Nom de l'orateur
Li Wang
Etablissement de l'orateur
State University of New York at Buffalo
Date et heure de l'exposé
Lieu de l'exposé
Salle Eole