Low regularity solutions for the Vlasov–Poisson–Landau/Boltzmann system

Abstract In the paper, we are concerned with nonlinear Cauchy problem on Vlasov–Poisson–Landau/Boltzmann system around global Maxwellians in a torus or finite channel. The main goal is to establish existence and large time behaviour of small amplitude solutions for class low regularity initial data. molecular interaction type restricted case hard potentials two classical collision operators because effect self-consistent forces. result extends one by Duan–Liu–Sakamoto-Strain (Duan et al 2021 Commun. Pure Appl. Math. 74 932–1020) pure Landau/Boltzmann equation VPL VPB systems.