Diffusion Limit and the optimal convergence rate of the classical solution to the one-species Vlasov-Maxwell-Boltzmann system
Abstract
In the present paper, we study the diffusion limit of the strong solution to the one-species Vlasov-Maxwell-Boltzmann (VMB) system with initial data near a global Maxwellian. Based on spectral analysis techniques, we prove the convergence and establish the convergence rate of the classical solution to the VMB system towards the solution to the incompressible Navier--Stokes--Maxwell system with a precise estimation on the initial layer.
0
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.