The Vlasov-Maxwell-Boltzmann System for Weakly Inhomogeneous Data
Seok-Bae Yun
TL;DR
This paper investigates the global existence and long-term behavior of solutions to the Vlasov-Maxwell-Boltzmann system for weakly inhomogeneous dilute gases, focusing on small perturbations around homogeneous solutions.
Contribution
It establishes the existence of unique global classical solutions and analyzes their asymptotic behavior for the system under weak inhomogeneity conditions.
Findings
Existence of unique global classical solutions.
Asymptotic stability around homogeneous solutions.
Behavior of solutions for small perturbations.
Abstract
This paper is devoted to the study of the dynamics of charged particles in a weakly inhomogeneous dilute gas. More precisely, we consider the existence of unique global in time classical solutions for the Vlasov-MaxwellBoltzmann system and its asymptotic behavior when the particle distribution function is a small perturbation around an arbitrarily large homogenous solution of the Boltzmann equation.
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Taxonomy
TopicsGas Dynamics and Kinetic Theory · Fluid Dynamics and Turbulent Flows · Lattice Boltzmann Simulation Studies