Global weak solutions for a nonlocal multispecies Fokker-Planck-Landau system
Analysis of PDEs
2024-01-17 v2
Abstract
The global-in-time existence of weak solutions to a spatially homogeneous multispecies Fokker-Planck-Landau system for plasmas in the three-dimensional whole space is shown. The Fokker-Planck-Landau system is a simplification of the Landau equations assuming a linearized, velocity-independent, and isotropic kernel. The resulting equations depend nonlocally and nonlinearly on the moments of the distribution functions via the multispecies local Maxwellians. The existence proof is based on a three-level approximation scheme, energy and entropy estimates, as well as compactness results, and it holds for both soft and hard potentials.
Keywords
Cite
@article{arxiv.2305.17447,
title = {Global weak solutions for a nonlocal multispecies Fokker-Planck-Landau system},
author = {Jingwei Hu and Ansgar Jüngel and Nicola Zamponi},
journal= {arXiv preprint arXiv:2305.17447},
year = {2024}
}