English

On a fuzzy Landau Equation: Part I. A variational approach

Analysis of PDEs 2026-02-06 v2

Abstract

This article is the first in a series of works on the fuzzy Landau equation, where particles interact through delocalised Coulomb collisions. Here, we establish a variational characterisation that recasts the fuzzy Landau equation within the framework of GENERIC systems (General Equations for Non-Equilibrium Reversible-Irreversible Coupling).

Keywords

Cite

@article{arxiv.2504.07666,
  title  = {On a fuzzy Landau Equation: Part I. A variational approach},
  author = {Manh Hong Duong and Zihui He},
  journal= {arXiv preprint arXiv:2504.07666},
  year   = {2026}
}

Comments

The results hold for all dimensions $d\ge 2$