English

Notes on continuous weak solutions to the ideal Hall equation

Analysis of PDEs 2022-11-01 v3

Abstract

Using convex integration, we construct continuous weak solutions to the ideal Hall equation with a given energy profile. This is a first step in the direction of proving the Onsager's conjecture for the more general Hall-MHD equations.

Keywords

Cite

@article{arxiv.2210.08702,
  title  = {Notes on continuous weak solutions to the ideal Hall equation},
  author = {Genival da Silva},
  journal= {arXiv preprint arXiv:2210.08702},
  year   = {2022}
}

Comments

stronger result proved. A new paper will be published instead

R2 v1 2026-06-28T03:46:10.935Z