English

On critical thresholds for hyperbolic balance law systems

Analysis of PDEs 2023-02-28 v1

Abstract

We review the theoretical development in the study of critical thresholds for hyperbolic balance laws. The emphasis is on two classes of systems: Euler-Poisson-alignment (EPA) systems and hyperbolic relaxation systems. We start with an introduction to the `Critical Threshold Phenomena' and study some nonlocal PDE systems, which are important from modeling point of view.

Keywords

Cite

@article{arxiv.2302.12869,
  title  = {On critical thresholds for hyperbolic balance law systems},
  author = {Manas Bhatnagar and Hailiang Liu},
  journal= {arXiv preprint arXiv:2302.12869},
  year   = {2023}
}

Comments

10 pages, 2 figures

R2 v1 2026-06-28T08:49:09.218Z