English

One-dimensional model equations for hyperbolic fluid flow

Analysis of PDEs 2016-04-25 v2

Abstract

In this paper we study the singularity formation for two nonlocal 1D active scalar equations, focusing on the hyperbolic flow scenario. Those 1D equations can be regarded as simplified models of some 2D fluid equations.

Keywords

Cite

@article{arxiv.1508.00550,
  title  = {One-dimensional model equations for hyperbolic fluid flow},
  author = {Tam Do and Vu Hoang and Maria Radosz and Xiaoqian Xu},
  journal= {arXiv preprint arXiv:1508.00550},
  year   = {2016}
}

Comments

12 pages, 2 figures

R2 v1 2026-06-22T10:25:24.013Z