English

A Note on Singularity Formation for a Nonlocal Transport Equation

Analysis of PDEs 2019-10-30 v2

Abstract

The α\alpha-patch model is used to study aspects of fluid equations. We show that solutions of this model form singularities in finite time and give a characterization of the solution profile at the singular time.

Keywords

Cite

@article{arxiv.1908.09424,
  title  = {A Note on Singularity Formation for a Nonlocal Transport Equation},
  author = {Vu Hoang and Maria Radosz},
  journal= {arXiv preprint arXiv:1908.09424},
  year   = {2019}
}

Comments

Improved and revised version

R2 v1 2026-06-23T10:56:24.503Z