English

Growth of solutions for QG and 2D Euler equations

Analysis of PDEs 2007-05-23 v1

Abstract

We study the rate of growth of sharp fronts of the Quasi-geostrophic equation and 2D incompressible Euler equations.. The development of sharp fronts are due to a mechanism that piles up level sets very fast. Under a semi-uniform collapse, we obtain a lower bound on the minimum distance between the level sets.

Keywords

Cite

@article{arxiv.math/0101243,
  title  = {Growth of solutions for QG and 2D Euler equations},
  author = {Diego Cordoba and Charles Fefferman},
  journal= {arXiv preprint arXiv:math/0101243},
  year   = {2007}
}

Comments

8 pages

R2 v1 2026-07-22T16:37:04.754Z