English

Scalars convected by a 2D incompressible flow

Analysis of PDEs 2007-05-23 v1

Abstract

We provide a test for numerical simulations, for several two dimensional incompressible flows, that appear to develop sharp fronts. We show that in order to have a front the velocity has to have uncontrolled velocity growth.

Keywords

Cite

@article{arxiv.math/0101244,
  title  = {Scalars convected by a 2D incompressible flow},
  author = {Diego Cordoba and Charles Fefferman},
  journal= {arXiv preprint arXiv:math/0101244},
  year   = {2007}
}

Comments

8 pages