English

2D Navier-Stokes equation in Besov spaces of negative order

Analysis of PDEs 2009-09-29 v1

Abstract

The Navier--Stokes equation in the bidimensional torus is considered, with initial velocity and forcing term in suitable Besov spaces. Results of local existence and uniqueness are proven; under further restriction on the indexes defining the Besov speces involved, we prove global existence.

Keywords

Cite

@article{arxiv.math/0612024,
  title  = {2D Navier-Stokes equation in Besov spaces of negative order},
  author = {Z. Brzezniak and B. Ferrario},
  journal= {arXiv preprint arXiv:math/0612024},
  year   = {2009}
}

Comments

26 pages