English

Generalized Naiver-Stokes equations with initial data in local $Q$-type spaces

Analysis of PDEs 2009-04-22 v1

Abstract

In this paper, we establish a link between Leray mollified solutions of the three-dimensional generalized Naiver-Stokes equations and mild solutions for initial data in the adherence of the test functions for the norm of Qα,locβ,1(R3).Q^{\beta,-1}_{\alpha, loc}(\mathbb{R}^{3}). This result applies to the usual incompressible Navier-Stokes equations and deduces a known link.

Keywords

Cite

@article{arxiv.0904.3283,
  title  = {Generalized Naiver-Stokes equations with initial data in local $Q$-type spaces},
  author = {Pengtao Li and Zhichun Zhai},
  journal= {arXiv preprint arXiv:0904.3283},
  year   = {2009}
}

Comments

18 pages

R2 v1 2026-06-21T12:53:38.976Z