Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An extension of an unicity class for Navier-Stokes equations   This is a translation from French of my paper [R. May, Extension d'une classe
d'unicite pour les equations de Navier-Stokes, Ann. I. H. Poincar\'{e}-AN 27
(2010) 705-718. doi:10.1016/j.anihp.2009.11.007].
  Q. Chen, C. Miao, and Z. Zhang \cite{CMZ} have proved that weak Leray
solutions of the Navier-Stokes are unique in the class $L^{\frac{2}{1+r}%
}([0,T].B_{\infty}^{r,\infty}(\mathbb{R}^{3})$ with $r\in]-\frac{1}{2},1].$ In
this paper, we establish that this criterion remains true for $r\in
]-1,-\frac{1}{2}].$

15
The categories of this paper are: nucl-ex
23
The categories of this paper are: solv-int
5
The categories of this paper are: gr-qc
8
The categories of this paper are: hep-ex
30
The categories of this paper are: q-alg
4
The categories of this paper are: cond-mat
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
18
The categories of this paper are: econ
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
35
The categories of this paper are: mtrl-th
16
The categories of this paper are: stat
13
The categories of this paper are: quant-ph