Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ill-posedness of Naiver-Stokes equations and critical Besov-Morrey
  spaces   The blow up phenomenon in the first step of the classical Picard's scheme was
proved in this paper. For certain initial spaces, Bourgain-Pavlovi\'c and
Yoneda proved the ill-posedness of the Navier-Stokes equations by showing the
norm inflation in certain solution spaces. But Chemin and Gallagher said the
space $\dot{B}^{-1,\infty}_{\infty}$ seems to be optimal for some solution
spaces best chosen. In this paper, we consider more general initial spaces than
Bourgain-Pavlovi\'c and Yoneda did and establish ill-posedness result
independent of the choice of solution space. Our result is a complement of the
previous ill-posedness results on Navier-Stokes equations.

6
The categories of this paper are: astro-ph
34
The categories of this paper are: chem-ph
29
The categories of this paper are: funct-an
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
25
The categories of this paper are: patt-sol
22
The categories of this paper are: chao-dyn
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
10
The categories of this paper are: q-bio
26
The categories of this paper are: bayes-an