Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Minimal blow-up initial data in critical Fourier-Herz spaces for
  potential Navier-Stokes singularities   In this paper, we mainly prove the existence of the minimal blow-up initial
data in critical Fourier-Herz space $F\dot{B}^{2-{\frac3p}}_{p,q}(\RR^3)$ with
$1<p\leq\infty$ and $1\leq q<\infty$ for the three dimensional incompressible
potential Navier-Stokes equations by developing techniques of "localization in
space" involving the partial regularity given by the De Giorgi iteration,
weak-strong uniqueness, the short-time behaviour of the kinetic energy and
stability of singularity of Calder\'on's solution.

37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
12
The categories of this paper are: nucl-th
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph