Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A remark on ill-posedness   Norm inflation implies certain discontinuous dependence of the solution on
the initial value. The well-posedness of the mild solution means the existence
and uniqueness of the fixed points of the corresponding integral equation. For
${\rm BMO}^{-1}$, Auscher-Dubois-Tchamitchian proved that Koch-Tataru's
solution is stable. In this paper, we construct a non-Gauss flow function to
show that, for classic Navier-Stokes equations, wellposedness and norm
inflation may have no conflict and stability may have meaning different to
$L^{\infty}(({\rm BMO}^{-1})^{n})$.

35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
37
The categories of this paper are: supr-con
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
34
The categories of this paper are: chem-ph
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th
33
The categories of this paper are: plasm-ph
12
The categories of this paper are: nucl-th