Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nowhere-differentiability of the solution map of 2D Euler equations on
  bounded spatial domain   We consider the incompressible 2D Euler equations on bounded spatial domain
$S$, and study the solution map on the Sobolev spaces $H^k(S)$ ($k > 2$).
Through an elaborate geometric construction, we show that for any $T >0$, the
time $T$ solution map $u_0 \mapsto u(T)$ is nowhere locally uniformly
continuous and nowhere Fr\'echet differentiable.

1
The categories of this paper are: cs
24
The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
19
The categories of this paper are: eess
15
The categories of this paper are: nucl-ex
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th
0
The categories of this paper are: hep-ph
25
The categories of this paper are: patt-sol
37
The categories of this paper are: supr-con
16
The categories of this paper are: stat
6
The categories of this paper are: astro-ph