Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the transition of the Rayleigh-Taylor instability in 2d water waves   In this paper we prove the existence of water waves with sign-changing Taylor
sign coefficients, that is, the strong Taylor sign holds initially, while
breaks down at a later time, and vice versa. Such a phenomenon can be regarded
as the transition between the stable and unstable regime in the sense of
Rayleigh-Taylor of water waves. As a byproduct, we prove the sharp
wellposedness of 2d water waves in Gevrey-2 spaces.

22
The categories of this paper are: chao-dyn
9
The categories of this paper are: nlin
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
4
The categories of this paper are: cond-mat
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
5
The categories of this paper are: gr-qc
13
The categories of this paper are: quant-ph
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
8
The categories of this paper are: hep-ex