Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Splash singularity for water waves   We exhibit smooth initial data for the 2D water wave equation for which we
prove that smoothness of the interface breaks down in finite time. Moreover, we
show a stability result together with numerical evidence that there exist
solutions of the 2D water wave equation that start from a graph, turn over and
collapse in a splash singularity (self intersecting curve in one point) in
finite time.

18
The categories of this paper are: econ
14
The categories of this paper are: math-ph
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
15
The categories of this paper are: nucl-ex
7
The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
26
The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
3
The categories of this paper are: physics
33
The categories of this paper are: plasm-ph
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int