Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Steady-state fingering patterns for a periodic Muskat problem   We study global bifurcation branches consisting of stationary solutions of
the Muskat problem. It is proved that the steady-state fingering patterns blow
up as the surface tension increases: we find a threshold value for the cell
height with the property that below this value the fingers will touch the
boundaries of the cell when the surface tension approaches a finite value from
below; otherwise, the maximal slope of the fingers tends to infinity.

19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
15
The categories of this paper are: nucl-ex
24
The categories of this paper are: dg-ga
7
The categories of this paper are: hep-th
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
11
The categories of this paper are: hep-lat
18
The categories of this paper are: econ