Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Convergent flow in a two-layer system and mountain building   With the purpose of modelling the process of mountain building, we
investigate the evolution of the ridge produced by the convergent motion of a
system consisting of two layers of liquids that differ in density and viscosity
to simulate the crust and the upper mantle that form a lithospheric plate. We
assume that the motion is driven by basal traction. Assuming isostasy, we
derive a nonlinear differential equation for the evolution of the thickness of
the crust. We solve this equation numerically to obtain the profile of the
range. We find an approximate self-similar solution that describes reasonably
well the process and predicts simple scaling laws for the height and width of
the range as well as the shape of the transversal profile. We compare the
theoretical results with the profiles of real mountain belts and find and
excellent agreement.

37
The categories of this paper are: supr-con
2
The categories of this paper are: math
30
The categories of this paper are: q-alg
13
The categories of this paper are: quant-ph
20
The categories of this paper are: acc-phys
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
26
The categories of this paper are: bayes-an
18
The categories of this paper are: econ
12
The categories of this paper are: nucl-th
15
The categories of this paper are: nucl-ex
10
The categories of this paper are: q-bio
6
The categories of this paper are: astro-ph
7
The categories of this paper are: hep-th