Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Channelization cascade   The hierarchy of channel networks in landscapes displays features that are
characteristic of non-equilibrium complex systems. Here we show that a sequence
of increasingly complex ridge and valley networks is produced by a system of
partial differential equations coupling landscape evolution dynamics with a
specific catchment area equation. By means of a linear stability analysis we
identify the critical conditions triggering channel formation and the emergence
of characteristic valley spacing. The ensuing channelization cascade, described
by a dimensionless number accounting for diffusive soil creep, runoff erosion,
and tectonic uplift, is reminiscent of the subsequent instabilities in fluid
turbulence, while the structure of the simulated patterns is indicative of a
tendency to evolve toward optimal configurations, with anomalies similar to
dislocation defects observed in pattern-forming systems. The choice of specific
geomorphic transport laws and boundary conditions strongly influences the
channelization cascade, underlying the nonlocal and nonlinear character of its
dynamics.

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The categories of this paper are: mtrl-th
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
15
The categories of this paper are: nucl-ex
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
29
The categories of this paper are: funct-an
28
The categories of this paper are: alg-geom
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
17
The categories of this paper are: q-fin
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th