Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Solution of the Roth-Marques-Durian Rotational Abrasion Model   We solve the rotational abrasion model of Roth, Marques and Durian
(arXiv:1009.3492), a one-dimensional quasilinear partial differential equation
resembling the inviscid Burgers equation with the unusual feature of a step
function factor as a coefficient. The complexity of the solution is primarily
in keeping track of the cases in the piecewise function that results from
certain amputation and interpolation processes, so we also extract from it a
model of an evolving planar tree graph that tracks the evolution of the coarse
features of the contour.

36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
29
The categories of this paper are: funct-an
9
The categories of this paper are: nlin
22
The categories of this paper are: chao-dyn
25
The categories of this paper are: patt-sol
33
The categories of this paper are: plasm-ph
18
The categories of this paper are: econ
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
37
The categories of this paper are: supr-con
31
The categories of this paper are: ao-sci
19
The categories of this paper are: eess