Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dynamics of collision of a spherical ice crystal particle with a
  perfectly rigid substrate   Impact of single particle onto a rigid substrate leads to its deformation and
fragmentation. The flow associated with the particle spreading on a solid
substrate after impact is extremely complicated. In this theoretical study a
simplified model for the plastic flow with the rate-dependent yield strength is
developed. The flow in the particle is approximated by an incompressible
inviscid flow past a thin rigid disk. The expression for the pressure field
distribution is obtained in the vicinity of the impact axis. The total momentum
balance of the particle is used to derive the equations of the particle
deformation by impact. The theoretical predictions of the typical geometrical
parameters of the particle, the peak force and the evolution of the force in
time are compared with the existing experimental data. The agreement is rather
good.

32
The categories of this paper are: atom-ph
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
16
The categories of this paper are: stat
24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
33
The categories of this paper are: plasm-ph
13
The categories of this paper are: quant-ph
6
The categories of this paper are: astro-ph
5
The categories of this paper are: gr-qc
19
The categories of this paper are: eess
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
2
The categories of this paper are: math
22
The categories of this paper are: chao-dyn
23
The categories of this paper are: solv-int