Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Kinematics of deformable media   We investigate the kinematics of deformations in two and three dimensional
media by explicitly solving (analytically) the evolution equations
(Raychaudhuri equations) for the expansion, shear and rotation associated with
the deformations. The analytical solutions allow us to study the dependence of
the kinematical quantities on initial conditions. In particular, we are able to
identify regions of the space of initial conditions that lead to a singularity
in finite time. Some generic features of the deformations are also discussed in
detail. We conclude by indicating the feasibility and utility of a similar
exercise for fluid and geodesic flows in flat and curved spacetimes.

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The categories of this paper are: ao-sci
15
The categories of this paper are: nucl-ex
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The categories of this paper are: q-fin
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The categories of this paper are: chao-dyn
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The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
30
The categories of this paper are: q-alg
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: dg-ga