Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On geometric conditions for reduction of the Moreau sweeping process to
  the Prandtl-Ishlinskii operator   The sweeping process was proposed by J. J. Moreau as a general mathematical
formalism for quasistatic processes in elastoplastic bodies. This formalism
deals with connected Prandtl's elastic-ideal plastic springs, which can form a
system with an arbitrarily complex topology. The model describes the complex
relationship between stresses and elongations of the springs. On the other
hand, the Prandtl-Ishlinskii model assumes a very simple connection of springs.
This model results in an input-output operator, which has many good
mathematical properties. It turns out that the sweeping processes can be
reducible to the Prandtl-Ishlinskii operator even if the topology of the system
of springs is complex. In this work, we analyze the conditions for such
reducibility.

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The categories of this paper are: supr-con
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-lat
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The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: comp-gas
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The categories of this paper are: mtrl-th
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The categories of this paper are: physics
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The categories of this paper are: solv-int
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The categories of this paper are: nucl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: stat