Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Penalty approximation for non smooth constraints in vibroimpact   We examine the penalty approximation of the free motion of a material point
in an angular domain; we choose an over-damped penalty, and we prove that if
the first impact point is not at the vertex, then, the limit of the
approximation exists and is described by Moreau's rule for anelastic impacts.
  The proofs rely on validated asymptotics and use some classical tools in the
theory of dynamical systems.

26
The categories of this paper are: bayes-an
27
The categories of this paper are: comp-gas
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
13
The categories of this paper are: quant-ph
19
The categories of this paper are: eess
23
The categories of this paper are: solv-int
20
The categories of this paper are: acc-phys
9
The categories of this paper are: nlin
33
The categories of this paper are: plasm-ph
6
The categories of this paper are: astro-ph
22
The categories of this paper are: chao-dyn
8
The categories of this paper are: hep-ex
16
The categories of this paper are: stat
34
The categories of this paper are: chem-ph
5
The categories of this paper are: gr-qc