Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Nonlinear waves in adhesive strings   We study a 1D semilinear wave equation modeling the dynamic of an elastic
string interacting with a rigid substrate through an adhesive layer. The
constitutive law of the adhesive material is assumed elastic up to a finite
critical state, beyond such a value the stress discontinuously drops to zero.
Therefore the semilinear equation is characterized by a source term presenting
jump discontinuity. Well-posedness of the initial boundary value problem of
Neumann type, as well as qualitative properties of the solutions are studied
and the evolution of different initial conditions are numerically investigated.

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The categories of this paper are: acc-phys
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The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci
0
The categories of this paper are: hep-ph
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The categories of this paper are: dg-ga
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
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The categories of this paper are: nlin
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The categories of this paper are: cond-mat
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The categories of this paper are: chao-dyn
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: alg-geom
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The categories of this paper are: astro-ph
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The categories of this paper are: econ