Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Wave propagation in anisotropic viscoelasticity   We extend the theory of complete Bernstein functions to matrix-valued
functions and apply it to analyze Green's function of an anisotropic
multi-dimension\-al linear viscoelastic problem. Green's function is given by
the superposition of plane waves. Each plane wave is expressed in terms of
matrix-valued attenuation and dispersion functions given in terms of a
matrix-valued positive semi-definite Radon measure. More explicit formulae are
obtained for 3D isotropic viscoelastic Green's functions. As an example of an
anisotropic medium the transversely isotropic medium with a constant symmetry
axis is considered.

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The categories of this paper are: nucl-ex
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The categories of this paper are: stat
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The categories of this paper are: comp-gas
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The categories of this paper are: cmp-lg
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The categories of this paper are: quant-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: physics
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The categories of this paper are: econ
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The categories of this paper are: q-alg
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The categories of this paper are: cs
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The categories of this paper are: dg-ga
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The categories of this paper are: solv-int
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The categories of this paper are: plasm-ph
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The categories of this paper are: eess
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The categories of this paper are: hep-lat