Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An existence result for the fractional Kelvin-Voigt's model on
  time-dependent cracked domains   We prove an existence result for the fractional Kelvin-Voigt's model
involving Caputo's derivative on time-dependent cracked domains. We first show
the existence of a solution to a regularized version of this problem. Then, we
use a compactness argument to derive that the fractional Kelvin-Voigt's model
admits a solution which satisfies an energy-dissipation inequality. Finally, we
prove that when the crack is not moving, the solution is unique.

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The categories of this paper are: nlin
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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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: math-ph
12
The categories of this paper are: nucl-th
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: q-fin
1
The categories of this paper are: cs
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The categories of this paper are: ao-sci
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The categories of this paper are: eess
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-ex