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arXiv · 2011.02214

An existence result for the fractional Kelvin-Voigt's model on time-dependent cracked domains

Maicol Caponi·Francesco Sapio
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Abstract

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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Maicol Caponi, Francesco Sapio. 2020-11-04. An existence result for the fractional Kelvin-Voigt's model on time-dependent cracked domains. https://doi.org/10.1007/s00028-021-00713-2

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