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.

An existence result for the fractional Kelvin–Voigt’s model on time-dependent cracked domains / Caponi, M.; Sapio, F.. - In: JOURNAL OF EVOLUTION EQUATIONS. - ISSN 1424-3199. - (2021). [10.1007/s00028-021-00713-2]

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

Caponi M.;Sapio F.
2021-01-01

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.
2021
10.1007/s00028-021-00713-2
https://arxiv.org/abs/2011.02214
Caponi, M.; Sapio, F.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/125013
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