An existence result for the fractional Kelvin-Voigt's model on time dependent cracked domains
dc.contributor.area | mathematics | en_US |
dc.contributor.author | Caponi, Maicol | |
dc.contributor.author | Sapio, Francesco | |
dc.date.accessioned | 2020-11-04T08:43:36Z | |
dc.date.available | 2020-11-04T08:43:36Z | |
dc.date.issued | 2020-11-04 | |
dc.description.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. | en_US |
dc.identifier.uri | https://openscience.sissa.it/handle/1963/35408 | |
dc.language.iso | en | en_US |
dc.publisher | SISSA | en_US |
dc.relation.ispartofseries | SISSA;27/2020/MATE | |
dc.subject | linear second order hyperbolic systems | en_US |
dc.subject | dynamic fracture mechanics | en_US |
dc.subject | cracking domains | en_US |
dc.subject | elastodynamics | en_US |
dc.subject | viscoelasticity | en_US |
dc.subject | fractional Kelvin-Voigt | en_US |
dc.subject | Caputo's fractional derivative | en_US |
dc.title | An existence result for the fractional Kelvin-Voigt's model on time dependent cracked domains | en_US |
dc.type | Preprint | en_US |
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