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

dc.contributor.areamathematicsen_US
dc.contributor.authorCaponi, Maicol
dc.contributor.authorSapio, Francesco
dc.date.accessioned2020-11-04T08:43:36Z
dc.date.available2020-11-04T08:43:36Z
dc.date.issued2020-11-04
dc.description.abstractWe 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.urihttps://openscience.sissa.it/handle/1963/35408
dc.language.isoenen_US
dc.publisherSISSAen_US
dc.relation.ispartofseriesSISSA;27/2020/MATE
dc.subjectlinear second order hyperbolic systemsen_US
dc.subjectdynamic fracture mechanicsen_US
dc.subjectcracking domainsen_US
dc.subjectelastodynamicsen_US
dc.subjectviscoelasticityen_US
dc.subjectfractional Kelvin-Voigten_US
dc.subjectCaputo's fractional derivativeen_US
dc.titleAn existence result for the fractional Kelvin-Voigt's model on time dependent cracked domainsen_US
dc.typePreprinten_US
Files
Original bundle
Now showing 1 - 1 of 1
Loading...
Thumbnail Image
Name:
An_existence_result_for_the_fractional_Kelvin_Voigt_s_model_on_time_dependent_cracked_domains.pdf
Size:
427.74 KB
Format:
Adobe Portable Document Format
Description:
Preprint
Collections