A new space of generalised functions with bounded variation motivated by fracture mechanics

Simple item page
dc.contributor.areamathematicsen_US
dc.contributor.authorDal Maso, Gianni
dc.contributor.authorToader, Rodica
dc.date.accessioned2022-01-11T16:18:53Z
dc.date.available2022-01-11T16:18:53Z
dc.date.issued2022-01-11
dc.descriptionSISSA 01/2022/MATEen_US
dc.description.abstractWe introduce a new space of generalised functions with bound ed variation to prove the existence of a solution to a minimum problem that arises in the variational approach to fracture mechanics in elasto plastic materials. We study the fine properties of the functions belonging to this space and prove a compactness result. In order to use the Direct Method of the Calculus of Variations we prove a lower semicontinuity result for the functional occurring in this minimum problem. Moreover, we adapt a nontrivial argument introduced by Friedrich to show that every minimizing sequence can be modified to obtain a new minimizing sequence that satisfies the hypotheses of our compactness result.en_US
dc.identifier.urihttps://openscience.sissa.it/handle/1963/35436
dc.language.isoenen_US
dc.subjectgeneralised functions with bounded variationen_US
dc.subjectfracture mechanicsen_US
dc.subjectelastoplastic materialsen_US
dc.subjectsemicontinuityen_US
dc.subjectcompact minimizing sequenceen_US
dc.titleA new space of generalised functions with bounded variation motivated by fracture mechanicsen_US
dc.typePreprinten_US
Files
Original bundle
Now showing 1 - 1 of 1
Thumbnail Image
Name:
DM-Toa-22-01-10-sissa.pdf
Size:
403.04 KB
Format:
Adobe Portable Document Format
Description:
Download
Collections
Preprints