Show simple item record

dc.contributor.author
Caffarelli, L.
dc.contributor.author
Cagnetti, Filippo
dc.contributor.author
Figalli, Alessio
dc.date.accessioned
2020-04-30T07:41:34Z
dc.date.available
2020-04-30T02:40:14Z
dc.date.available
2020-04-30T07:41:34Z
dc.date.issued
2020
dc.identifier.issn
0003-9527
dc.identifier.issn
1432-0673
dc.identifier.other
10.1007/s00205-020-01509-3
en_US
dc.identifier.uri
http://hdl.handle.net/20.500.11850/412433
dc.identifier.doi
10.3929/ethz-b-000412433
dc.description.abstract
We study optimal regularity and free boundary for minimizers of an energy functional arising in cohesive zone models for fracture mechanics. Under smoothness assumptions on the boundary conditions and on the fracture energy density, we show that minimizers are 𝐶�1,1/2, and that near non-degenerate points the fracture set is 𝐶�1,𝛼�, for some 𝛼�∈(0,1).
en_US
dc.format
application/pdf
en_US
dc.language.iso
en
en_US
dc.publisher
Springer
en_US
dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
dc.title
Optimal Regularity and Structure of the Free Boundary for Minimizers in Cohesive Zone Models
en_US
dc.type
Journal Article
dc.rights.license
Creative Commons Attribution 4.0 International
dc.date.published
2020-04-10
ethz.journal.title
Archive for Rational Mechanics and Analysis
ethz.journal.volume
237
en_US
ethz.journal.issue
1
en_US
ethz.journal.abbreviated
Arch. ration. mech. anal.
ethz.pages.start
299
en_US
ethz.pages.end
345
en_US
ethz.version.deposit
publishedVersion
en_US
ethz.identifier.wos
ethz.identifier.scopus
ethz.publication.place
Berlin
en_US
ethz.publication.status
published
en_US
ethz.leitzahl
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::09565 - Figalli, Alessio / Figalli, Alessio
ethz.leitzahl.certified
ETH Zürich::00002 - ETH Zürich::00012 - Lehre und Forschung::00007 - Departemente::02000 - Dep. Mathematik / Dep. of Mathematics::02003 - Mathematik Selbständige Professuren::09565 - Figalli, Alessio / Figalli, Alessio
ethz.date.deposited
2020-04-30T02:40:22Z
ethz.source
SCOPUS
ethz.eth
yes
en_US
ethz.availability
Open access
en_US
ethz.rosetta.installDate
2020-04-30T07:41:49Z
ethz.rosetta.lastUpdated
2021-02-15T10:47:17Z
ethz.rosetta.versionExported
true
ethz.COinS
ctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.atitle=Optimal%20Regularity%20and%20Structure%20of%20the%20Free%20Boundary%20for%20Minimizers%20in%20Cohesive%20Zone%20Models&rft.jtitle=Archive%20for%20Rational%20Mechanics%20and%20Analysis&rft.date=2020&rft.volume=237&rft.issue=1&rft.spage=299&rft.epage=345&rft.issn=0003-9527&1432-0673&rft.au=Caffarelli,%20L.&Cagnetti,%20Filippo&Figalli,%20Alessio&rft.genre=article&rft_id=info:doi/10.1007/s00205-020-01509-3&
 Search print copy at ETH Library

Files in this item

Thumbnail

Publication type

Show simple item record