Publication
On the behavior of clamped plates under large compression
| dc.contributor.author | Antunes, Pedro R. S. | |
| dc.contributor.author | Buoso, D. | |
| dc.contributor.author | Freitas, P. | |
| dc.date.accessioned | 2020-05-11T13:33:03Z | |
| dc.date.available | 2020-05-11T13:33:03Z | |
| dc.date.issued | 2019-09-02 | |
| dc.description.abstract | We determine the asymptotic behavior of eigenvalues of clamped plates under large compression by relating this problem to eigenvalues of the Laplacian with Robin boundary conditions. Using the method of fundamental solutions, we then carry out a numerical study of the extremal domains for the first eigenvalue, from which we see that these depend on the value of the compression, and start developing a boundary structure as this parameter is increased. The corresponding number of nodal domains of the first eigenfunction of the extremal domain also increases with the compression. | pt_PT |
| dc.description.sponsorship | This work was partially supported by the Funda ̧c ̃ao para a Ciˆencia e a Tecnologia(Portugal) through the program “Investigador FCT” with reference IF/00177/2013 and the projectExtremal spectral quantities and related problems(PTDC/MAT-CAL/4334/2014). | pt_PT |
| dc.description.version | info:eu-repo/semantics/publishedVersion | pt_PT |
| dc.identifier.doi | 10.1137/19M1249606 | pt_PT |
| dc.identifier.eissn | 1095-712X | |
| dc.identifier.issn | 0036-1399 | |
| dc.identifier.uri | http://hdl.handle.net/10400.2/9683 | |
| dc.language.iso | eng | pt_PT |
| dc.peerreviewed | yes | pt_PT |
| dc.publisher | Society for Industrial and Applied Mathematics | pt_PT |
| dc.relation.publisherversion | https://epubs.siam.org/doi/abs/10.1137/19M1249606?af=R&mobileUi=0 | pt_PT |
| dc.subject | Biharmonic operator | pt_PT |
| dc.subject | Pplate with tension | pt_PT |
| dc.subject | Plate with compression | pt_PT |
| dc.subject | Eeigenvalues | pt_PT |
| dc.subject | Aasymptotics | pt_PT |
| dc.subject | Eextremal domains | pt_PT |
| dc.title | On the behavior of clamped plates under large compression | pt_PT |
| dc.type | journal article | |
| dspace.entity.type | Publication | |
| oaire.awardURI | info:eu-repo/grantAgreement/FCT/3599-PPCDT/PTDC%2FMAT-CAL%2F4334%2F2014/PT | |
| oaire.citation.endPage | 1891 | pt_PT |
| oaire.citation.issue | 5 | pt_PT |
| oaire.citation.startPage | 1872 | pt_PT |
| oaire.citation.title | SIAM Journal on Applied Mathematics | pt_PT |
| oaire.citation.volume | 79 | pt_PT |
| oaire.fundingStream | 3599-PPCDT | |
| person.familyName | Antunes | |
| person.givenName | Pedro | |
| person.identifier.ciencia-id | 6710-138C-A69D | |
| person.identifier.orcid | 0000-0003-1969-1860 | |
| person.identifier.rid | M-2406-2015 | |
| person.identifier.scopus-author-id | 55346859100 | |
| project.funder.identifier | http://doi.org/10.13039/501100001871 | |
| project.funder.name | Fundação para a Ciência e a Tecnologia | |
| rcaap.rights | openAccess | pt_PT |
| rcaap.type | article | pt_PT |
| relation.isAuthorOfPublication | bef314d2-4a78-4fba-aecd-9f4e8e19e70c | |
| relation.isAuthorOfPublication.latestForDiscovery | bef314d2-4a78-4fba-aecd-9f4e8e19e70c | |
| relation.isProjectOfPublication | 259186c3-0d02-4228-a8e8-aacad9f74b0e | |
| relation.isProjectOfPublication.latestForDiscovery | 259186c3-0d02-4228-a8e8-aacad9f74b0e |
Files
Original bundle
1 - 1 of 1