Pile-up solutions for some systems of conservation laws modelling dislocation interaction in crystals
| dc.contributor.author | Carpio Rodríguez, Ana María | |
| dc.contributor.author | Chapman, S. J. | |
| dc.contributor.author | Velázquez, J. J. L. | |
| dc.date.accessioned | 2023-06-20T16:50:50Z | |
| dc.date.available | 2023-06-20T16:50:50Z | |
| dc.date.issued | 2001 | |
| dc.description.abstract | Some continuum models for dislocation interactions in a simple crystal geometry are studied. The simplest models are mixed systems ofconservation laws which are shown to exhibit singularities and instabilities. These are then regularized, leading to parabolic free-boundary problems. In both cases, solutions describing the formation of structures such as dislocation pile-ups are discussed. | en |
| dc.description.department | Depto. de Análisis Matemático y Matemática Aplicada | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.sponsorship | Directorate General for Higher Education (Portugal) | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15097 | |
| dc.identifier.citation | Carpio Rodríguez, A. M., Chapman, S. J. y Velázquez, J. J. L. «Pile-Up Solutions for Some Systems of Conservation Laws Modelling Dislocation Interaction in Crystals». SIAM Journal on Applied Mathematics, vol. 61, n.o 6, enero de 2001, pp. 2168-99. DOI.org (Crossref), https://doi.org/10.1137/S0036139999364347. | |
| dc.identifier.doi | 10.1137/S0036139999364347 | |
| dc.identifier.issn | 0036-1399 | |
| dc.identifier.officialurl | https//doi.org/10.1137/S0036139999364347 | |
| dc.identifier.relatedurl | http://epubs.siam.org/siap/resource/1/smjmap/v61/i6/p2168_s1?isAuthorized=no | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57217 | |
| dc.issue.number | 6 | |
| dc.journal.title | SIAM Journal on applied mathematics | |
| dc.language.iso | eng | |
| dc.page.final | 2199 | |
| dc.page.initial | 2168 | |
| dc.publisher | Society for Industrial and Applied Mathematics | |
| dc.relation.projectID | Spanish-British integrated action HB1997-0162 | |
| dc.relation.projectID | European TMR on Hyperbolic Systems ERB-FMRXCT-960033 | |
| dc.relation.projectID | PB96-0614. | |
| dc.rights.accessRights | open access | |
| dc.subject.cdu | 517.9 | |
| dc.subject.cdu | 530.1 | |
| dc.subject.keyword | Dislocation dynamics | |
| dc.subject.keyword | Degenerate systems of conservation laws | |
| dc.subject.keyword | Free-boundary problems | |
| dc.subject.keyword | Pattern formation | |
| dc.subject.ucm | Física matemática | |
| dc.subject.ucm | Ecuaciones diferenciales | |
| dc.subject.unesco | 1202.07 Ecuaciones en Diferencias | |
| dc.title | Pile-up solutions for some systems of conservation laws modelling dislocation interaction in crystals | en |
| dc.type | journal article | |
| dc.volume.number | 61 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | f301b87d-970b-4da8-9373-fef22632392a | |
| relation.isAuthorOfPublication.latestForDiscovery | f301b87d-970b-4da8-9373-fef22632392a |
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