On the lack of compactness in the axisymmetric neo-Hookean model

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dc.contributor.authorBarchiesi, Marco
dc.contributor.authorHenao, Duvan
dc.contributor.authorMora-Corral, Carlos
dc.contributor.authorRodiac, Remy
dc.date.accessioned2025-01-20T17:08:16Z
dc.date.available2025-01-20T17:08:16Z
dc.date.issued2024
dc.description.abstractWe provide a fine description of the weak limit of sequences of regular axisymmetric maps with equibounded neo-Hookean energy, under the assumption that they have finite surface energy. We prove that these weak limits have a dipole structure, showing that the singular map described by Conti and De Lellis is generic in some sense. On this map, we provide the explicit relaxation of the neo-Hookean energy. We also make a link with Cartesian currents showing that the candidate for the relaxation we obtained presents strong similarities with the relaxed energy in the context of $\mathbb {S}<^>2$ -valued harmonic maps.
dc.fuente.origenWOS
dc.identifier.doi10.1017/fms.2024.9
dc.identifier.eissn2050-5094
dc.identifier.urihttps://doi.org/10.1017/fms.2024.9
dc.identifier.urihttps://repositorio.uc.cl/handle/11534/90933
dc.identifier.wosidWOS:001169801000001
dc.language.isoen
dc.revistaForum of mathematics sigma
dc.rightsacceso restringido
dc.subject49J45
dc.subject49Q15
dc.subject74B20
dc.subject74G65
dc.subject74G70
dc.titleOn the lack of compactness in the axisymmetric neo-Hookean model
dc.typeartículo
dc.volumen12
sipa.indexWOS
sipa.trazabilidadWOS;2025-01-12
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