@prefix dcat: <http://www.w3.org/ns/dcat#> .
@prefix dct: <http://purl.org/dc/terms/> .
@prefix foaf: <http://xmlns.com/foaf/0.1/> .
@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
@prefix xsd: <http://www.w3.org/2001/XMLSchema#> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00981843v1> a dcat:Dataset ;
    dct:description """
              We study the spectral minimal $k$-partitions of the two-dimensional flat torus $\\left(\\RR/\\ZZ\\right)\\times\\left(\\RR/b\\ZZ\\right)\\,$, with $b$ a parameter in $b\\in (0,1]$. We give a heuristic argument to compute a transition value when $k$ is odd. We support this conjecture by looking for candidates to be minimal partitions using an optimization algorithm adapted from \\cite{BouBucOud09}. Guided by these numerical results, we construct $k$-partitions that are tilings of the torus by hexagons. We compute their energy and thus obtain an upper bound of the minimal energy.
            """ ;
    dct:identifier "hal-00981843" ;
    dct:issued "2026-05-05T13:44:39.530172"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-05T13:44:39.530177"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Spectral minimal partitions for a family of tori" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00981843v1/resource/aeea54bc-7ac4-4709-a611-5a647d05fa41> ;
    dcat:keyword "finite-difference-method",
        "infoeu-reposemanticspreprint",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "minimal-partitions",
        "nodal-domains",
        "numerical-simulations",
        "preprints-working-papers-",
        "projected-gradient-algorithm",
        "shape-optimization",
        "spectral-theory",
        "tilings-of-the-torus" ;
    dcat:landingPage <https://hal.science/hal-00981843> .

<https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00981843v1/resource/aeea54bc-7ac4-4709-a611-5a647d05fa41> a dcat:Distribution ;
    dct:format "HTML" ;
    dct:issued "2026-05-05T13:44:39.531864"^^xsd:dateTime ;
    dct:modified "2026-05-05T13:44:39.516148"^^xsd:dateTime ;
    dct:title "Spectral minimal partitions for a family of tori" ;
    dcat:accessURL <https://hal.science/hal-00981843> .

<https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> a foaf:Agent ;
    foaf:name "test_moissonnage_selune" .

<https://hal.science/hal-00981843> a foaf:Document .