@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#> .

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    dct:description """
              In this article, we consider hypersurfaces moving with normal velocity depending on the time-space coordinates and on the normal to the hypersurface. We naturally define a measure associated to this hypersurface. This measure is defined on a suitable space/unit normal/curvature configuration space. We show that, while the hypersurface stays smooth, then the measure is a solution to a linear transport equation, that we call a kinetic formulation. In the particular case of curves moving in the plane, we get a simple kinetic formulation. With this kinetic formulation in hands, it is then easy to complete the models of dislocations densities that were proposed in the 60's. As a consequence, we therefore propose a closed mean field model for the dynamics of dislocations densities.
            """ ;
    dct:identifier "hal-00091341" ;
    dct:issued "2026-05-07T23:35:42.229134"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-07T23:35:42.229139"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "A kinetic formulation of moving fronts and application to dislocations dynamics" ;
    dcat:contactPoint [ a vcard:Organization ;
            vcard:fn "CCSD" ] ;
    dcat:distribution <https://rec.harvest-normandie.data4citizen.com/dataset/oai-hal-hal-00091341v1/resource/b5d314fa-ac1b-4db8-9216-33bbf7058fff> ;
    dcat:keyword "curvature",
        "dislocations-densities",
        "dislocations-dynamics",
        "fronts",
        "infoeu-reposemanticspreprint",
        "kinetic-equation",
        "liouville-equation",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "normal-velocity",
        "preprints-working-papers-",
        "transport-equation" ;
    dcat:landingPage <https://hal.science/hal-00091341> .

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    dct:format "HTML" ;
    dct:issued "2026-05-07T23:35:42.232731"^^xsd:dateTime ;
    dct:modified "2026-05-07T23:35:42.216343"^^xsd:dateTime ;
    dct:title "A kinetic formulation of moving fronts and application to dislocations dynamics" ;
    dcat:accessURL <https://hal.science/hal-00091341> .

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    foaf:name "test_moissonnage_selune" .

<https://hal.science/hal-00091341> a foaf:Document .