@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 """
              This thesis is organized around two aspects of the study of partial differentialequations. In a first part, we study the stability of periodic solutions for conservationlaws. First, we prove asymptotic L1-stability of periodic solutions of scalarinhomogeneous conservation laws. Then, we show a result on structural stability ofroll-waves. More precisely, we prove that periodic solutions of a hyperbolic systemwithout viscosity are the limits of the solutions of the problem with viscosity, as theviscous term tends to 0. In a second part, we study a system of partial differentialequations derived from biology: the model of Patlak-Keller-Segel in dimension 2, describingthe phenomena of chemotaxis. For this model, we construct a finite-volumescheme, which approaches the solution while keeping some properties of the system:positivity, conservation of mass, energy estimate.
            """ ;
    dct:identifier "NNT: 2010LYO10091" ;
    dct:issued "2026-05-10T07:32:22.099721"^^xsd:dateTime ;
    dct:language "fr" ;
    dct:modified "2026-05-10T07:32:22.099725"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Stability of periodic waves, numerical scheme for chemiotaxis" ;
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    dcat:keyword "asymptotic-l1-stability",
        "chemiotaxis",
        "chimiotactisme",
        "equations-aux-derivees-partielles",
        "infoeu-reposemanticsdoctoralthesis",
        "mathmath-gmmathematics-mathgeneral-mathematics-mathgm",
        "ondes-periodiques",
        "partial-differential-equations",
        "periodic-waves",
        "stabilite-asymptotique",
        "theses" ;
    dcat:landingPage <https://theses.hal.science/tel-00845883> .

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    dct:issued "2026-05-10T07:32:22.100988"^^xsd:dateTime ;
    dct:modified "2026-05-10T07:32:22.085693"^^xsd:dateTime ;
    dct:title "Stability of periodic waves, numerical scheme for chemiotaxis" ;
    dcat:accessURL <https://theses.hal.science/tel-00845883> .

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