@prefix dcat: . @prefix dct: . @prefix foaf: . @prefix vcard: . @prefix xsd: . a dcat:Dataset ; dct:description """ This work is devoted to the study of a problem resulting from plasma physics: heat transfer of electrons in a plasma close to Maxwellian equilibrium. Firstly, the asymptotic regime of Spitzer-Harm is studied. A model proposed by Schurtz and Nicolai is analyzed and located in the context of hydrodynamic limits outside of the strictly asymptotic. The link to non-local models of Luciani and Mora is established, as well as the mathematical properties such as the principle of maximum and entropy dissipation. Then, a formal derivation from the Vlasov equations is proposed. A hierarchy of intermediate models between the kinetic equations and the hydrodynamic limit is described. In particular, a new system hydrodynamics, integro-differential in nature, is proposed. The system Schurtz and Nicolai appears as a simplification of the system resulting from the diversion. The existence and uniqueness of the solution of the nonstationary system are established in a simplified framework. The last part is devoted to the implementation of a specific numerical scheme for solving these models. We propose a finite volume approach can be effective on unstructured grids. The accuracy of this scheme to capture specific effects such as kinetic, which may not be reproduced by the asymptotic Spitzer-Harm model. The consistency of this pattern with that of the Spitzer-Harm equation is highlighted, paving the way for a strategy of coupling between the two models. """ ; dct:identifier "NNT: 2011LIL140591" ; dct:issued "2026-05-14T05:38:24.512008"^^xsd:dateTime ; dct:language "fr" ; dct:modified "2026-05-14T05:38:24.512015"^^xsd:dateTime ; dct:publisher ; dct:title "Intermediaite Modeling betwenn Kinetic Equations and Hydrodynamic Limites: Derivation, Analysis and Simulations" ; dcat:contactPoint [ a vcard:Organization ; vcard:fn "CCSD" ] ; dcat:distribution ; dcat:keyword "equation-cinetique", "finite-volume-scheme", "hydrodynamic-limit", "infoeu-reposemanticsdoctoralthesis", "kinetic-equation", "limite-hydrodynamique", "maillage-non-structures", "mathmath-apmathematics-mathanalysis-of-pdes-mathap", "modele-non-locale", "non-local-model", "physique-des-plasmas", "plasma-physic", "regime-de-spitzer-harm", "schema-volumes-finis", "spitzer-harm-regime", "theses", "unstructured-grid" ; dcat:landingPage . a dcat:Distribution ; dct:format "HTML" ; dct:issued "2026-05-14T05:38:24.524538"^^xsd:dateTime ; dct:modified "2026-05-14T05:38:24.473888"^^xsd:dateTime ; dct:title "Intermediaite Modeling betwenn Kinetic Equations and Hydrodynamic Limites: Derivation, Analysis and Simulations" ; dcat:accessURL . a foaf:Agent ; foaf:name "test_moissonnage_selune" . a foaf:Document .