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@prefix vcard: <http://www.w3.org/2006/vcard/ns#> .
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              This note is devoted to the study of the finite volume methods used in the discretization of degenerate parabolic-hyperbolic equation with zero-flux boundary condition. The notion of an entropy-process solution, successfully used for the Dirichlet problem, is insufficient to obtain a uniqueness and convergence result because of a lack of regularity of solutions on the boundary. We infer the uniqueness of an entropy-process solution using the tool of the nonlinear semigroup theory by passing to the new abstract notion of integral-process solution. Then, we prove that numerical solution converges to the unique entropy solution as the mesh size tends to 0.
            """ ;
    dct:identifier "hal-00950142" ;
    dct:issued "2026-05-06T02:34:27.356568"^^xsd:dateTime ;
    dct:language "en" ;
    dct:modified "2026-05-06T02:34:27.356572"^^xsd:dateTime ;
    dct:publisher <https://rec.harvest-normandie.data4citizen.com/organization/cce9db95-46d9-4dc2-84b6-764215d0a002> ;
    dct:title "Convergence of finite volume scheme for degenerate parabolic problem with zero flux boundary condition" ;
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    dcat:keyword "35f31",
        "conference-papers",
        "degenerate-parabolic-problem",
        "entropy-solution",
        "finite-volume-scheme",
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        "integral-solution",
        "mathmath-apmathematics-mathanalysis-of-pdes-mathap",
        "mathmath-namathematics-mathnumerical-analysis-mathna",
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        "stationary-problem" ;
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    dct:issued "2026-05-06T02:34:27.358377"^^xsd:dateTime ;
    dct:modified "2026-05-06T02:34:27.336533"^^xsd:dateTime ;
    dct:title "Convergence of finite volume scheme for degenerate parabolic problem with zero flux boundary condition" ;
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