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Mathematical analysis of a Stefan problem with Dirichlet-Signorini boundary conditions appearing in polythermic ice sheet modeling - MaRDI portal

Mathematical analysis of a Stefan problem with Dirichlet-Signorini boundary conditions appearing in polythermic ice sheet modeling (Q5953088)

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scientific article; zbMATH DE number 1690956
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English
Mathematical analysis of a Stefan problem with Dirichlet-Signorini boundary conditions appearing in polythermic ice sheet modeling
scientific article; zbMATH DE number 1690956

    Statements

    Mathematical analysis of a Stefan problem with Dirichlet-Signorini boundary conditions appearing in polythermic ice sheet modeling (English)
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    2 July 2002
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    The existence of a weak solution for a two-phase Stefan problem with convection and mixed Signorini and Dirichlet boundary conditions is proved. The Signorini condition is expressed in terms of a monotone operator. To achieve the solution an implicit time discretization and a regularization procedure are used.
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    existence of a weak solution
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    two-phase Stefan problem
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    mixed Signorini and Dirichlet boundary conditions
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    monotone operator
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