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Continuity for bounded solutions of multiphase Stefan problem (Q1892723)

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scientific article; zbMATH DE number 766466
Language Label Description Also known as
English
Continuity for bounded solutions of multiphase Stefan problem
scientific article; zbMATH DE number 766466

    Statements

    title
    Continuity for bounded solutions of multiphase Stefan problem (English)
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    author
    Emmanuele DiBenedetto
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    Vincenzo Vespri
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    publication date
    25 July 1995
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    review text
    Summary: We establish the continuity of bounded local solutions of the equation \(\beta (u)_ t = \Delta u\). Here \(\beta\) is any coercive maximal monotone graph in \(\mathbb{R} \times \mathbb{R}\), bounded for bounded values of its argument. The multiphase Stefan problem and the Buckley-Leverett model of two immiscible fluids in a porous medium give rise to such singular equations.
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    zbMATH Keywords
    singular parabolic equations
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    regularity
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    Stefan problem
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    maximal monotone graphs
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    Identifiers

    zbMATH DE Number
    766466
    0 references
     
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