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About the shock formation in multi-dimensional scalar conservation laws - MaRDI portal

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About the shock formation in multi-dimensional scalar conservation laws (Q6548648)

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scientific article; zbMATH DE number 7858540
Language Label Description Also known as
English
About the shock formation in multi-dimensional scalar conservation laws
scientific article; zbMATH DE number 7858540

    Statements

    title
    About the shock formation in multi-dimensional scalar conservation laws (English)
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    author
    Denis Serre
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    publication date
    1 June 2024
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    review text
    The author establishes a space-time integral estimate of the difference of two shock-free solutions to a non-degenerate multidimensional scalar conservation law. In particular case when one of this solution is a shift of the other solution, the obtained estimate allows to deduce the Besov regularity of shock-free solutions.
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    reviewed by
    Evgeniy Panov
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    zbMATH Keywords
    scalar conservation laws
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    non-degenerate flux
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    shock-free solutions
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    divergence-free tensors
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    compensated integrability
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    Burgers equation
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    shock formation
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    Identifiers

    Mathematics Subject Classification ID
    35L65
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    35L67
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    35B45
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    35B65
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    zbMATH DE Number
    7858540
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