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On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system - MaRDI portal

On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system (Q5938844)

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scientific article; zbMATH DE number 1631038
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English
On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system
scientific article; zbMATH DE number 1631038

    Statements

    title
    On the initial boundary value problem for the Vlasov-Poisson-Boltzmann system (English)
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    author
    Stéphane Mischler
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    publication date
    7 August 2001
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    review text
    By proving a stability result for sequences of DiPerma-Lions renormalized solutions to the Boltzmann equation, the author establishes the existence of such global solutions for the initial boundary value problem associated to the Vlasov-Poisson-Boltzmann system.
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    zbMATH Keywords
    Boltzmann equation
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    DiPerma-Lions renormalized solutions
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    Vlasov-Poisson-Boltzmann system
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    global solutions
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    initial boundary value problem
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    Identifiers

    DOI
    10.1007/s002200050787
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    Mathematics Subject Classification ID
    45K05
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    76P05
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    82C40
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    zbMATH DE Number
    1631038
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    OpenAlex ID
    W2080169569
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