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Existence and asymptotic results for a system of integro-partial differential equations - MaRDI portal

Existence and asymptotic results for a system of integro-partial differential equations (Q1906300)

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scientific article; zbMATH DE number 843663
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Existence and asymptotic results for a system of integro-partial differential equations
scientific article; zbMATH DE number 843663

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    Existence and asymptotic results for a system of integro-partial differential equations (English)
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    10 September 1996
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    The paper is concerned with a non-Fourier phase field model of a solidification process expressed by an initial-boundary value problem for a system of integro-partial differential equations with delay. The authors prove the global existence and uniqueness of the solution and investigate the regularity and the asymptotic behavior of the solution as \(t\to \infty\).
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    solidification process
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    global existence and uniqueness
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