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Local existence and blow-up criterion of the inhomogeneous Euler equations - MaRDI portal

Local existence and blow-up criterion of the inhomogeneous Euler equations (Q1402383)

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scientific article; zbMATH DE number 1971864
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Local existence and blow-up criterion of the inhomogeneous Euler equations
scientific article; zbMATH DE number 1971864

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    Local existence and blow-up criterion of the inhomogeneous Euler equations (English)
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    27 August 2003
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    Using Littlewood-Paley decomposition and elliptic estimates in critical Besov spaces, the authors obtain local in time existence and uniqueness results for solution of inhomogeneous incompressible Euler equations. They also derive a finite-time blow-up criterion for local solutions.
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    Littlewood-Paley decomposition
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    elliptic estimates
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    critical Besov spaces
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    uniqueness
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    local in time existence
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    finite-time blow-up
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