Global existence for the Cauchy problem for the viscous shallow water equations (Q1293522)

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scientific article; zbMATH DE number 1309871
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Global existence for the Cauchy problem for the viscous shallow water equations
scientific article; zbMATH DE number 1309871

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    Global existence for the Cauchy problem for the viscous shallow water equations (English)
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    16 December 1999
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    The author considers the shallow water equations being the simplest equation model to exhibit gravity waves. For the initial-value problem to the viscous shallow water equation one establishes the global existence and uniqueness of strong solution.
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    global existence
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    uniqueness
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    strong solution
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