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On the global well-posedness of the viscous two-component Camassa-Holm system - MaRDI portal

On the global well-posedness of the viscous two-component Camassa-Holm system (Q417126)

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scientific article; zbMATH DE number 6034205
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On the global well-posedness of the viscous two-component Camassa-Holm system
scientific article; zbMATH DE number 6034205

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    On the global well-posedness of the viscous two-component Camassa-Holm system (English)
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    14 May 2012
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    Summary: We establish the local well-posedness for the viscous two-component Camassa-Holm system. Moreover, applying the energy identity, we obtain a global existence result for the system with \((u_0, \eta_0) \in H^1 (\mathbb R) \times L^2 (\mathbb R)\).
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