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On the Global Well‐Posedness of the Viscous Two‐Component Camassa‐Holm System

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  • Xiuming Li

Abstract

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 (u0, η0) ∈ H1(ℝ) × L2(ℝ).

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Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:327572
DOI: 10.1155/2012/327572
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