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Article Contents

# Cauchy problem for viscous shallow water equations with surface tension

• We are concerned with the Cauchy problem for a viscous shallow water system with a third-order surface-tension term. The global existence and uniqueness of the solution in the space of Besov type is shown for the initial data close to a constant equilibrium state away from the vacuum by using the Friedrich's regularization and compactness arguments.
Mathematics Subject Classification: Primary: 35Q35; Secondary: 76N10.

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