Chengchun Hao
Discrete Contin. Dyn. Syst. Ser. B: 2010, 13(3), 593--608.
Abstract: 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.