Global well-posedness for the viscous Camassa--Holm equation
The authors consider the initial value problem of Camassa-Holm equation with viscosity. They established global solution for the IVP with \(u_0\in L^2\). Their result is sharper than those in [\textit{M. Stanislavova} and \textit{A. Stefanov}, Discrete Contin. Dyn. Syst. 18, No. 1, 159--186 (2007; Zbl 1387.35502)] regarding the viscous version of the immediate effect in \(H^1_{x}(\mathbb R)\).
scientific article; zbMATH DE number 5083576