Shang, Yadong Initial-boundary value problems for a class of generalized KdV-Burgers equations. (Chinese. English summary) Zbl 0937.35164 Math. Appl. 9, No. 2, 166-171 (1996). Summary: This paper considers the initial-boundary value problem for the generalized KdV-Burgers equations with a third-order viscous term. Existence and uniqueness of a global solution are proved by means of a priori estimates and Galerkin method. The asymptotic behavior and “blow up” phenomenon of the solution are investigated under certain conditions. Cited in 1 Document MSC: 35Q53 KdV equations (Korteweg-de Vries equations) 35D05 Existence of generalized solutions of PDE (MSC2000) 35B40 Asymptotic behavior of solutions to PDEs Keywords:KdV-Burgers equation; global solution; Galerkin method; energy estimation; asymptotic behavior; blow up PDFBibTeX XMLCite \textit{Y. Shang}, Math. Appl. 9, No. 2, 166--171 (1996; Zbl 0937.35164)