Perturbational Blowup Solutions to the Two-Component Dullin-Gottwald-Holm System

We construct a family of nonradially symmetric exact solutions for the two-component DGH system by the perturbational method. Depending on the parameters, the class of solutions includes both blowup type and global existence type

Blowup Phenomena for a Modified Dullin-Gottwald-Holm Shallow Water System

We discuss blowup phenomena for a modified two-component Dullin-Gottwald-Holm shallow water system. In this paper, some new blowup criteria of strong solutions involving the density and suitable integral form of the momentum are established