LAUSR

We are concerned with the blowup phenomena of a dissipative Dullin–Gottwald–Holm equation which can describe unidirectional propagation of surface waves in a shallow water regime. A “local-in-space” blowup criterion is obtained by delicate analysis on the evolution of some linear combinations of the solution u and its derivative $$u_x$$ . The result is the improvement of E. Novruzov’s theorem on the dissipative Dullin–Gottwald–Holm equation with some special coefficients.