Weak periodic solutions and numerical case studies of the Fornberg-Whitham equation
Weak periodic solutions and numerical case studies of the Fornberg-Whitham equation
Spatially periodic solutions of the Fornberg-Whitham equation are studied to illustrate the mechanism of wave breaking and the formation of shocks for a large class of initial data. We show that these solutions can be considered to be weak solutions satisfying the entropy condition. By numerical experiments, we show that …