Lipschitz semigroup for an integro–differential equation for slow erosion
Rinaldo Colombo, Graziano Guerra and Wen Shen
Abstract: In this paper we study an integro-differential equation describing granular flow dynamics with slow erosion. This nonlinear partial differential equation is a conservation law where the flux contains an integral term. Through a generalized wave front tracking algorithm, approximate solutions are constructed and shown to converge strongly to a Lipschitz semigroup.