We consider an integro-differential conservation law that models the slow erosion of the granular flow. In the model, the flux contains an integral term in the space variable. Depending on the assumptions on the erosion rate, the solutions exhibit various types of singularities, including blowing up of the gradient. We establish existence of BV solutions and their continuous dependence on the data, obtaining a Lipschitz semigroup. For the case with continuous profile, the solutions are unique.
|Titolo:||Slow Erosion of Granular Flow: Continuous and Discontinuous Profiles|
|Data di pubblicazione:||2014|
|Appare nelle tipologie:||4.1 Contributo in Atti di convegno|