Stability of scalar balance laws and scalar non-local conservation laws
Received: 17 September 2010
Accepted in revised form: 2 December 2010
Mathematics Subject Classification (2000): 35L65, 49K20, 93C20.
Keywords: Scalar balance law, L1 stability estimate, pedestrian traffic, non-local flow, continuity equation.
Abstract: We present here a stability result for the solutions of scalar balance laws. The estimates we obtained are then used to study the continuity equation with a non-local flow, which appears for example in a new model of pedestrian traffic and in a model of supply-chain.