Riv. Mat. Univ. Parma, Vol. 3, No. 1, 2012

Magali Lécureux-Mercier

Stability of scalar balance laws and scalar non-local conservation laws

Pages: 115-130
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.


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