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Well posedness and control in models based on conservation laws

Friday, July 31, 2009 - 9:00am - 9:50am
EE/CS 3-180
Rinaldo Colombo (Università di Brescia)
Given a model based on a conservation law, we study how the solution
depends from the initial/boundary datum, from the flow and from
various constraints. With this tool, several control problems can be
addressed and the existence of an optimal control can be
proved. Models describing escape dynamics of pedestrians, traffic at
toll gates, open canals management and fluid flow in gas pipelines
fall within this framework. In particular, a necessary condition for
optimality is obtained, which applies to a supply chain model.

MSC Code: 
35L65