Optimal Nodal Control Of Networked Systems Of Conservation Laws

• Applicants: Professor Dr. Axel Klar; Professor Dr. Günter Leugering
• Subject Area: Mathematics
• Term: from 2006 to 2010
• Project identifier: Deutsche Forschungsgemeinschaft (DFG) - Project number 25167393

We consider 2x2 systems of conservation laws in one space dimension on networks arising for example in the modelling of gas flow in pipeline networks and water flows in networks of open channels. The statement of coupling conditions in terms of Riemann problems allows for discontinuous solutions. The results are used to design appropriate and adaptive numerical schemes by exploiting the underlying network structure to solve optimization and control issues even for complex networks.

• DFG Programme: Priority Programmes
• Subproject of: SPP 1253: Optimisation with Partial Differential Equations