The flow is governed by a quasilinear hyperbolic model.

Since in the operation of the gas networks regular solutions without shocks are desirable, we imposeappropriate state and control constraint in order to guarantee that a classical solution is generated.

Due to a $W^{2,\infty}$-regularization term in the objective function, we can show the existence of an optimal control.

Moreover, we give conditions that guarantee that the control becomes constant a the end of the control time interval if the weight of the regularization term is sufficiently larg}, author = {Gugat, Martin and Sokolowski, Jan}, faupublication = {yes}, journal = {Pure and Applied Functional Analysis}, keywords = {gas pipeline flow; optimal control; regular solutions;}, pages = {1699-1715}, peerreviewed = {Yes}, title = {{On} problems of dynamic optimal nodal control for gas networks}, url = {http://yokohamapublishers.jp/online2/oppafa/vol7/p1699.html}, volume = {5}, year = {2022} }