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The analysis and boundary optimal control of the nonlinear transport of gason a network of pipelines is considered. The evolution of the gas distributionon a given pipe is modeled by an isothermal semilinear compressible Eulersystem in one space dimension. On the network, solutions satisfying (at nodes)the so called Kirchhoff flux continuity conditions are shown to exist in aneighborhood of an equilibrium state. The associated nonlinear optimizationproblem then aims at steering such dynamics to a given target distribution bymeans of suitable (network) boundary controls while keeping the distributionwithin given (state) constraints. The existence of local optimal controls isestablished and a corresponding Karush-Kuhn-Tucker (KKT) stationarity systemwith an almost surely non-singular Lagrange multiplier is derived.

Optimal boundary control of the isothermal semilinear Euler equation for gas dynamics on a network