An identification problem for the friction parameter in a semilinear system of balance laws, describing the transport of gas through a passive network of pipelines, is considered. The existence of broad solutions to the state system is proven and sensitivity results for the corresponding solution operator are obtained. The existence of solutions to the output least squares formulation of the identification problem, based on noisy measurements over time at fixed spatial positions, is established. Finally, numerical experiments validate the theoretical findings.

中文翻译：

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识别通过网络进行气体传输的半线性系统中的摩擦函数

考虑了平衡律半线性系统中摩擦参数的识别问题，该问题描述了气体通过管道的无源网络的传输。证明了状态系统存在广泛的解决方案，并获得了相应解决方案运营商的灵敏度结果。建立了基于固定空间位置随时间的噪声测量得出的识别问题的输出最小二乘公式的解决方案。最后，数值实验验证了理论发现。