Hyperbolic PDEs model processes such as flow in pipes, water/gas distribution networks, power grids, irrigation channels, and road traffic—essentially, systems with transport phenomena and delays. A challenge in estimating parameters and states, as well as controlling these systems, arises from the fact that measurements and actuations are typically confined to the boundaries of the domain. This limitation is evident in scenarios like oil well drilling, where sensing and actuation occur on the rig, while potential faults that may threaten the safety of personnel, equipment integrity, and the environment, occur kilometers away near the bottom of the well. Examples of applications relevant to this project's FDIR (Fault detection, isolation and recovery) focus include the detection and localization of washout (a leak between the drill string and the well) and the identification and localization of mud loss (a leak from the well into the reservoir). More information and instructions on how to apply can be found here .
