pyGasControls library (simulation software)

pyGasControls library (simulation software)

Author: Martin Gugat, Enrique Zuazua, Aleksey Sikstel, FAU DCN-AvH Code:   [HINT] To run the software on your computer, you may have to install additional standard software packages (like cmake and a c++ compiler) and additional libraries (lapack, PETSc).   In order to optimize the operation of gas transportation networks, as a first step a powerful simulation software is mandatory.…

Control of Advection-Diffusion Equations on Networks and Singular Limits

Control of Advection-Diffusion Equations on Networks and Singular Limits

Control of Advection-Diffusion Equations on Networks and Singular Limits By Jon Asier Bárcena-Petisco, Márcio Cavalcante, Giuseppe Maria Coclite, Nicola de Nitti and Enrique Zuazua Introduction In the past few decades, models based on partial differential equations have been very effective in tackling many problems dealing with flows on networks (e.g. irrigation channels, gas pipelines, blood circulation, vehicular traffic, supply chains,…

Averaged dynamics and control for heat equations with random diffusion

Averaged dynamics and control for heat equations with random diffusion

Averaged dynamics and control for heat equations with random diffusion By Jon Asier Bárcena Petisco, Enrique Zuazua Background and motivation Let us consider the random heat equation described by the following system: for a domain, a subdomain, a control, the initial configuration and the diffusivity coefficient, which is a positive random variable with density function . We have that the…

Inverse Design for Hamilton-Jacobi Equations

Inverse Design for Hamilton-Jacobi Equations

Inverse Design For Hamilton-Jacobi Equations By Carlos Esteve, Enrique Zuazua In many evolution models, the reconstruction of the initial state given an observation of the system at time represents a major challenge in mathematical modelling. Especially if it involves irreversible processes, where sometimes, different initial conditions can lead the system to the same state at time . In these cases,…

Flows on Networks

Flows on Networks

Flows on Networks By Enrique Zuazua, Nicola de Nitti   PDE models on Networks In the last few decades, models based on partial differential equations have been very effective in tackling many applied problems dealing with flows on networks. The areas of application include mainly the study of vehicular traffic, supply chains, irrigation channels, gas pipelines, blood circulation, air traffic…