16:00 - 17:00
Title: A solution theory for coupled systems of PDEs and switched DAEs
Abstract: A distributional solution framework is developed for systems consisting of linear hyperbolic partial differential equations (PDEs) and switched differential-algebraic equations (DAEs) which are coupled via boundary conditions. The unique solvability is then characterize in terms of a switched delay DAE. The theory is illustrated with an example of electric power lines modeled by the telegraph equations which are coupled via a switching transformer where simulations confirm the predicted impulsive solutions.
The colloquium will take place online in Google Meet. You can email the organizer for a link to the meeting.