SCO colloquium: Stephan Trenn


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.

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