Tbilisi Analysis & PDE Seminar
Seminar of our partners (South Federal University, Rostov-on-Don)
Seminar on Analysis, Differential Equations and Mathematical Physics
Our Seminar
Tbilisi Analysis & PDE Seminar
Dear Colleagues! Institute of Mathematics of the University of Georgia is pleased to invite you to the Online Tbilisi Analysis & PDE Seminar. The seminar is held bi-weekly on Mondays at 20:00 local time in Tbilisi (compare to your local time https://www.timeanddate.com/worldclock/georgia/tbilisi).
Seminar on May 9, 2022
Speaker: Prof. Volker Mehrmann, TU Berlin, Germany; https://www.bimos.tu-berlin.de/menue/bimos_people/members/professors/volker_mehrmann/, https://en.wikipedia.org/wiki/Volker_Mehrmann
The title of the lecture: “Modeling analysis and numerical simulation of multi-physical systems: A change of paradigm”
Abstract: Most real-world dynamical systems consist of subsystems from different physical domains, modeled by partial-differential equations, ordinary differential equations, and algebraic equations, combined with input and output connections. To deal with such complex systems, in recent years the class of dissipative port-Hamiltonian (pH) systems have emerged as a very efficient new modeling methodology. The main reasons are that the network-based interconnection of pH systems is again pH, Galerkin projection in PDE discretization and model reduction preserves the pH structure and the physical properties are encoded in the geometric properties of the flow as well as the algebraic properties of the equations. Furthermore, dissipative pH system form a very robust representation under structured perturbations and directly indicates Lyapunov functions for stability analysis. We discuss dissipative pH systems and describe, how many classical models can be formulated in this class. We illustrate some of the nice algebraic properties, including local canonical forms, the formulation of an associated Dirac structure, and the local invariance under space-time dependent diffeomorphisms. The results are illustrated with some real-world examples.
Download poster: Link to Download
How to join: The seminar is organized on the Cisco Webex Meetings. If you are already registered, you don't need to register again. Otherwise, to join the seminar please send an e-mail to seminarim@ug.edu.ge or register here:
https://forms.gle/xfQJ9fg1uqe7CrZw6
You will then receive further information.
You can also join an online seminar without installing Webex, by just clicking on the meeting link of the seminar. You will be connected via browser e.g. Firefox, Google Chrome, Microsoft Edge or whatever.
Join from the meeting link: TBA
Organizers:
Secretary:
M. Tsaava, Institute of Mathematics, University of Georgia, Tbilisi
Technical support:
G. Tutberidze, Institute of Mathematics, University of Georgia, Tbilisi
Z. Vashakidze, Institute of Mathematics, University of Georgia, Tbilisi
