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Systems Theory and PDEs

Open Problems, Recent Results, and New Directions

Felix L. Schwenninger Marcus Waurick

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English
Birkhauser Verlag AG
21 September 2024
This volume presents recent advances and open problems in the cross section of infinite-dimensional systems theory and the modern treatment of PDEs. Chapters are based on talks and problem sessions from the first “Workshop on Systems Theory and PDEs” (WOSTAP), held at TU Bergakademie Freiberg in July 2022. The main topics covered include:

Differential algebraic equations Port-Hamiltonian systems in both finite and infinite dimensions Highly nonlinear equations related to elasticity/plasticity Modeling of thermo-piezo-electromagnetism
Edited by:   ,
Imprint:   Birkhauser Verlag AG
Country of Publication:   Switzerland
Edition:   2024 ed.
Dimensions:   Height: 235mm,  Width: 155mm, 
ISBN:   9783031649905
ISBN 10:   3031649907
Series:   Trends in Mathematics
Pages:   256
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Hardback
Publisher's Status:   Active
On some Impedance Boundary Conditions for a Thermo-Piezo-Electromagnetic System.- A Note on Some Non-Local Boundary Conditions and their Use in Connection with Beltrami Fields.- Spectral Theory for Schrodinger Operators on Compact Metric Graphs with δ AND δ′ Couplings: A Survey.- Asymptotic Stability of port-Hamiltonian Systems.- Port-Hamiltonian Formulation of Oseen Floes.- On the equivalence of geometric and descriptor representations of linear port-Hamiltonian systems.- On Differential-Algebraic Equations with Bounded Spectrum in Banach Spaces.- BIBO stability for funnel control: semilinear internal dynamics with unbounded input and output operators.- On checking Lp-admissibility for parabolic control systems.

Marcus Waurick is University Professor and Chair for Partial Differential Equations at TU Bergakademie Freiberg, Germany. Felix Schwenninger  is Associate Professor at the University of Twente, Enschede, Netherlands.  

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