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:
Felix L. Schwenninger, Marcus Waurick 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:21 September 2024 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.