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Systems Theory and PDEs


Systems Theory and PDEs

Open Problems, Recent Results, and New Directions
Trends in Mathematics

von: Felix L. Schwenninger, Marcus Waurick

CHF 260.00

Verlag: Birkhäuser
Format: PDF
Veröffentl.: 20.09.2024
ISBN/EAN: 9783031649912
Sprache: englisch

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Beschreibungen

<p>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),&nbsp;held at TU Bergakademie Freiberg in July 2022. The main topics covered include:</p>

<ul>
<li>Differential algebraic equations</li>
<li>Port-Hamiltonian systems in both finite and infinite dimensions</li>
<li>Highly nonlinear equations related to elasticity/plasticity</li>
<li>Modeling of thermo-piezo-electromagnetism</li>
</ul>
<p>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.</p>
<p><strong>Marcus Waurick </strong>is University Professor and Chair for Partial Differential Equations at TU Bergakademie Freiberg, Germany.</p>

<p><strong>Felix Schwenninger&nbsp; </strong>is Associate Professor at the University of Twente, Enschede, Netherlands.</p>

<p>&nbsp;</p>
<p>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),&nbsp;held at TU Bergakademie Freiberg in July 2022. The main topics covered include:</p>

<ul>
<li>Differential algebraic equations</li>
<li>Port-Hamiltonian systems in both finite and infinite dimensions</li>
<li>Highly nonlinear equations related to elasticity/plasticity</li>
<li>Modeling of thermo-piezo-electromagnetism</li>
</ul>
Presents recent advances and open problems in the area of systems theory and PDEs Highlights a number of important topics at this active cross section of research Features chapters based on the first “Workshop on Systems Theory and PDEs” held at TU Bergakademie Freiberg, July 2022

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