Shape Optimization: Variations of Domains and Applications (De Gruyter Series in Nonlinear Analysis and Applications, 42) - Hardcover

Bandle, Catherine; Wagner, Alfred

Hardcover

ISBN 10: 3111025268 ISBN 13: 9783111025261

Verlag: De Gruyter, 2023

Inhaltsangabe

This book investigates how domain dependent quantities from geometry and physics behave when the domain is perturbed. Of particular interest are volume- and perimeter-preserving perturbations. The first and second derivatives with respect to the perturbation are exploited for domain functionals like eigenvalues, energies and geometrical quantities. They provide necessary conditions for optimal domains and are useful when global approaches like symmetrizations fail. The book is exampledriven and illustrates the usefulness of domain variations in various applications.

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Über die Autorin bzw. den Autor

Catherine Bandle, Universität Basel, Switzerland; Alfred Wagner, RWTH Aachen University, Germany.

Von der hinteren Coverseite

This book investigates how domain dependent quantities from geometry and physics behave when the domain is slightly perturbed. Of particular interest are volume or perimeter preserving perturbations. The first and second derivatives with respect to the perturbation are exploited for domain functionals like eigenvalues, energies and geometrical quantities. They provide necessary conditions for optimal domains and are useful when global approaches like symmetrizations fail. The book is example-driven and intends to illustrate the usefulness of domain variations in various applications.

Details zur Ausgabe

• Verlag: De Gruyter
• Erscheinungsdatum: 2023
• Sprache: Englisch
• ISBN 10: 3111025268
• ISBN 13: 9783111025261
• Einband: Gebundene Ausgabe
• Auflage: 1
• Anzahl der Seiten: 292
• Kontakt zum Hersteller: Walter de Gruyter GmbH; info@degruyter.com; ; Genthiner Straße 13; Berlin; Berlin; 10785; Deutschland