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

Catherine Bandle; Alfred Wagner

Hardcover

ISBN 10: 3111025268 ISBN 13: 9783111025261

Publisher: De Gruyter, 2023

Synopsis

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.

About this title

About the Author

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

From the Back Cover

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.

Edition details

• Publisher: De Gruyter
• Publication date: 2023
• Language: English
• ISBN 10: 3111025268
• ISBN 13: 9783111025261
• Binding: Hardcover
• Number of pages: 280