Variational Methods in Shape Optimization Problems: 65 (Progress in Nonlinear Differential Equations and Their Applications) - Hardcover

Bucur, Dorin; Buttazzo, Giuseppe

Hardcover

ISBN 10: 0817643591 ISBN 13: 9780817643591

Verlag: Birkhäuser, 2005

Inhaltsangabe

Shape optimization problems are treated from the classical and modern perspectives

Targets a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems

Requires only a standard knowledge in the calculus of variations, differential equations, and functional analysis

Driven by several good examples and illustrations

Poses some open questions.

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The study of shape optimization problems encompasses a wide spectrum of academic research with numerous applications to the real world. In this work these problems are treated from both the classical and modern perspectives and target a broad audience of graduate students in pure and applied mathematics, as well as engineers requiring a solid mathematical basis for the solution of practical problems.

Key topics and features:

* Presents foundational introduction to shape optimization theory

* Studies certain classical problems: the isoperimetric problem and the Newton problem involving the best aerodynamical shape, and optimization problems over classes of convex domains

* Treats optimal control problems under a general scheme, giving a topological framework, a survey of "gamma"-convergence, and problems governed by ODE

* Examines shape optimization problems with Dirichlet and Neumann conditions on the free boundary, along with the existence of classical solutions

* Studies optimization problems for obstacles and eigenvalues of elliptic operators

* Poses several open problems for further research

* Substantial bibliography and index

Driven by good examples and illustrations and requiring only a standard knowledge in the calculus of variations, differential equations, and functional analysis, the book can serve as a text for a graduate course in computational methods of optimal design and optimization, as well as an excellent reference for applied mathematicians addressing functional shape optimization problems.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2005
• Sprache: Englisch
• ISBN 10: 0817643591
• ISBN 13: 9780817643591
• Einband: Tapa dura
• Anzahl der Seiten: 228
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar