Variational methods in some shape optimization problems

Name: Variational methods in some shape optimization problems
Brand: Springer, Berlin
SKU: 9788876422973
Price: 22.88 EUR
Availability: InStock

Autor: Dorin Bucur, Giuseppe Buttazzo

Jazyk:

Väzba: Brožovaná

Vydavateľ: Springer, Berlin

Dostupnosť: 50 % šanca

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The study of shape optimization problems is a very wide field, both classical, as the isoperimetric...

Informácie o knihe

Autor

Dorin Bucur, Giuseppe Buttazzo

Jazyk

Angličtina

Väzba

Kniha - Brožovaná

Vydalo

2002

Stránok

217

EAN

9788876422973

Enbook ID

01967763

Vydavateľ

Springer, Berlin

Hmotnosť

454

Rozmery

170 x 240 x 15

Kompletný popis

The study of shape optimization problems is a very wide field, both classical, as the isoperimetric problem and Newton problem of the best aerodynamical shape show, and modern, for all the recent results obtained in the last two, three decades. The fascinating feature is that the competing objects are shapes, i.e. domains of Rn, instead of functions, as usually occurs in problems of calculus of variations. This constraint often produces additional difficulties that lead to a lack of existence of a solution and the introduction of suitable relaxed formulations of the problem. However, in a few cases an optimal solution exists, due to the special form of the cost functional and to the geometrical restriction on the class of competing domains. This volume collects the lecture notes of two courses given in the academic year 2000/01 by the authors at the University of Pisa and at the Scuola Normale Superiore respectively. The courses were mainly addressed to Ph. D. students and required a background in the topics in functional analysis that are usually taught in undergraduate courses.

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