Variational methods in some shape optimization problems

Name: Variational methods in some shape optimization problems
Brand: Springer, Berlin
SKU: 9788876422973
Price: 8106 HUF
Availability: InStock

Szerző: Dorin Bucur, Giuseppe Buttazzo

Nyelv:

Kötés: Puha kötésű

Kiadó: Springer, Berlin

Elérhetőség: 50 % esély

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

Információk a könyvről

Szerző

Dorin Bucur, Giuseppe Buttazzo

Nyelv

Angol

Kötés

Könyv - Puha kötésű

Kiadva

2002

oldal

217

EAN

9788876422973

Enbook ID

01967763

Kiadó

Springer, Berlin

Súly

454

Méretek

170 x 240 x 15

Teljes leírás

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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Variational methods in some shape optimization problems

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