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Variational methods in some shape optimization problems

Jezik AngleščinaAngleščina
Knjiga Mehka
Založba Springer, Berlin, november 2001
The study of shape optimization problems is a very wide field, both classical, as the isoperimetric... Celoten opis
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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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Polni naslov Variational methods in some shape optimization problems
Jezik Angleščina
Vezava Knjiga - Mehka
Datum izida 2002
Število strani 217
EAN 9788876422973
Koda Libristo 01967763
Založba Springer, Berlin
Teža 454
Mere 170 x 240 x 15
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