Shape optimization and free boundaries
著者
書誌事項
Shape optimization and free boundaries
(NATO ASI series, Series C . Mathematical and physical sciences ; v. 380)
Kluwer Academic Publishers, c1992
大学図書館所蔵 全19件
  青森
  岩手
  宮城
  秋田
  山形
  福島
  茨城
  栃木
  群馬
  埼玉
  千葉
  東京
  神奈川
  新潟
  富山
  石川
  福井
  山梨
  長野
  岐阜
  静岡
  愛知
  三重
  滋賀
  京都
  大阪
  兵庫
  奈良
  和歌山
  鳥取
  島根
  岡山
  広島
  山口
  徳島
  香川
  愛媛
  高知
  福岡
  佐賀
  長崎
  熊本
  大分
  宮崎
  鹿児島
  沖縄
  韓国
  中国
  タイ
  イギリス
  ドイツ
  スイス
  フランス
  ベルギー
  オランダ
  スウェーデン
  ノルウェー
  アメリカ
注記
"Proceedings of the NATO Advanced Study Institute and Séminaire de mathématiques supérieures on Shape Optimization and Free Boundaries, Montréal, Canada, June 25-July 13, 1990"--T.p. verso
Includes index
内容説明・目次
内容説明
Shape optimization deals with problems where the design or control variable is no longer a vector of parameters or functions but the shape of a geometric domain. They include engineering applications to shape and structural optimization, but also original applications to image segmentation, control theory, stabilization of membranes and plates by boundary variations, etc.
Free and moving boundary problems arise in an impressingly wide range of new and challenging applications to change of phase. The class of problems which are amenable to this approach can arise from such diverse disciplines as combustion, biological growth, reactive geological flows in porous media, solidification, fluid dynamics, electrochemical machining, etc.
The objective and orginality of this NATO-ASI was to bring together theories and examples from shape optimization, free and moving boundary problems, and materials with microstructure which are fundamental to static and dynamic domain and boundary problems.
目次
Free boundary problems in geochemistry (with an Appendix by Riccardo Ricci).- Shape derivatives and differentiability of Min Max.- Some free boundary problems with industrial applications.- Problèmes de surfaces libres en mécanique des fluides.- Numerical structural optimization via a relaxed formulation.- Optimal shape design with applications to aerodynamics.- Approximation and localization of attractors.- Shape sensitivity analysis of variational inequalities.- Diffusion with strong absorption.- An introduction to the mathematical theory of the porous medium equation.- Asymptotic behaviour near extinction points for a semilinear equation with strong absorption.- to shape optimization problems and free boundary problems.
「Nielsen BookData」 より