{"product_id":"variational-methods-in-shape-optimization-problems-9780817643591","title":"Variational Methods in Shape Optimization Problems","description":"\u003cp\u003e • Author(s): Dorin Bucur\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Birkhauser\u003cbr\u003e • BISAC: Linear \u0026amp; Nonlinear Programming\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThe 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.\u003c\/p\u003e \u003cp\u003eKey topics and features: \u003c\/p\u003e \u003cp\u003e* Presents foundational introduction to shape optimization theory\u003c\/p\u003e \u003cp\u003e* Studies certain classical problems: the isoperimetric problem and the Newton problem involving the best aerodynamical shape, and optimization problems over classes of convex domains\u003c\/p\u003e \u003cp\u003e* Treats optimal control problems under a general scheme, giving a topological framework, a survey of \"gamma\"-convergence, and problems governed by ODE\u003c\/p\u003e \u003cp\u003e* Examines shape optimization problems with Dirichlet and Neumann conditions on the free boundary, along with the existence of classical solutions\u003c\/p\u003e \u003cp\u003e* Studies optimization problems for obstacles and eigenvalues of elliptic operators\u003c\/p\u003e \u003cp\u003e* Poses several open problems for further research\u003c\/p\u003e \u003cp\u003e* Substantial bibliography and index\u003c\/p\u003e \u003cp\u003eDriven 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.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45275317502103,"sku":"9780817643591","price":3672.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780817643591.webp?v=1769282555","url":"https:\/\/atlanticbooks.com\/products\/variational-methods-in-shape-optimization-problems-9780817643591","provider":"Atlantic Books","version":"1.0","type":"link"}