ISBN: 9780198502463 - homogenization of multiple integrals (oxford lecture series in mathematics and its applications, vol.12) (8 Ergebnisse)

Zustand: Sehr gut. Zustand: Sehr gut | Seiten: 312 | Sprache: Englisch | Produktart: Bücher | Homogenization theory describes the macroscopic properties of structures with fine microstructure. Its applications are diverse and include optimal design and the study of composites. The theory relies on the asymptotic analysis of fast-oscillating differential equations or integral functionals. This book is an introduction to the homogenization of nonlinear integral functionals. It emphasizes general results that do not rely on smoothness or convexity assumptions. The book presents a rigorous mathematical description of the overall properties of such functionals, with various applications that range from cellular elastic materials to Riemannian metrics and Hamilton-Jacobi equations. The book also includes self-contained introductions to the theories of gamma-convergence and weak lower semicontinuous functionals.…

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Hardback. Zustand: New. The object of homogenization theory is the description of the macroscopic properties of structures with fine microstructure, covering a wide range of applications that run from the study of properties of composites to optimal design. The structures under consideration may model cellular elastic materials, fibred materials, stratified or porous media, or materials with many holes or cracks. In mathematical terms, this study can be translated in the asymptotic analysis of fast-oscillating differential equations or integral functionals. The book presents an introduction to the mathematical theory of homogenization of nonlinear integral functionals, with particular regard to those general results that do not rely on smoothness or convexity assumptions. Homogenization results and appropriate descriptive formulas are given for periodic and almost- periodic functionals. The applications include the asymptotic behaviour of oscillating energies describing cellular hyperelastic materials, porous media, materials with stiff and soft inclusions, fibered media, homogenization of HamiltonJacobi equations and Riemannian metrics, materials with multiple scales of microstructure and with multi-dimensional structure. The book includes a specifically designed, self-contained and up-to-date introduction to the relevant results of the direct methods of Gamma-convergence and of the theory of weak lower semicontinuous integral functionals depending on vector-valued functions. The book is based on various courses taught at the advanced graduate level. Prerequisites are a basic knowledge of Sobolev spaces, standard functional analysis and measure theory. The presentation is completed by several examples and exercises.…

Zustand: New. A rigorous mathematical description of the overall properties of fast-oscillating differential equations or integral functionals, which also includes an introduction to the theory of convergence and weak lower semicontinuous functionals. The text is volume number 12 in the OXFORD LECTURE SERIES IN MATHEMATICS AND ITS APPLICATIONS. Series: Oxford Lecture Series in Mathematics & Its Applications. Num Pages: 312 pages, bibliography, index, references. BIC Classification: PBKF; PBKL; PBKS; PDE; PHDD. Category: (P) Professional & Vocational. Dimension: 241 x 163 x 24. Weight in Grams: 642. . 1999. 1st Edition. Hardcover. . . . . Books ship from the US and Ireland.…

Hardback. Zustand: New. The object of homogenization theory is the description of the macroscopic properties of structures with fine microstructure, covering a wide range of applications that run from the study of properties of composites to optimal design. The structures under consideration may model cellular elastic materials, fibred materials, stratified or porous media, or materials with many holes or cracks. In mathematical terms, this study can be translated in the asymptotic analysis of fast-oscillating differential equations or integral functionals. The book presents an introduction to the mathematical theory of homogenization of nonlinear integral functionals, with particular regard to those general results that do not rely on smoothness or convexity assumptions. Homogenization results and appropriate descriptive formulas are given for periodic and almost- periodic functionals. The applications include the asymptotic behaviour of oscillating energies describing cellular hyperelastic materials, porous media, materials with stiff and soft inclusions, fibered media, homogenization of HamiltonJacobi equations and Riemannian metrics, materials with multiple scales of microstructure and with multi-dimensional structure. The book includes a specifically designed, self-contained and up-to-date introduction to the relevant results of the direct methods of Gamma-convergence and of the theory of weak lower semicontinuous integral functionals depending on vector-valued functions. The book is based on various courses taught at the advanced graduate level. Prerequisites are a basic knowledge of Sobolev spaces, standard functional analysis and measure theory. The presentation is completed by several examples and exercises.…

Zustand: New. A rigorous mathematical description of the overall properties of fast-oscillating differential equations or integral functionals, which also includes an introduction to the theory of convergence and weak lower semicontinuous functionals. The text is volume number 12 in the OXFORD LECTURE SERIES IN MATHEMATICS AND ITS APPLICATIONS. Series: Oxford Lecture Series in Mathematics & Its Applications. Num Pages: 312 pages, bibliography, index, references. BIC Classification: PBKF; PBKL; PBKS; PDE; PHDD. Category: (P) Professional & Vocational. Dimension: 241 x 163 x 24. Weight in Grams: 642. . 1999. 1st Edition. Hardcover. . . . .…