Homogenization of Multiple Integrals

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9780198502463: Homogenization of Multiple Integrals

Book by Braides Andrea Defranceschi Anneliese

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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.

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Andrea Braides; Anneliese Defranceschi
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ISBN 10 : 019850246X ISBN 13 : 9780198502463
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Description du livre Clarendon Press. Hardcover. État : New. 019850246X New Condition. N° de réf. du libraire NEW4.0932404

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Andrea Braides; Anneliese Defranceschi
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Description du livre Cary, North Carolina, U.S.A.: Oxford Univ Pr on Demand, 1999. Hardcover. État : New. Language: eng Language: eng Language: eng. N° de réf. du libraire V41

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Andrea Braides; Anneliese Defranceschi
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Description du livre OUP Oxford, 2016. Paperback. État : New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. N° de réf. du libraire ria9780198502463_lsuk

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Andrea Braides; Anneliese Defranceschi
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Description du livre Clarendon Press, 1998. HRD. État : New. New Book.Shipped from US within 10 to 14 business days.THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. N° de réf. du libraire IP-9780198502463

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Andrea Braides; Anneliese Defranceschi
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Description du livre Oxford University Press, USA, 1999. Hardcover. État : New. N° de réf. du libraire DADAX019850246X

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Description du livre Clarendon Press, 1998. HRD. État : New. New Book. Delivered from our US warehouse in 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND.Established seller since 2000. N° de réf. du libraire IP-9780198502463

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Andrea Braides; Anneliese Defranceschi
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Description du livre Oxford University Press, United Kingdom, 1999. Hardback. État : New. 236 x 157 mm. Language: English . Brand New Book ***** Print on Demand *****.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. N° de réf. du libraire APC9780198502463

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Andrea Braides; Anneliese Defranceschi
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ISBN 10 : 019850246X ISBN 13 : 9780198502463
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Description du livre Oxford University Press, United Kingdom, 1999. Hardback. État : New. 236 x 157 mm. Language: English . Brand New Book ***** Print on Demand *****. 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. N° de réf. du libraire APC9780198502463

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Andrea Braides; Anneliese Defranceschi
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Description du livre OUP Oxford. Hardcover. État : New. Hardcover. 312 pages. Dimensions: 9.3in. x 6.2in. x 1.0in.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. This item ships from multiple locations. Your book may arrive from Roseburg,OR, La Vergne,TN. Hardcover. N° de réf. du libraire 9780198502463

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Andrea Braides; Anneliese Defranceschi
Edité par Oxford Univ Pr on Demand (1999)
ISBN 10 : 019850246X ISBN 13 : 9780198502463
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Description du livre Oxford Univ Pr on Demand, 1999. Hardcover. État : Brand New. 1st ed, 1st pr edition. 312 pages. 9.75x6.50x0.75 inches. In Stock. N° de réf. du libraire zk019850246X

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