Homogenization of Multiple Integrals

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9780198502463: Homogenization of Multiple Integrals
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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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Braides, Andrea;Defranceschi, Anneliese
Edité par Cary, North Carolina, U.S.A.: Oxford Univ Pr on Demand (1999)
ISBN 10 : 019850246X ISBN 13 : 9780198502463
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Mima Mia Books
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Description du livre Cary, North Carolina, U.S.A.: Oxford Univ Pr on Demand, 1999. Hardcover. Etat : New. Language: eng Language: eng Language: eng Language: eng Language: eng Language: eng Language: eng Language: eng Language: eng. N° de réf. du vendeur V41

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Braides, Andrea
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ISBN 10 : 019850246X ISBN 13 : 9780198502463
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Description du livre OUP Oxford, 2016. Paperback. Etat : New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. N° de réf. du vendeur ria9780198502463_lsuk

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Andrea Braides, Anneliese Defranceschi
Edité par Oxford University Press, United Kingdom (1999)
ISBN 10 : 019850246X ISBN 13 : 9780198502463
Neuf Couverture rigide Quantité disponible : 1
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The Book Depository
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Description du livre Oxford University Press, United Kingdom, 1999. Hardback. Etat : New. Language: English . Brand New Book. 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 vendeur AAZ9780198502463

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Andrea Braides, Anneliese Defranceschi
Edité par Oxford University Press, United Kingdom (1999)
ISBN 10 : 019850246X ISBN 13 : 9780198502463
Neuf Couverture rigide Quantité disponible : 1
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Book Depository International
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Description du livre Oxford University Press, United Kingdom, 1999. Hardback. Etat : New. Language: English . Brand New Book. 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 vendeur AAZ9780198502463

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Andrea Braides; Anneliese Defranceschi
ISBN 10 : 019850246X ISBN 13 : 9780198502463
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Description du livre Etat : New. Bookseller Inventory # ST019850246X. N° de réf. du vendeur ST019850246X

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Braides, Andrea
Edité par Clarendon Press (1998)
ISBN 10 : 019850246X ISBN 13 : 9780198502463
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Description du livre Clarendon Press, 1998. HRD. Etat : New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. N° de réf. du vendeur GB-9780198502463

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Braides, Andrea
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Description du livre Clarendon Press, 1998. HRD. Etat : 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 vendeur IQ-9780198502463

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Andrea Braides; Anneliese Defranceschi
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HOMOGENIZATION OF MULTIPLE INTEGRALS (HARDBACK) -
ISBN 10 : 019850246X ISBN 13 : 9780198502463
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Description du livre Etat : NEW. 9780198502463 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. For all enquiries, please contact Herb Tandree Philosophy Books directly - customer service is our primary goal. N° de réf. du vendeur HTANDREE01544035

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Andrea Braides; Anneliese Defranceschi
Edité par OUP Oxford (1998)
ISBN 10 : 019850246X ISBN 13 : 9780198502463
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Ria Christie Collections
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Description du livre OUP Oxford, 1998. Etat : New. book. N° de réf. du vendeur ria9780198502463_rkm

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