Homogenization Of Multiple Integrals (Oxford Lecture Series In Mathematics And Its Applications),New

Homogenization Of Multiple Integrals (Oxford Lecture Series In Mathematics And Its Applications),New

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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 Fastoscillating 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 Hamiltonjacobi Equations. The Book Also Includes Selfcontained Introductions To The Theories Of Gammaconvergence And Weak Lower Semicontinuous Functionals.

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