Composite materials are widely used in industry and include such well known examples as superconductors and optical fibers. However, modeling these materials is difficult, since they often has different properties at different points. The mathematical theory of homogenization is designed to handle this problem. The theory uses an idealized homogenous material to model a real composite while taking into account the microscopic structure. This introduction to homogenization theory develops the natural framework of the theory with four chapters on variational methods for partial differential equations. It then discusses the homogenization of several kinds of second-order boundary value problems. It devotes separate chapters to the classical examples of stead and non-steady heat equations, the wave equation, and the linearized system of elasticity. It includes numerous illustrations and examples.

An Introduction to Homogenization (Oxford Lecture Series in Mathematics and Its Applications)

Science & Math

Cioranescu, Doina

Donato, Patrizia

Mathematics

Oxford University Press

Materials science is an area of growing research as composite materials become widely used in such areas as civil engineering, electrotechnics, and the aerospace industry. This mathematically rigorous treatment of lattice-type structures will appeal to both applied mathematicians, as well as engineers looking for a solid mathematical foundation of the methodology.

Homogenization of Reticulated Structures (Applied Mathematical Sciences)

Springer

This book contains the written versions of lectures delivered since 1997 in the well-known weekly seminar on Applied Mathematics at the Collège de France in Paris, directed by Jacques-Louis Lions. It is the 14th and last of the series, due to the recent and untimely death of Professor Lions. The texts in this volume deal mostly with various aspects of the theory of nonlinear partial differential equations. They present both theoretical and applied results in many fields of growing importance such as Calculus of variations and optimal control, optimization, system theory and control, operations research, fluids and continuum mechanics, nonlinear dynamics, meteorology and climate, homogenization and material science, numerical analysis and scientific computations The book is of interest to everyone from postgraduate, who wishes to follow the most recent progress in these fields.

Nonlinear Partial Differential Equations and Their Applications: College de France Seminar Volume XIV (Volume 31) (Studies in Mathematics and its Applications, Volume 31)

Lions, Jaques-Louis

North-Holland

This book presents the texts of selected lectures on recent work in the field of nonlinear partial differential equations delivered by leading international experts at the well-established weekly seminar held at the Collège de France. Emphasis is on applications to numerous areas, including control theory, theoretical physics, fluid and continuum mechanics, free boundary problems, dynamical systems, scientific computing, numerical analysis, and engineering. Proceedings of this seminar will be of particular interest to postgraduate students and specialists in the area of nonlinear partial differential equations.

Nonlinear Partial Differential Equations and Their Applications: Collge de France Seminar Volume XVIII (Chapman & Hall/CRC Research Notes in Mathematics Series)

Lions, Jacques-Louis

CRC-Press

Materials science is an area of growing research as composite materials become widely used in such areas as civil engineering, electrotechnics, and the aerospace industry. This mathematically rigorous treatment of lattice-type structures will appeal to both applied mathematicians, as well as engineers looking for a solid mathematical foundation of the methodology.

Computers & Technology

Saint Jean Paulin, Jeannine

Computer Science

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Books by Cioranescu, Doina

See the best price to sell, buy, or rent books by Cioranescu, Doina. BookScouter helps to compare book prices from 25+ online bookstores and 30+ buyback vendors with a single search.

An Introduction to Homogenization (Oxford Lecture Series in Mathematics and Its Applications)

Homogenization of Reticulated Structures (Applied Mathematical Sciences)

Nonlinear Partial Differential Equations and Their Applications: College de France Seminar Volume XIV (Volume 31) (Studies in Mathematics and its Applications, Volume 31)

Nonlinear Partial Differential Equations and Their Applications: Collge de France Seminar Volume XVIII (Chapman & Hall/CRC Research Notes in Mathematics Series)

Homogenization of Reticulated Structures (Applied Mathematical Sciences)