Author: Gregoire Allaire
Publisher: Springer New York
Keywords: method, homogenization, optimization, shape
Number of Pages: 476
Published: 2010-02-19
List price: $99.00
ISBN-10: 1441929428
ISBN-13: 9781441929426

"The book is very well structured, very clearly written, very well motivated, and complete in its treatment of modeling, analysis and simulation. It will be a basic reference for whoever wants to deeply understand homogenization from the point of view of its application to optimal design. The treatment is right to the point, a quality that is very much appreciated by readers. In summary, I believe this text may become a main source for the subject of optimal design and shape optimization." -Mathematical Reviews

Authors:Julie L. Lockwood, Michael L. McKinney,
Publisher: Springer
Keywords: homogenization, biotic
Number of Pages: 292
Published: 2001-05-31
List price: $99.00
ISBN-10: 0306465426
ISBN-13: 9780306465420

Biological homogenization is the dominant process shaping the future global biosphere. As global transportation becomes faster and more frequent, it is inevitable that biotic intermixing will increase. Unique local biotas will become extinct only to be replaced by already widespread biotas that can tolerate human activities. This process is affecting all aspects of our world: language, economies, and ecosystems alike. The ultimate outcome is the loss of uniqueness and the growth of uniformity. In this way, fast food restaurants exist in Moscow and Java Sparrows breed on Hawaii. Biolo

Author: Gregoire Allaire
Publisher: Springer
Keywords: method, homogenization, optimization, shape
Number of Pages: 480
Published: 2001-10-19
List price: $109.00
ISBN-10: 0387952985
ISBN-13: 9780387952987

"The book is very well structured, very clearly written, very well motivated, and complete in its treatment of modeling, analysis and simulation. It will be a basic reference for whoever wants to deeply understand homogenization from the point of view of its application to optimal design. The treatment is right to the point, a quality that is very much appreciated by readers. In summary, I believe this text may become a main source for the subject of optimal design and shape optimization." -Mathematical Reviews

Authors:G. A. Chechkin, A. L. Piatnitski, A. S. Shamaev,
Publisher: American Mathematical Society
Keywords: monographs, mathematical, translations, homogenization
Number of Pages: 234
Published: 2007-08-24
List price: $89.00
ISBN-10: 0821838733
ISBN-13: 9780821838730

Homogenization is a collection of powerful techniques in partial differential equations that are used to study differential operators with rapidly oscillating coefficients, boundary value problems with rapidly varying boundary conditions, equations in perforated domains, equations with random coefficients, and other objects of theoretical and practical interest. The book focuses on various aspects of homogenization theory and related topics. It comprises classical results and methods of homogenization theory, as well as modern subjects and techniques developed in the last decade. Special atten

Author: Ulrich Hornung
Publisher: Springer
Keywords: applied, mathematics, interdisciplinary, media, porous, homogenization
Number of Pages: 295
Published: 1996-11-26
List price: $134.00
ISBN-10: 0387947868
ISBN-13: 9780387947860

This book discusses methods and results from the theory of homogenization and their applications to flow and transport in porous media. It offers a systematic and rigorous treatment of upscaling procedures related to physical modeling for porous media on micro-, meso- and macro-scales. The chapters are devoted to percolation, Newtonian, non-Newtonian phenomena, two phase flow, miscible displacement, thermal and elastic effects. Detailed studies of micro-structure systems and computational results for dual-porosity models are presented. This book will be of interest to readers who want to learn

Author: Luc Tartar
Publisher: Springer
Keywords: notes, unione, matematica, italiana, lecture, introduction, theory, homogenization, personalized, general
Number of Pages: 471
Published: 2009-12-17
List price: $89.95
ISBN-10: 3642051944
ISBN-13: 9783642051944

Homogenization is not about periodicity, or Gamma-convergence, but about understanding which effective equations to use at macroscopic level, knowing which partial differential equations govern mesoscopic levels, without using probabilities (which destroy physical reality); instead, one uses various topologies of weak type, the G-convergence of Sergio Spagnolo, the H-convergence of François Murat and the author, and some responsible for the appearance of nonlocal effects, which many theories in continuum mechanics or physics guessed wrongly. For a better understanding of 20th century science

Authors:Luciano Carbone, Riccardo De Arcangelis,
Publisher: Chapman and Hall/CRC
Keywords: relaxation, homogenization, representation, variations, functionals, calculus, unbounded
Number of Pages: 408
Published: 2001-12-12
List price: $139.95
ISBN-10: 1584882352
ISBN-13: 9781584882350

Over the last few decades, research in elastic-plastic torsion theory, electrostatic screening, and rubber-like nonlinear elastomers has pointed the way to some interesting new classes of minimum problems for energy functionals of the calculus of variations. This advanced-level monograph addresses these issues by developing the framework of a general theory of integral representation, relaxation, and homogenization for unbounded functionals. The first part of the book builds the foundation for the general theory with concepts and tools from convex analysis, measure theory, and the theory of va