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Author: Andrea Braides
Publisher: Oxford University Press
ISBN: 9780198502463
Category : Mathematics
Languages : en
Pages : 322
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Book Description
An introduction to the mathematical theory of the homogenization of multiple integrals, this book describes the overall properties of such functionals with various applications ranging from cellular elastic materials to Riemannian metrics.
Author: Andrea Braides
Publisher: Oxford University Press
ISBN: 9780198502463
Category : Mathematics
Languages : en
Pages : 322
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Book Description
An introduction to the mathematical theory of the homogenization of multiple integrals, this book describes the overall properties of such functionals with various applications ranging from cellular elastic materials to Riemannian metrics.
Author: Andrea Braides
Publisher: Springer Science & Business Media
ISBN: 354036546X
Category : Mathematics
Languages : en
Pages : 326
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Book Description
The study of variational problems showing multi-scale behaviour with oscillation or concentration phenomena is a challenging topic of very active research. This volume collects lecture notes on the asymptotic analysis of such problems when multi-scale behaviour derives from scale separation in the passage from atomistic systems to continuous functionals, from competition between bulk and surface energies, from various types of homogenization processes, and on concentration effects in Ginzburg-Landau energies and in subcritical growth problems.
Author: Gianni Dal Maso
Publisher: Springer Science & Business Media
ISBN: 1461203279
Category : Mathematics
Languages : en
Pages : 351
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Book Description
Author: Panos M. Pardalos
Publisher: Springer Science & Business Media
ISBN: 1441901582
Category : Business & Economics
Languages : en
Pages : 502
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Book Description
The chapters in this volume, written by international experts from different fields of mathematics, are devoted to honoring George Isac, a renowned mathematician. These contributions focus on recent developments in complementarity theory, variational principles, stability theory of functional equations, nonsmooth optimization, and several other important topics at the forefront of nonlinear analysis and optimization.
Author: Martin Jesenko
Publisher: Logos Verlag Berlin GmbH
ISBN: 383254478X
Category : Mathematics
Languages : en
Pages : 156
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Book Description
In the calculus of variations, the goal is to explore extrema of a given integral functional. From origins of the problem, it might be expected that the functional can be adequately simplified by neglecting some small quantities. A way to rigorously justify such an approximation is the Γ-convergence that ensures convergence of corresponding (global) extrema. The main motivation of this work is to investigate properties of doubly indexed integral functionals that Γ-converge for one index fixed. In other words, for two possible approximations we would like to determine whether we may perform them consecutively and if they commute. Our examples are taken from material science with homogenization being one of these two processes. In the first part we are considering a setting related to the elastic regime. However, our assumptions are fairly general and allow for applications in different areas. The second part is devoted to problems in the Hencky plasticity. They are considerably different due to special growth properties of the density.
Author: Jacques-Louis Lions
Publisher: World Scientific
ISBN: 9789812562265
Category : Mathematics
Languages : en
Pages : 316
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Book Description
This invaluable volume is a collection of articles in memory ofJacques-Louis Lions, a leading mathematician and the founder of theContemporary French Applied Mathematics School. The contributions havebeen written by his friends, colleagues and students, including CBardos, A Bensoussan, S S Chern, P G Ciarlet, R Glowinski, Gu Chaohao, B Malgrange, G Marchuk, O Pironneau, W Strauss, R Temam, etc
Author: Doina Cioranescu
Publisher:
ISBN:
Category : Composite materials
Languages : en
Pages : 456
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Book Description
Author: Bernard Dacorogna
Publisher: Springer Science & Business Media
ISBN: 0387552499
Category : Mathematics
Languages : en
Pages : 616
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Book Description
This book is developed for the study of vectorial problems in the calculus of variations. The subject is a very active one and almost half of the book consists of new material. This is a new edition of the earlier book published in 1989 and it is suitable for graduate students. The book has been updated with some new material and examples added. Applications are included.
Author: Michael Cwikel
Publisher: Walter de Gruyter
ISBN: 3110198053
Category : Mathematics
Languages : en
Pages : 473
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Book Description
This volume contains 16 refereed research articles on function spaces, interpolation theory and related fields. Topics covered: theory of function spaces, Hankel-type and related operators, analysis on bounded symmetric domains, partial differential equations, Green functions, special functions, homogenization theory, Sobolev embeddings, Coxeter groups, spectral theory and wavelets. The book will be of interest to both researchers and graduate students working in interpolation theory, function spaces and operators, partial differential equations and analysis on bounded symmetric domains.
Author: W. T. Tutte
Publisher: Clarendon Press
ISBN: 0191637785
Category : Mathematics
Languages : en
Pages : 164
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Book Description
This book provides a unique and unusual introduction to graph theory by one of the founding fathers, and will be of interest to all researchers in the subject. It is not intended as a comprehensive treatise, but rather as an account of those parts of the theory that have been of special interest to the author. Professor Tutte details his experience in the area, and provides a fascinating insight into how he was led to his theorems and the proofs he used. As well as being of historical interest it provides a useful starting point for research, with references to further suggested books as well as the original papers. The book starts by detailing the first problems worked on by Professor Tutte and his colleagues during his days as an undergraduate member of the Trinity Mathematical Society in Cambridge. It covers subjects such as comnbinatorial problems in chess, the algebraicization of graph theory, reconstruction of graphs, and the chromatic eigenvalues. In each case fascinating historical and biographical information about the author's research is provided.
