Homogenization Of Differential Operators And Integral Functionals
DOWNLOAD
Download Homogenization Of Differential Operators And Integral Functionals PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Homogenization Of Differential Operators And Integral Functionals book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Homogenization Of Differential Operators And Integral Functionals
DOWNLOAD
Author : V.V. Jikov
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Homogenization Of Differential Operators And Integral Functionals written by V.V. Jikov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
It was mainly during the last two decades that the theory of homogenization or averaging of partial differential equations took shape as a distinct mathe matical discipline. This theory has a lot of important applications in mechanics of composite and perforated materials, filtration, disperse media, and in many other branches of physics, mechanics and modern technology. There is a vast literature on the subject. The term averaging has been usually associated with the methods of non linear mechanics and ordinary differential equations developed in the works of Poincare, Van Der Pol, Krylov, Bogoliubov, etc. For a long time, after the works of Maxwell and Rayleigh, homogeniza tion problems for· partial differential equations were being mostly considered by specialists in physics and mechanics, and were staying beyond the scope of mathematicians. A great deal of attention was given to the so called disperse media, which, in the simplest case, are two-phase media formed by the main homogeneous material containing small foreign particles (grains, inclusions). Such two-phase bodies, whose size is considerably larger than that of each sep arate inclusion, have been discovered to possess stable physical properties (such as heat transfer, electric conductivity, etc.) which differ from those of the con stituent phases. For this reason, the word homogenized, or effective, is used in relation to these characteristics. An enormous number of results, approximation formulas, and estimates have been obtained in connection with such problems as electromagnetic wave scattering on small particles, effective heat transfer in two-phase media, etc.
Homogenization Of Differential Operators And Integral Functionals
DOWNLOAD
Author : V V Jikov
language : en
Publisher:
Release Date : 1994-09-08
Homogenization Of Differential Operators And Integral Functionals written by V V Jikov and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-09-08 with categories.
This book is an extensive study of the theory of homogenization of partial differential equations. This theory has become increasingly important in the last two decades and it forms the basis for numerous branches of physics like the mechanics of composite and perforated materials, filtration and disperse media. The book contains new methods to study homogenization problems, which arise in mathematics, science and engineering. It provides the basis for new research devoted to these problems and it is the first comprehensive monograph in this field. It will become an indispensable reference for graduate students in mathematics, physics and engineering.
Homogenization Of Some Partial Differential Operators And Integral Functionals
DOWNLOAD
Author : Peter Wall
language : en
Publisher:
Release Date : 1998
Homogenization Of Some Partial Differential Operators And Integral Functionals written by Peter Wall and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with categories.
Homogenization Of Multiple Integrals
DOWNLOAD
Author : Andrea Braides
language : en
Publisher: Oxford University Press
Release Date : 1998
Homogenization Of Multiple Integrals written by Andrea Braides and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.
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.
Formulae And Bounds Connected To Optimal Design And Homogenization Of Partial Differential Operators And Integral Functionals
DOWNLOAD
Author :
language : en
Publisher:
Release Date : 1996
Formulae And Bounds Connected To Optimal Design And Homogenization Of Partial Differential Operators And Integral Functionals written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with categories.
An Introduction To Convergence
DOWNLOAD
Author : Gianni Dal Maso
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
An Introduction To Convergence written by Gianni Dal Maso and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.
Homogenization Of Partial Differential Equations
DOWNLOAD
Author : Vladimir A. Marchenko
language : en
Publisher: Springer Science & Business Media
Release Date : 2006
Homogenization Of Partial Differential Equations written by Vladimir A. Marchenko and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Mathematics categories.
A comprehensive study of homogenized problems, focusing on the construction of nonstandard models Details a method for modeling processes in microinhomogeneous media (radiophysics, filtration theory, rheology, elasticity theory, and other domains) Complete proofs of all main results, numerous examples Classroom text or comprehensive reference for graduate students, applied mathematicians, physicists, and engineers
Mathematical Problems In Elasticity And Homogenization
DOWNLOAD
Author : O.A. Oleinik
language : en
Publisher: Elsevier
Release Date : 2009-06-15
Mathematical Problems In Elasticity And Homogenization written by O.A. Oleinik and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-06-15 with Mathematics categories.
This monograph is based on research undertaken by the authors during the last ten years. The main part of the work deals with homogenization problems in elasticity as well as some mathematical problems related to composite and perforated elastic materials. This study of processes in strongly non-homogeneous media brings forth a large number of purely mathematical problems which are very important for applications. Although the methods suggested deal with stationary problems, some of them can be extended to non-stationary equations. With the exception of some well-known facts from functional analysis and the theory of partial differential equations, all results in this book are given detailed mathematical proof. It is expected that the results and methods presented in this book will promote further investigation of mathematical models for processes in composite and perforated media, heat-transfer, energy transfer by radiation, processes of diffusion and filtration in porous media, and that they will stimulate research in other problems of mathematical physics and the theory of partial differential equations.
G Convergence And Homogenization Of Nonlinear Partial Differential Operators
DOWNLOAD
Author : A.A. Pankov
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-04-17
G Convergence And Homogenization Of Nonlinear Partial Differential Operators written by A.A. Pankov and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-17 with Mathematics categories.
Various applications of the homogenization theory of partial differential equations resulted in the further development of this branch of mathematics, attracting an increasing interest of both mathematicians and experts in other fields. In general, the theory deals with the following: Let Ak be a sequence of differential operators, linear or nonlinepr. We want to examine the asymptotic behaviour of solutions uk to the equation Auk = f, as k ~ =, provided coefficients of Ak contain rapid oscillations. This is the case, e. g. when the coefficients are of the form a(e/x), where the function a(y) is periodic and ek ~ 0 ask~=. Of course, of oscillation, like almost periodic or random homogeneous, are of many other kinds interest as well. It seems a good idea to find a differential operator A such that uk ~ u, where u is a solution of the limit equation Au = f Such a limit operator is usually called the homogenized operator for the sequence Ak . Sometimes, the term "averaged" is used instead of "homogenized". Let us look more closely what kind of convergence one can expect for uk. Usually, we have some a priori bound for the solutions. However, due to the rapid oscillations of the coefficients, such a bound may be uniform with respect to k in the corresponding energy norm only. Therefore, we may have convergence of solutions only in the weak topology of the energy space.
Theory Of Functionals And Of Integral And Integro Differential Equations
DOWNLOAD
Author : Vito Volterra
language : en
Publisher:
Release Date : 1959
Theory Of Functionals And Of Integral And Integro Differential Equations written by Vito Volterra and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1959 with Differential equations categories.