Read Books Online and Download eBooks, EPub, PDF, Mobi, Kindle, Text Full Free.
Download G Convergence And Homogenization Of Nonlinear Partial Differential Operators full books in PDF, epub, and Kindle. Read online G Convergence And Homogenization Of Nonlinear Partial Differential Operators ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!
Author : A. A. Pankov
Publisher :
ISBN 13 : 9789401589581
Total Pages : 278 pages
Book Rating : 4.5/5 (895 download)
Download or read book G-Convergence and Homogenization of Nonlinear Partial Differential Operators written by A. A. Pankov and published by . This book was released on 2014-01-15 with total page 278 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A.A. Pankov
Publisher : Springer Science & Business Media
ISBN 13 : 9401589577
Total Pages : 269 pages
Book Rating : 4.4/5 (15 download)
Download or read book G-Convergence and Homogenization of Nonlinear Partial Differential Operators written by A.A. Pankov and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 269 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Nils Svanstedt
Publisher :
ISBN 13 :
Total Pages : 119 pages
Book Rating : 4.:/5 (186 download)
Download or read book G-convergence and Homogenization of Sequences of Linear and Nonlinear Partial Differential Operators written by Nils Svanstedt and published by . This book was released on 1992 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : V.V. Jikov
Publisher : Springer Science & Business Media
ISBN 13 : 3642846599
Total Pages : 583 pages
Book Rating : 4.6/5 (428 download)
Download or read book Homogenization of Differential Operators and Integral Functionals written by V.V. Jikov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Patrizia Donato
Publisher : Springer Nature
ISBN 13 : 3030620301
Total Pages : 122 pages
Book Rating : 4.0/5 (36 download)
Download or read book Emerging Problems in the Homogenization of Partial Differential Equations written by Patrizia Donato and published by Springer Nature. This book was released on 2021-02-01 with total page 122 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book contains some of the results presented at the mini-symposium titled Emerging Problems in the Homogenization of Partial Differential Equations, held during the ICIAM2019 conference in Valencia in July 2019. The papers cover a large range of topics, problems with weak regularity data involving renormalized solutions, eigenvalue problems for complicated shapes of the domain, homogenization of partial differential problems with strongly alternating boundary conditions of Robin type with large parameters, multiscale analysis of the potential action along a neuron with a myelinated axon, and multi-scale model of magnetorheological suspensions. The volume is addressed to scientists who deal with complex systems that presents several elements (characteristics, constituents...) of very different scales, very heterogeneous, and search for homogenized models providing an effective (macroscopic) description of their behaviors.
Author : Doina Cioranescu
Publisher : Elsevier
ISBN 13 : 0080537677
Total Pages : 665 pages
Book Rating : 4.0/5 (85 download)
Download or read book Nonlinear Partial Differential Equations and Their Applications written by Doina Cioranescu and published by Elsevier. This book was released on 2002-06-21 with total page 665 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Author : Luc Tartar
Publisher : Springer Science & Business Media
ISBN 13 : 3642051952
Total Pages : 466 pages
Book Rating : 4.6/5 (42 download)
Download or read book The General Theory of Homogenization written by Luc Tartar and published by Springer Science & Business Media. This book was released on 2009-12-03 with total page 466 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, new mathematical tools must be introduced, like the author’s H-measures, variants by Patrick Gérard, and others yet to be discovered.
Download or read book Homogenization of Nonlinear Partial Differential Operators written by and published by . This book was released on 1999 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Luigi Ambrosio
Publisher : Springer Science & Business Media
ISBN 13 : 3540759131
Total Pages : 213 pages
Book Rating : 4.5/5 (47 download)
Download or read book Calculus of Variations and Nonlinear Partial Differential Equations written by Luigi Ambrosio and published by Springer Science & Business Media. This book was released on 2008-01-02 with total page 213 pages. Available in PDF, EPUB and Kindle. Book excerpt: With a historical overview by Elvira Mascolo
Author : Gianni Dal Maso
Publisher : Springer Science & Business Media
ISBN 13 : 9780817636791
Total Pages : 368 pages
Book Rating : 4.6/5 (367 download)
Download or read book An Introduction to G-Convergence written by Gianni Dal Maso and published by Springer Science & Business Media. This book was released on 1993 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: The last twentyfive years have seen an increasing interest for variational convergences and for their applications to different fields, like homogenization theory, phase transitions, singular perturbations, boundary value problems in wildly perturbed domains, approximation of variatonal problems, and non smooth analysis. Among variational convergences, De Giorgi's r-convergence plays a cen tral role for its compactness properties and for the large number of results concerning r -limits of integral functionals. Moreover, almost all other varia tional convergences can be easily expressed in the language of r -convergence. This text originates from the notes of the courses on r -convergence held by the author in Trieste at the International School for Advanced Studies (S. I. S. S. A. ) during the academic years 1983-84,1986-87, 1990-91, and in Rome at the Istituto Nazionale di Alta Matematica (I. N. D. A. M. ) during the spring of 1987. This text is far from being a treatise on r -convergence and its appli cations.
Author : Nils Svanstedt
Publisher :
ISBN 13 :
Total Pages : 119 pages
Book Rating : 4.:/5 (518 download)
Download or read book G-convergence and Homogenization of Sequences of Linear and Non-linear Partial Diffential Operators written by Nils Svanstedt and published by . This book was released on 1992 with total page 119 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Gabriel R. Barrenechea
Publisher : Springer
ISBN 13 : 3319416405
Total Pages : 443 pages
Book Rating : 4.3/5 (194 download)
Download or read book Building Bridges: Connections and Challenges in Modern Approaches to Numerical Partial Differential Equations written by Gabriel R. Barrenechea and published by Springer. This book was released on 2016-10-03 with total page 443 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains contributed survey papers from the main speakers at the LMS/EPSRC Symposium “Building bridges: connections and challenges in modern approaches to numerical partial differential equations”. This meeting took place in July 8-16, 2014, and its main purpose was to gather specialists in emerging areas of numerical PDEs, and explore the connections between the different approaches. The type of contributions ranges from the theoretical foundations of these new techniques, to the applications of them, to new general frameworks and unified approaches that can cover one, or more than one, of these emerging techniques.
Author : Gianni Dal Maso
Publisher : Springer Science & Business Media
ISBN 13 : 1468467875
Total Pages : 264 pages
Book Rating : 4.4/5 (684 download)
Download or read book Composite Media and Homogenization Theory written by Gianni Dal Maso and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the Proceedings of the Workshop on Composite Media and Homogenization Theory held in Trieste, Italy, from January 15 to 26, 1990. The workshop was organized by the International Centre for Theo retical Physics (ICTP); part of the activity was co-sponsored by the Interna tional School for Advanced Studies (SISSA). The workshop covered a broad range of topics in the mathematical the ory of composite materials and homogenization. Among the specific areas of focus were homogenization of periodic and nonperiodic structures, porous me dia, asymptotic analysis for linear and nonlinear problems, optimal bounds for effective moduli, waves in composite materials, optimal design and relaxation, random media. The workshop was actively attended by more than 100 participants from 23 countries. In the afternoon sessions 35 seminars were delivered by the participants. This volume contains research articles corresponding to 14 of the 20 invited talks which were presented. Its content will be of interest both to mathematicians working in the field and to applied mathematicians and engineers interested in modelling the behaviour of composite and random media We are pleased to express here our thanks to the ICTP for having made this workshop possible, to Ms. A. Bergamo for her continuous help during the workshop, and to Ms. C. Parma for her collaboration in editing the proceedings. Gianni Dal Maso Gian Fausto Dell'Antonio SIS SA, Trieste Universita "La Sapienza", Roma v Contents Preface ... v List of Speakers ... ix Contributors ... ... ... ... . xiii ... ... ...
Author : Emmanuel Frénod
Publisher : Springer
ISBN 13 : 3319646680
Total Pages : 129 pages
Book Rating : 4.3/5 (196 download)
Download or read book Two-Scale Approach to Oscillatory Singularly Perturbed Transport Equations written by Emmanuel Frénod and published by Springer. This book was released on 2017-10-05 with total page 129 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents the classical results of the two-scale convergence theory and explains – using several figures – why it works. It then shows how to use this theory to homogenize ordinary differential equations with oscillating coefficients as well as oscillatory singularly perturbed ordinary differential equations. In addition, it explores the homogenization of hyperbolic partial differential equations with oscillating coefficients and linear oscillatory singularly perturbed hyperbolic partial differential equations. Further, it introduces readers to the two-scale numerical methods that can be built from the previous approaches to solve oscillatory singularly perturbed transport equations (ODE and hyperbolic PDE) and demonstrates how they can be used efficiently. This book appeals to master’s and PhD students interested in homogenization and numerics, as well as to the Iter community.
Author : Viorel Barbu
Publisher : Springer Science & Business Media
ISBN 13 : 9401591172
Total Pages : 295 pages
Book Rating : 4.4/5 (15 download)
Download or read book Partial Differential Equations and Boundary Value Problems written by Viorel Barbu and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material of the present book has been used for graduate-level courses at the University of Ia~i during the past ten years. It is a revised version of a book which appeared in Romanian in 1993 with the Publishing House of the Romanian Academy. The book focuses on classical boundary value problems for the principal equations of mathematical physics: second order elliptic equations (the Poisson equations), heat equations and wave equations. The existence theory of second order elliptic boundary value problems was a great challenge for nineteenth century mathematics and its development was marked by two decisive steps. Undoubtedly, the first one was the Fredholm proof in 1900 of the existence of solutions to Dirichlet and Neumann problems, which represented a triumph of the classical theory of partial differential equations. The second step is due to S. 1. Sobolev (1937) who introduced the concept of weak solution in partial differential equations and inaugurated the modern theory of boundary value problems. The classical theory which is a product ofthe nineteenth century, is concerned with smooth (continuously differentiable) sollutions and its methods rely on classical analysis and in particular on potential theory. The modern theory concerns distributional (weak) solutions and relies on analysis of Sob ole v spaces and functional methods. The same distinction is valid for the boundary value problems associated with heat and wave equations. Both aspects of the theory are present in this book though it is not exhaustive in any sense.
Author : Peter Kuchment
Publisher : American Mathematical Soc.
ISBN 13 : 147043783X
Total Pages : 117 pages
Book Rating : 4.4/5 (74 download)
Download or read book Differential Equations, Mathematical Physics, and Applications: Selim Grigorievich Krein Centennial written by Peter Kuchment and published by American Mathematical Soc.. This book was released on 2019-07-22 with total page 117 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the second of two volumes dedicated to the centennial of the distinguished mathematician Selim Grigorievich Krein. The companion volume is Contemporary Mathematics, Volume 733. Krein was a major contributor to functional analysis, operator theory, partial differential equations, fluid dynamics, and other areas, and the author of several influential monographs in these areas. He was a prolific teacher, graduating 83 Ph.D. students. Krein also created and ran, for many years, the annual Voronezh Winter Mathematical Schools, which significantly influenced mathematical life in the former Soviet Union. The articles contained in this volume are written by prominent mathematicians, former students and colleagues of Selim Krein, as well as lecturers and participants of Voronezh Winter Schools. They are devoted to a variety of contemporary problems in ordinary and partial differential equations, fluid dynamics, and various applications.
Author : Gregori A. Chechkin
Publisher : American Mathematical Soc.
ISBN 13 : 9780821889701
Total Pages : 256 pages
Book Rating : 4.8/5 (897 download)
Download or read book Homogenization written by Gregori A. Chechkin and published by American Mathematical Soc.. This book was released on with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book focuses on both classical results of homogenization theory and modern techniques developed over the past decade. The powerful techniques in partial differential equations are illustrated with many exercises and examples to enhance understanding of the material. Several of the modern topics that are presented have not previously appeared in any monograph.
