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Author: Gilles Aubert
Publisher:
ISBN:
Category :
Languages : fr
Pages :
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Book Description
THEOREMES D'EXISTENCE POUR UN TYPE DE PROBLEMES DU CALCUL DES VARIATIONS, ET EN OPTIMISATION NON CONVEXE. MINIMISATION D'UNE FONCTIONNELLE NON CONVEXE, NON DIFFERENTIABLE EN DIMENSION 1. REMARQUES SUR UN PROBLEME D'ELASTICITE NON LINEAIRE. FAIBLE FERMETURE DE CERTAINS ENSEMBLES DE CONTRAINTES EN ELASTICITE NON LINEAIRE PLANE. CONDITIONS NECESSAIRES DE FAIBLE FERMETURE ET DE 1-RANG CONVEXITE EN DIMENSION 3. THEOREMES DE CARACTERISATION DE LA POLYCONVEXITE ET DE LA 1-RANG CONVEXITE EN DIMENSIONS 2 ET 3
Author: Gilles Aubert
Publisher:
ISBN:
Category :
Languages : fr
Pages :
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Book Description
THEOREMES D'EXISTENCE POUR UN TYPE DE PROBLEMES DU CALCUL DES VARIATIONS, ET EN OPTIMISATION NON CONVEXE. MINIMISATION D'UNE FONCTIONNELLE NON CONVEXE, NON DIFFERENTIABLE EN DIMENSION 1. REMARQUES SUR UN PROBLEME D'ELASTICITE NON LINEAIRE. FAIBLE FERMETURE DE CERTAINS ENSEMBLES DE CONTRAINTES EN ELASTICITE NON LINEAIRE PLANE. CONDITIONS NECESSAIRES DE FAIBLE FERMETURE ET DE 1-RANG CONVEXITE EN DIMENSION 3. THEOREMES DE CARACTERISATION DE LA POLYCONVEXITE ET DE LA 1-RANG CONVEXITE EN DIMENSIONS 2 ET 3
Author: Bernard Dacorogna
Publisher: Springer Science & Business Media
ISBN: 3642514405
Category : Mathematics
Languages : en
Pages : 312
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Book Description
In recent years there has been a considerable renewal of interest in the clas sical problems of the calculus of variations, both from the point of view of mathematics and of applications. Some of the most powerful tools for proving existence of minima for such problems are known as direct methods. They are often the only available ones, particularly for vectorial problems. It is the aim of this book to present them. These methods were introduced by Tonelli, following earlier work of Hilbert and Lebesgue. Although there are excellent books on calculus of variations and on direct methods, there are recent important developments which cannot be found in these books; in particular, those dealing with vector valued functions and relaxation of non convex problems. These two last ones are important in appli cations to nonlinear elasticity, optimal design . . . . In these fields the variational methods are particularly effective. Part of the mathematical developments and of the renewal of interest in these methods finds its motivations in nonlinear elasticity. Moreover, one of the recent important contributions to nonlinear analysis has been the study of the behaviour of nonlinear functionals un der various types of convergence, particularly the weak convergence. Two well studied theories have now been developed, namely f-convergence and compen sated compactness. They both include as a particular case the direct methods of the calculus of variations, but they are also, both, inspired and have as main examples these direct methods.
Author:
Publisher:
ISBN:
Category : Mathematical models
Languages : en
Pages : 982
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Author: Daniel Coutand
Publisher:
ISBN:
Category :
Languages : fr
Pages : 0
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Author: John MacLeod Ball
Publisher: Oxford University Press, USA
ISBN:
Category : History
Languages : en
Pages : 568
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Book Description
The proceedings of a Symposium Year on Material instabilities in continuum mechanics organized by the Department of Mathematics, Heriot-Watt University, Edinburgh, 1985-1986.
Author: Bernard Dacorogna
Publisher: Springer Science & Business Media
ISBN: 9780817641214
Category : Mathematics
Languages : en
Pages : 292
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Book Description
Nonlinear partial differential equations has become one of the main tools of mod ern mathematical analysis; in spite of seemingly contradictory terminology, the subject of nonlinear differential equations finds its origins in the theory of linear differential equations, and a large part of functional analysis derived its inspiration from the study of linear pdes. In recent years, several mathematicians have investigated nonlinear equations, particularly those of the second order, both linear and nonlinear and either in divergence or nondivergence form. Quasilinear and fully nonlinear differential equations are relevant classes of such equations and have been widely examined in the mathematical literature. In this work we present a new family of differential equations called "implicit partial differential equations", described in detail in the introduction (c.f. Chapter 1). It is a class of nonlinear equations that does not include the family of fully nonlinear elliptic pdes. We present a new functional analytic method based on the Baire category theorem for handling the existence of almost everywhere solutions of these implicit equations. The results have been obtained for the most part in recent years and have important applications to the calculus of variations, nonlin ear elasticity, problems of phase transitions and optimal design; some results have not been published elsewhere.
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Publisher: Lulu.com
ISBN: 1430318678
Category : Reference
Languages : en
Pages : 385
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Book Description
This volume presents a catalogue of over 2000 doctoral theses by Africans in all fields of mathematics, including applied mathematics, mathematics education and history of mathematics. The introduction contains information about distribution by country, institutions, period, and by gender, about mathematical density, and mobility of mathematicians. Several appendices are included (female doctorate holders, doctorates in mathematics education, doctorates awarded by African universities to non-Africans, doctoral theses by non-Africans about mathematics in Africa, activities of African mathematicians at the service of their communities). Paulus Gerdes compiled the information in his capacity of Chairman of the African Mathematical Union Commission for the History of Mathematics in Africa (AMUCHMA). The book contains a preface by Mohamed Hassan, President of the African Academy of Sciences (AAS) and Executive Director of the Academy of Sciences for the Developing World (TWAS). (383 pp.)
Author:
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 544
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Author: Philippe G. Ciarlet
Publisher: Gulf Professional Publishing
ISBN: 9780444512475
Category : Mathematics
Languages : en
Pages : 502
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Book Description
Author: Luc Abbadie
Publisher: Springer Science & Business Media
ISBN: 0387338578
Category : Science
Languages : en
Pages : 422
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Book Description
Synthesizing 40 years of ongoing ecological research, this book examines the structure, function, and dynamics of the Lamto humid savanna. From the history of the Lamto ecology station, to an overview of enivronmental conditions of the site, and examining the integrative view of energy and nutrient fluxes relative to the dynamics of the region's vegetation, this exacting work is as unique and treasured as Lamto itself.
