Cartesian Currents In The Calculus Of Variations Ii
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Cartesian Currents In The Calculus Of Variations Ii
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Author : Mariano Giaquinta
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-08-19
Cartesian Currents In The Calculus Of Variations Ii written by Mariano Giaquinta 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 1998-08-19 with Mathematics categories.
This monograph (in two volumes) deals with non scalar variational problems arising in geometry, as harmonic mappings between Riemannian manifolds and minimal graphs, and in physics, as stable equilibrium configuations in nonlinear elasticity or for liquid crystals. The presentation is selfcontained and accessible to non specialists. Topics are treated as far as possible in an elementary way, illustrating results with simple examples; in principle, chapters and even sections are readable independently of the general context, so that parts can be easily used for graduate courses. Open questions are often mentioned and the final section of each chapter discusses references to the literature and sometimes supplementary results. Finally, a detailed Table of Contents and an extensive Index are of help to consult this monograph
Cartesian Currents In The Calculus Of Variations Ii
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Author : Mariano Giaquinta
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-14
Cartesian Currents In The Calculus Of Variations Ii written by Mariano Giaquinta 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 2013-03-14 with Mathematics categories.
Non-scalar variational problems appear in different fields. In geometry, for in stance, we encounter the basic problems of harmonic maps between Riemannian manifolds and of minimal immersions; related questions appear in physics, for example in the classical theory of a-models. Non linear elasticity is another example in continuum mechanics, while Oseen-Frank theory of liquid crystals and Ginzburg-Landau theory of superconductivity require to treat variational problems in order to model quite complicated phenomena. Typically one is interested in finding energy minimizing representatives in homology or homotopy classes of maps, minimizers with prescribed topological singularities, topological charges, stable deformations i. e. minimizers in classes of diffeomorphisms or extremal fields. In the last two or three decades there has been growing interest, knowledge, and understanding of the general theory for this kind of problems, often referred to as geometric variational problems. Due to the lack of a regularity theory in the non scalar case, in contrast to the scalar one - or in other words to the occurrence of singularities in vector valued minimizers, often related with concentration phenomena for the energy density - and because of the particular relevance of those singularities for the problem being considered the question of singling out a weak formulation, or completely understanding the significance of various weak formulations becames non trivial.
Cartesian Currents In The Calculus Of Variations I
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Author : Mariano Giaquinta
language : en
Publisher: Springer Science & Business Media
Release Date : 1998-08-19
Cartesian Currents In The Calculus Of Variations I written by Mariano Giaquinta 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 1998-08-19 with Mathematics categories.
This monograph (in two volumes) deals with non scalar variational problems arising in geometry, as harmonic mappings between Riemannian manifolds and minimal graphs, and in physics, as stable equilibrium configuations in nonlinear elasticity or for liquid crystals. The presentation is selfcontained and accessible to non specialists. Topics are treated as far as possible in an elementary way, illustrating results with simple examples; in principle, chapters and even sections are readable independently of the general context, so that parts can be easily used for graduate courses. Open questions are often mentioned and the final section of each chapter discusses references to the literature and sometimes supplementary results. Finally, a detailed Table of Contents and an extensive Index are of help to consult this monograph
Cartesian Currents In The Calculus Of Variations Ii
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Author : Mariano Giaquinta
language : en
Publisher:
Release Date : 1998
Cartesian Currents In The Calculus Of Variations Ii written by Mariano Giaquinta 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.
Cartesian Currents In The Calculus Of Variations Ii
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Author : Mariano Giaquinta
language : en
Publisher:
Release Date : 2014-01-15
Cartesian Currents In The Calculus Of Variations Ii written by Mariano Giaquinta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Cartesian Currents In The Calculus Of Variations
DOWNLOAD
Author : Mariano Giaquinta
language : en
Publisher:
Release Date :
Cartesian Currents In The Calculus Of Variations written by Mariano Giaquinta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Calculus of variations categories.
Cartesian Currents In The Calculus Of Variations V Ii
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Author : Mariano Giaquinta
language : en
Publisher:
Release Date : 1998
Cartesian Currents In The Calculus Of Variations V Ii written by Mariano Giaquinta 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.
Cartesian Currents In The Calculus Of Variations I
DOWNLOAD
Author : Mariano Giaquinta
language : en
Publisher: Springer
Release Date : 1998-08-19
Cartesian Currents In The Calculus Of Variations I written by Mariano Giaquinta and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-08-19 with Mathematics categories.
This monograph (in two volumes) deals with non scalar variational problems arising in geometry, as harmonic mappings between Riemannian manifolds and minimal graphs, and in physics, as stable equilibrium configuations in nonlinear elasticity or for liquid crystals. The presentation is selfcontained and accessible to non specialists. Topics are treated as far as possible in an elementary way, illustrating results with simple examples; in principle, chapters and even sections are readable independently of the general context, so that parts can be easily used for graduate courses. Open questions are often mentioned and the final section of each chapter discusses references to the literature and sometimes supplementary results. Finally, a detailed Table of Contents and an extensive Index are of help to consult this monograph
Cartesian Currents In The Calculus Of Variations Cartesian Currents
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Author : Mariano Giaquinta
language : en
Publisher:
Release Date : 1998
Cartesian Currents In The Calculus Of Variations Cartesian Currents written by Mariano Giaquinta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Calculus of variations categories.
Cartesian Currents In The Calculus Of Variations
DOWNLOAD
Author : Mariano Giaquinta
language : en
Publisher:
Release Date : 1998
Cartesian Currents In The Calculus Of Variations written by Mariano Giaquinta and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Calculus of variations categories.