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Cartesian Currents in the Calculus of Variations II - Giaquinta, Mariano Modica, Giuseppe Soucek, Jiri
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Giaquinta, Mariano Modica, Giuseppe Soucek, Jiri:
Cartesian Currents in the Calculus of Variations II - Taschenbuch

2010, ISBN: 9783642083754

[ED: Softcover], [PU: Springer, Berlin], 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. 2010. xxiv, 700 S. 2 SW-Abb.,. 235 mm Versandfertig in 3-5 Tagen, [SC: 0.00], Neuware, gewerbliches Angebot

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Cartesian Currents in the Calculus of Variations II: Variational Integrals - Mariano Giaquinta, Guiseppe Modica, Jiri Soucek
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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 Mariano Giaquinta, Guiseppe Modica, Jiri Soucek, Books, Science and Nature, Cartesian Currents in the Calculus of Variations II: Variational Integrals Books>Science and Nature, Springer Berlin Heidelberg

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Cartesian Currents in the Calculus of Variations II:Variational Integrals. Softcover reprint of hardcover 1st ed. 1998. Mariano Giaquinta, Guiseppe Modica, Jiri Soucek Cartesian Currents in the Calculus of Variations II:Variational Integrals. Softcover reprint of hardcover 1st ed. 1998. Mariano Giaquinta, Guiseppe Modica, Jiri Soucek Bücher > Wissenschaft > Mathematik, Springer

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Cartesian Currents in the Calculus of Variations II - Mariano Giaquinta; Guiseppe Modica; Jiri Soucek
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Mariano Giaquinta; Guiseppe Modica; Jiri Soucek:
Cartesian Currents in the Calculus of Variations II - Taschenbuch

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Mathematics; Calculus of Variations and Optimal Control; Optimization; Analysis; Theoretical, Mathematical and Computational Physics; Geometry Area, Calculus of Variations, Volume, geometric measure theory, harmonic mappings, minimal surfaces, nonlinear elasticity, weakly differentiable maps Books Book (Paperback Initiative), Springer Science+Business Media

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Cartesian Currents in the Calculus of Variations II - Mariano Giaquinta; Guiseppe Modica; Jiri Soucek
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Mariano Giaquinta; Guiseppe Modica; Jiri Soucek:
Cartesian Currents in the Calculus of Variations II - Taschenbuch

2010, ISBN: 9783642083754

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Variational Integrals, Softcover reprint of hardcover 1st ed. 1998, Softcover, Buch, [PU: Springer Berlin]

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Details zum Buch
Cartesian Currents in the Calculus of Variations II: Variational Integrals (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge   A Series of Modern Surveys in Mathematics)
Autor:

Mariano Giaquinta, Guiseppe Modica, Jiri Soucek

Titel:

Cartesian Currents in the Calculus of Variations II: Variational Integrals (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics)

ISBN-Nummer:

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

Detailangaben zum Buch - Cartesian Currents in the Calculus of Variations II: Variational Integrals (Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge A Series of Modern Surveys in Mathematics)


EAN (ISBN-13): 9783642083754
ISBN (ISBN-10): 3642083757
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2010
Herausgeber: Springer, Berlin

Buch in der Datenbank seit 29.08.2011 16:32:56
Buch zuletzt gefunden am 23.03.2017 23:25:50
ISBN/EAN: 9783642083754

ISBN - alternative Schreibweisen:
3-642-08375-7, 978-3-642-08375-4


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