عنوان

Cartesian Currents in the Calculus of Variations II

شابک

9783642083754

شابک

9783662062180

شماره

b407061

عنوان اصلي

Cartesian Currents in the Calculus of Variations II

نام عام مواد

[Book]

ساير اطلاعات عنواني

Variational Integrals /

نام نخستين پديدآور

by Mariano Giaquinta, Giuseppe Modica, Jiří Souček.

محل نشرو پخش و غیره

Berlin, Heidelberg :

نام ناشر، پخش کننده و غيره

Imprint: Springer,

تاریخ نشرو بخش و غیره

1998.

عنوان فروست

Ergebnisse der Mathematik und ihrer Grenzgebiete / 3. Folge. A Series of Modern Surveys in Mathematics,

مشخصه جلد

38

شاپا ي ISSN فروست

0071-1136 ;

متن يادداشت

1. Regular Variational Integrals -- 2. Finite Elasticity and Weak Diffeomorphisms -- 3. The Dirichlet Integral in Sobolev Spaces -- 4. The Dirichlet Energy for Maps into S2 -- 5. Some Regular and Non Regular Variational Problems -- 6. The Non Parametric Area Functional -- Symbols.

بدون عنوان

0

متن يادداشت

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.

شماره استاندارد بين المللي کتاب و موسيقي

9783642083754

عنوان

Springer eBooks

موضوع مستند نشده

Geometry.

موضوع مستند نشده

Global analysis (Mathematics).

موضوع مستند نشده

Mathematics.

مستند نام اشخاص تاييد نشده

Giaquinta, Mariano.

مستند نام اشخاص تاييد نشده

Modica, Giuseppe.

مستند نام اشخاص تاييد نشده

Souček, Jiří.

مستند نام تنالگان تاييد نشده

SpringerLink (Online service)

تاريخ عمليات

20190301075300.0

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y