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Calculus of Variations and Geometric Evolution Problems

2006-11-14 Mathematics
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Release : 2006-11-14
Genre : Mathematics
Kind : eBook
Book Rating : 138/5 ( reviews)

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Book Synopsis Calculus of Variations and Geometric Evolution Problems by : F. Bethuel

Download or read book Calculus of Variations and Geometric Evolution Problems written by F. Bethuel. This book was released on 2006-11-14. Available in PDF, EPUB and Kindle. Book excerpt: The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996. The contributions to this volume reflect quite closely the lectures given at Cetraro which have provided an image of a fairly broad field in analysis where in recent years we have seen many important contributions. Among the topics treated in the courses were variational methods for Ginzburg-Landau equations, variational models for microstructure and phase transitions, a variational treatment of the Plateau problem for surfaces of prescribed mean curvature in Riemannian manifolds - both from the classical point of view and in the setting of geometric measure theory.

Calculus of Variations and Geometric Evolution Problems

1999-10-19 Mathematics
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Release : 1999-10-19
Genre : Mathematics
Kind : eBook
Book Rating : 778/5 ( reviews)

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Book Synopsis Calculus of Variations and Geometric Evolution Problems by : F. Bethuel

Download or read book Calculus of Variations and Geometric Evolution Problems written by F. Bethuel. This book was released on 1999-10-19. Available in PDF, EPUB and Kindle. Book excerpt: The international summer school on Calculus of Variations and Geometric Evolution Problems was held at Cetraro, Italy, 1996. The contributions to this volume reflect quite closely the lectures given at Cetraro which have provided an image of a fairly broad field in analysis where in recent years we have seen many important contributions. Among the topics treated in the courses were variational methods for Ginzburg-Landau equations, variational models for microstructure and phase transitions, a variational treatment of the Plateau problem for surfaces of prescribed mean curvature in Riemannian manifolds - both from the classical point of view and in the setting of geometric measure theory.

Calculus of Variations and Partial Differential Equations

2012-12-06 Mathematics
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Release : 2012-12-06
Genre : Mathematics
Kind : eBook
Book Rating : 867/5 ( reviews)

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Book Synopsis Calculus of Variations and Partial Differential Equations by : Luigi Ambrosio

Download or read book Calculus of Variations and Partial Differential Equations written by Luigi Ambrosio. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: At the summer school in Pisa in September 1996, Luigi Ambrosio and Norman Dancer each gave a course on the geometric problem of evolution of a surface by mean curvature, and degree theory with applications to PDEs respectively. This self-contained presentation accessible to PhD students bridged the gap between standard courses and advanced research on these topics. The resulting book is divided accordingly into 2 parts, and neatly illustrates the 2-way interaction of problems and methods. Each of the courses is augmented and complemented by additional short chapters by other authors describing current research problems and results.

Topics in the Calculus of Variations

2012-12-06 Technology & Engineering
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Release : 2012-12-06
Genre : Technology & Engineering
Kind : eBook
Book Rating : 282/5 ( reviews)

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Book Synopsis Topics in the Calculus of Variations by : Martin Fuchs

Download or read book Topics in the Calculus of Variations written by Martin Fuchs. This book was released on 2012-12-06. Available in PDF, EPUB and Kindle. Book excerpt: This book illustrates two basic principles in the calculus of variations which are the question of existence of solutions and closely related the problem of regularity of minimizers. Chapter one studies variational problems for nonquadratic energy functionals defined on suitable classes of vectorvalued functions where also nonlinear constraints are incorporated. Problems of this type arise for mappings between Riemannian manifolds or in nonlinear elasticity. Using direct methods the existence of generalized minimizers is rather easy to establish and it is then shown that regularity holds up to a set of small measure. Chapter two contains a short introduction into Geometric Measure Theory which serves as a basis for developing an existence theory for (generalized) manifolds with prescribed mean curvature form and boundary in arbitrary dimensions and codimensions. One major aspect of the book is to concentrate on techniques and to present methods which turn out to be useful for applications in regularity theorems as well as for existence problems.

Calculus of Variations I

2013-03-09 Mathematics
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Release : 2013-03-09
Genre : Mathematics
Kind : eBook
Book Rating : 783/5 ( reviews)

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Book Synopsis Calculus of Variations I by : Mariano Giaquinta

Download or read book Calculus of Variations I written by Mariano Giaquinta. This book was released on 2013-03-09. Available in PDF, EPUB and Kindle. Book excerpt: This two-volume treatise is a standard reference in the field. It pays special attention to the historical aspects and the origins partly in applied problems—such as those of geometric optics—of parts of the theory. It contains an introduction to each chapter, section, and subsection and an overview of the relevant literature in the footnotes and bibliography. It also includes an index of the examples used throughout the book.

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