Calculus Of Variations And Geometric Evolution Problems
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Calculus of Variations and Geometric Evolution Problems
Author | : F. Bethuel,G. Huisken,S. Mueller,K. Steffen |
Publsiher | : Springer |
Total Pages | : 299 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 9783540488132 |
Download Calculus of Variations and Geometric Evolution Problems Book in PDF, Epub and Kindle
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
Author | : Luigi Ambrosio,Norman Dancer |
Publsiher | : Springer Science & Business Media |
Total Pages | : 347 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9783642571862 |
Download Calculus of Variations and Partial Differential Equations Book in PDF, Epub and Kindle
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.
Calculus of Variations and Geometric Evolution Problems
Author | : F. Bethuel,G. Huisken,S. Mueller,K. Steffen |
Publsiher | : Springer |
Total Pages | : 298 |
Release | : 1999-10-19 |
Genre | : Mathematics |
ISBN | : 3540659773 |
Download Calculus of Variations and Geometric Evolution Problems Book in PDF, Epub and Kindle
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
Author | : Luigi Ambrosio,Norman Dancer |
Publsiher | : Springer Science & Business Media |
Total Pages | : 364 |
Release | : 2000-01-24 |
Genre | : Mathematics |
ISBN | : 3540648038 |
Download Calculus of Variations and Partial Differential Equations Book in PDF, Epub and Kindle
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.
The Inverse Problem of the Calculus of Variations
Author | : Dmitry V. Zenkov |
Publsiher | : Springer |
Total Pages | : 296 |
Release | : 2015-10-15 |
Genre | : Mathematics |
ISBN | : 9789462391093 |
Download The Inverse Problem of the Calculus of Variations Book in PDF, Epub and Kindle
The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.e. how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional (the Euler-Lagrange equations), using contemporary geometric methods. Selected applications in geometry, physics, optimal control, and general relativity are also considered. The book includes the following chapters: - Helmholtz conditions and the method of controlled Lagrangians (Bloch, Krupka, Zenkov) - The Sonin-Douglas's problem (Krupka) - Inverse variational problem and symmetry in action: The Ostrogradskyj relativistic third order dynamics (Matsyuk.) - Source forms and their variational completion (Voicu) - First-order variational sequences and the inverse problem of the calculus of variations (Urban, Volna) - The inverse problem of the calculus of variations on Grassmann fibrations (Urban).
Differential Geometry Calculus of Variations and Their Applications
Author | : George M. Rassias,Themistocles M. Rassias |
Publsiher | : CRC Press |
Total Pages | : 550 |
Release | : 2023-05-31 |
Genre | : Mathematics |
ISBN | : 9781000950724 |
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This book contains a series of papers on some of the longstanding research problems of geometry, calculus of variations, and their applications. It is suitable for advanced graduate students, teachers, research mathematicians, and other professionals in mathematics.
Calculus of Variations I
Author | : Mariano Giaquinta,Stefan Hildebrandt |
Publsiher | : Springer Science & Business Media |
Total Pages | : 512 |
Release | : 2004-06-23 |
Genre | : Mathematics |
ISBN | : 354050625X |
Download Calculus of Variations I Book in PDF, Epub and Kindle
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.
Variational Problems in Riemannian Geometry
Author | : Paul Baird,Ahmad El Soufi,Ali Fardoun,Rachid Regbaoui |
Publsiher | : Birkhäuser |
Total Pages | : 158 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9783034879682 |
Download Variational Problems in Riemannian Geometry Book in PDF, Epub and Kindle
This book collects invited contributions by specialists in the domain of elliptic partial differential equations and geometric flows. There are introductory survey articles as well as papers presenting the latest research results. Among the topics covered are blow-up theory for second order elliptic equations; bubbling phenomena in the harmonic map heat flow; applications of scans and fractional power integrands; heat flow for the p-energy functional; Ricci flow and evolution by curvature of networks of curves in the plane.