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Variational Problems With Concentration


Variational Problems With Concentration
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Variational Problems With Concentration


Variational Problems With Concentration
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Author : Martin F. Bach
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Variational Problems With Concentration written by Martin F. Bach and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


This self-contained research monograph focuses on semilinear Dirichlet problems and similar equations involving the p-Laplacian. The author explains new techniques in detail, and derives several numerical methods approximating the concentration point and the free boundary. The corresponding plots are highlights of this book.



Variational Problems With Concentration


Variational Problems With Concentration
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Author : Martin Flucher
language : en
Publisher:
Release Date : 1999-07-01

Variational Problems With Concentration written by Martin Flucher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1999-07-01 with categories.


This self-contained research monograph focuses on semilinear Dirichlet problems and similar equations involving the p-Laplacian. The author explains new techniques in detail, and derives several numerical methods approximating the concentration point and the free boundary. The corresponding plots are highlights of this book.



Topics On Concentration Phenomena And Problems With Multiple Scales


Topics On Concentration Phenomena And Problems With Multiple Scales
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Author : Andrea Braides
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-11-22

Topics On Concentration Phenomena And Problems With Multiple Scales written by Andrea Braides 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 2006-11-22 with Mathematics categories.


The study of variational problems showing multi-scale behaviour with oscillation or concentration phenomena is a challenging topic of very active research. This volume collects lecture notes on the asymptotic analysis of such problems when multi-scale behaviour derives from scale separation in the passage from atomistic systems to continuous functionals, from competition between bulk and surface energies, from various types of homogenization processes, and on concentration effects in Ginzburg-Landau energies and in subcritical growth problems.



Variational Problems In Transport Theory With Mass Concentration


Variational Problems In Transport Theory With Mass Concentration
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Author : Filippo Santambrogio
language : en
Publisher: Edizioni della Normale
Release Date : 2007-12-13

Variational Problems In Transport Theory With Mass Concentration written by Filippo Santambrogio and has been published by Edizioni della Normale this book supported file pdf, txt, epub, kindle and other format this book has been release on 2007-12-13 with Mathematics categories.


This book examines variational problems involving optimal transportation of probability measures, in competition with concentration effects. It presents some problems where measures have to be selected minimizing transport costs between them, but satisfying some concentration criteria, with possible applications to urban planning. The book also covers optimization problems where the concentration or diffusion phenomena occurs directly at the level of the transportation structure.



Topics On Concentration Phenomena And Problems With Multiple Scales


Topics On Concentration Phenomena And Problems With Multiple Scales
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Author : Andrea Braides
language : en
Publisher: Springer
Release Date : 2009-09-02

Topics On Concentration Phenomena And Problems With Multiple Scales written by Andrea Braides and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-02 with Mathematics categories.


The study of variational problems showing multi-scale behaviour with oscillation or concentration phenomena is a challenging topic of very active research. This volume collects lecture notes on the asymptotic analysis of such problems when multi-scale behaviour derives from scale separation in the passage from atomistic systems to continuous functionals, from competition between bulk and surface energies, from various types of homogenization processes, and on concentration effects in Ginzburg-Landau energies and in subcritical growth problems.



Variational Problems In Riemannian Geometry


Variational Problems In Riemannian Geometry
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Author : Paul Baird
language : en
Publisher: Birkhäuser
Release Date : 2012-12-06

Variational Problems In Riemannian Geometry written by Paul Baird and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Mathematics categories.


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.



Differential Equations Chaos And Variational Problems


Differential Equations Chaos And Variational Problems
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Author : Vasile Staicu
language : en
Publisher: Springer Science & Business Media
Release Date : 2008-03-12

Differential Equations Chaos And Variational Problems written by Vasile Staicu 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 2008-03-12 with Mathematics categories.


This collection of original articles and surveys written by leading experts in their fields is dedicated to Arrigo Cellina and James A. Yorke on the occasion of their 65th birthday. The volume brings the reader to the border of research in differential equations, a fast evolving branch of mathematics that, besides being a main subject for mathematicians, is one of the mathematical tools most used both by scientists and engineers.



One Dimensional Variational Problems


One Dimensional Variational Problems
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Author : Giuseppe Buttazzo
language : en
Publisher: Oxford University Press
Release Date : 1998

One Dimensional Variational Problems written by Giuseppe Buttazzo and has been published by Oxford University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Mathematics categories.


While easier to solve and accessible to a broader range of students, one-dimensional variational problems and their associated differential equations exhibit many of the same complex behavior of higher-dimensional problems. This book, the first moden introduction, emphasizes direct methods and provides an exceptionally clear view of the underlying theory.



Variational Problems In Materials Science


Variational Problems In Materials Science
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Author : Gianni Dal Maso
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-06-23

Variational Problems In Materials Science written by Gianni Dal Maso 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 2006-06-23 with Technology & Engineering categories.


This volume contains the proceedings of the international workshop Variational Problems in Materials Science. Coverage includes the study of BV vector fields, path functionals over Wasserstein spaces, variational approaches to quasi-static evolution, free-discontinuity problems with applications to fracture and plasticity, systems with hysteresis or with interfacial energies, evolution of interfaces, multi-scale analysis in ferromagnetism and ferroelectricity, and much more.



Convex Variational Problems


Convex Variational Problems
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Author : Michael Bildhauer
language : en
Publisher: Springer
Release Date : 2003-07-03

Convex Variational Problems written by Michael Bildhauer and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003-07-03 with Mathematics categories.


The author emphasizes a non-uniform ellipticity condition as the main approach to regularity theory for solutions of convex variational problems with different types of non-standard growth conditions. This volume first focuses on elliptic variational problems with linear growth conditions. Here the notion of a "solution" is not obvious and the point of view has to be changed several times in order to get some deeper insight. Then the smoothness properties of solutions to convex anisotropic variational problems with superlinear growth are studied. In spite of the fundamental differences, a non-uniform ellipticity condition serves as the main tool towards a unified view of the regularity theory for both kinds of problems.