Sets Of Finite Perimeter And Geometric Variational Problems
DOWNLOAD
Download Sets Of Finite Perimeter And Geometric Variational Problems PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Sets Of Finite Perimeter And Geometric Variational Problems book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Sets Of Finite Perimeter And Geometric Variational Problems
DOWNLOAD
Author : Francesco Maggi
language : en
Publisher:
Release Date : 2014-05-14
Sets Of Finite Perimeter And Geometric Variational Problems written by Francesco Maggi and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-05-14 with Geometric measure theory categories.
An engaging graduate-level introduction that bridges analysis and geometry. Suitable for self-study and a useful reference for researchers.
Sets Of Finite Perimeter And Geometric Variational Problems
DOWNLOAD
Author : Francesco Maggi
language : en
Publisher: Cambridge University Press
Release Date : 2012-08-09
Sets Of Finite Perimeter And Geometric Variational Problems written by Francesco Maggi and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-08-09 with Mathematics categories.
An engaging graduate-level introduction that bridges analysis and geometry. Suitable for self-study and a useful reference for researchers.
Geometric Flows On Planar Lattices
DOWNLOAD
Author : Andrea Braides
language : en
Publisher: Springer Nature
Release Date : 2021-03-23
Geometric Flows On Planar Lattices written by Andrea Braides and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-03-23 with Mathematics categories.
This book introduces the reader to important concepts in modern applied analysis, such as homogenization, gradient flows on metric spaces, geometric evolution, Gamma-convergence tools, applications of geometric measure theory, properties of interfacial energies, etc. This is done by tackling a prototypical problem of interfacial evolution in heterogeneous media, where these concepts are introduced and elaborated in a natural and constructive way. At the same time, the analysis introduces open issues of a general and fundamental nature, at the core of important applications. The focus on two-dimensional lattices as a prototype of heterogeneous media allows visual descriptions of concepts and methods through a large amount of illustrations.
Local Minimization Variational Evolution And Convergence
DOWNLOAD
Author : Andrea Braides
language : en
Publisher: Springer
Release Date : 2014-07-08
Local Minimization Variational Evolution And Convergence 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 2014-07-08 with Mathematics categories.
This book addresses new questions related to the asymptotic description of converging energies from the standpoint of local minimization and variational evolution. It explores the links between Gamma-limits, quasistatic evolution, gradient flows and stable points, raising new questions and proposing new techniques. These include the definition of effective energies that maintain the pattern of local minima, the introduction of notions of convergence of energies compatible with stable points, the computation of homogenized motions at critical time-scales through the definition of minimizing movement along a sequence of energies, the use of scaled energies to study long-term behavior or backward motion for variational evolutions. The notions explored in the book are linked to existing findings for gradient flows, energetic solutions and local minimizers, for which some generalizations are also proposed.
Anisotropic Isoperimetric Problems And Related Topics
DOWNLOAD
Author : Valentina Franceschi
language : en
Publisher: Springer Nature
Release Date : 2024-12-18
Anisotropic Isoperimetric Problems And Related Topics written by Valentina Franceschi and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-18 with Mathematics categories.
This book contains contributions from speakers at the "Anisotropic Isoperimetric Problems & Related Topics" conference in Rome, held from Sep 5 to 9, 2022. The classic isoperimetric problem has fascinated mathematicians of all eras, starting from the ancient Greeks, due to its simple statement: what are the sets of a given volume with minimal perimeter? The problem is mathematically well understood, and it plays a crucial role in explaining physical phenomena such as soap bubble shapes. Variations of the problem, including weighted counterparts with density dependencies, representing inhomogeneity and anisotropy of the medium, broaden its applicability, even in non-Euclidean environments, and they allow for descriptions, e.g., of crystal shapes. At large, the perimeter's physical interpretation is that of an attractive force; hence, it also appears in describing systems of particles where a balance between attractive and repulsive forces appears. A prominent example is that of Gamow's liquid drop model for atomic nuclei, where protons are subject to the strong nuclear attractive force (represented by the perimeter) and the electromagnetic repulsive force (represented by a nonlocal term). Such a model has been shown to be sound, as it explains the basic characteristics of the nuclei, and it successfully predicts nuclear fission for nuclei with a large atomic number. Similar energy functionals model various physical and biological systems, showcasing the competition between short-range interfacial and long-range nonlocal terms, leading to pattern formation. The authors mention, e.g., the Ohta–Kawasaki model for microphase separation of diblock copolymers and the Yukawa potential for colloidal systems. Despite diverse systems, the emergence of microphases follows similar patterns, although rigorously proving this phenomenon remains a challenge. The book collects several contributions within these topics, shedding light on the current state of the art.
Potentials And Partial Differential Equations
DOWNLOAD
Author : Suzanne Lenhart
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2023-05-22
Potentials And Partial Differential Equations written by Suzanne Lenhart and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-05-22 with Mathematics categories.
This volume is dedicated to the legacy of David R. Adams (1941-2021) and discusses calculus of variations, functional - harmonic - potential analysis, partial differential equations, and their applications in modeling, mathematical physics, and differential - integral geometry.
Scale Space And Variational Methods In Computer Vision
DOWNLOAD
Author : Abderrahim Elmoataz
language : en
Publisher: Springer Nature
Release Date : 2021-04-29
Scale Space And Variational Methods In Computer Vision written by Abderrahim Elmoataz and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-04-29 with Computers categories.
This book constitutes the proceedings of the 8th International Conference on Scale Space and Variational Methods in Computer Vision, SSVM 2021, which took place during May 16-20, 2021. The conference was planned to take place in Cabourg, France, but changed to an online format due to the COVID-19 pandemic. The 45 papers included in this volume were carefully reviewed and selected from a total of 64 submissions. They were organized in topical sections named as follows: scale space and partial differential equations methods; flow, motion and registration; optimization theory and methods in imaging; machine learning in imaging; segmentation and labelling; restoration, reconstruction and interpolation; and inverse problems in imaging.
Geometric Partial Differential Equations
DOWNLOAD
Author : Antonin Chambolle
language : en
Publisher: Springer Science & Business Media
Release Date : 2014-01-17
Geometric Partial Differential Equations written by Antonin Chambolle 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 2014-01-17 with Mathematics categories.
This book is the outcome of a conference held at the Centro De Giorgi of the Scuola Normale of Pisa in September 2012. The aim of the conference was to discuss recent results on nonlinear partial differential equations, and more specifically geometric evolutions and reaction-diffusion equations. Particular attention was paid to self-similar solutions, such as solitons and travelling waves, asymptotic behaviour, formation of singularities and qualitative properties of solutions. These problems arise in many models from Physics, Biology, Image Processing and Applied Mathematics in general, and have attracted a lot of attention in recent years.
Optimal Control And Geometry Integrable Systems
DOWNLOAD
Author : Velimir Jurdjevic
language : en
Publisher: Cambridge University Press
Release Date : 2016-07-04
Optimal Control And Geometry Integrable Systems written by Velimir Jurdjevic and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-04 with Mathematics categories.
Blending control theory, mechanics, geometry and the calculus of variations, this book is a vital resource for graduates and researchers in engineering, mathematics and physics.
Geometric Harmonic Analysis I
DOWNLOAD
Author : Dorina Mitrea
language : en
Publisher: Springer Nature
Release Date : 2022-11-04
Geometric Harmonic Analysis I written by Dorina Mitrea and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-11-04 with Mathematics categories.
This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for researchers, graduate students, and industry professionals interested in applications of harmonic analysis and geometric measure theory to complex analysis, scattering, and partial differential equations. Volume I establishes a sharp version of the Divergence Theorem (aka Fundamental Theorem of Calculus) which allows for an inclusive class of vector fields whose boundary trace is only assumed to exist in a nontangential pointwise sense.