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Surface Evolution Equations
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Book Synopsis Surface Evolution Equations by : Yoshikazu Giga
Download or read book Surface Evolution Equations written by Yoshikazu Giga and published by Springer Science & Business Media. This book was released on 2006-03-30 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a self-contained introduction to the analytic foundation of a level set approach for various surface evolution equations including curvature flow equations. These equations are important in many applications, such as material sciences, image processing and differential geometry. The goal is to introduce a generalized notion of solutions allowing singularities, and to solve the initial-value problem globally-in-time in a generalized sense. Various equivalent definitions of solutions are studied. Several new results on equivalence are also presented. Moreover, structures of level set equations are studied in detail. Further, a rather complete introduction to the theory of viscosity solutions is contained, which is a key tool for the level set approach. Although most of the results in this book are more or less known, they are scattered in several references, sometimes without proofs. This book presents these results in a synthetic way with full proofs. The intended audience are graduate students and researchers in various disciplines who would like to know the applicability and detail of the theory as well as its flavour. No familiarity with differential geometry or the theory of viscosity solutions is required. Only prerequisites are calculus, linear algebra and some basic knowledge about semicontinuous functions.
Book Synopsis Surface Evolution Equations by : Yoshikazu Giga
Download or read book Surface Evolution Equations written by Yoshikazu Giga and published by . This book was released on 2006 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Surface Evolution Equations by : Yoshikazu Giga
Download or read book Surface Evolution Equations written by Yoshikazu Giga and published by . This book was released on 2002 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Geometric Evolution Equations by : Shu-Cheng Chang
Download or read book Geometric Evolution Equations written by Shu-Cheng Chang and published by American Mathematical Soc.. This book was released on 2005 with total page 250 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Workshop on Geometric Evolution Equations was a gathering of experts that produced this comprehensive collection of articles. Many of the papers relate to the Ricci flow and Hamilton's program for understanding the geometry and topology of 3-manifolds. The use of evolution equations in geometry can lead to remarkable results. Of particular interest is the potential solution of Thurston's Geometrization Conjecture and the Poincare Conjecture. Yet applying the method poses serious technical problems. Contributors to this volume explain some of these issues and demonstrate a noteworthy deftness in the handling of technical areas. Various topics in geometric evolution equations and related fields are presented. Among other topics covered are minimal surface equations, mean curvature flow, harmonic map flow, Calabi flow, Ricci flow (including a numerical study), Kahler-Ricci flow, function theory on Kahler manifolds, flows of plane curves, convexity estimates, and the Christoffel-Minkowski problem. The material is suitable for graduate students and researchers interested in geometric analysis and connections to topology. Related titles of interest include The Ricci Flow: An Introduction.
Book Synopsis Evolution Equations by : Kaïs Ammari
Download or read book Evolution Equations written by Kaïs Ammari and published by Cambridge University Press. This book was released on 2018 with total page 205 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of a summer school held in 2015 whose theme was long time behavior and control of evolution equations.
Book Synopsis Geological Surface Evolution Modeling by : Amy Meredith Searcy
Download or read book Geological Surface Evolution Modeling written by Amy Meredith Searcy and published by . This book was released on 1998 with total page 114 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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 and published by Springer. This book was released on 2006-11-14 with total page 299 pages. 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.
Book Synopsis Nonlinear Evolution Equations And Dynamical Systems - Proceedings Of The Workshop (Needs '91) by : M Boiti
Download or read book Nonlinear Evolution Equations And Dynamical Systems - Proceedings Of The Workshop (Needs '91) written by M Boiti and published by World Scientific. This book was released on 1992-08-26 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Workshop NEEDS '91 brought together, from all over the world, scientists engaged in research on nonlinear systems, either their underlying mathematical properties or their physical applications. Accordingly, many talks were devoted to present methods of solution (like spectral transform) and to the investigation of structural (geometrical and/or algebraic) properties of (continuous and discrete) nonlinear evolution equations. Peculiar nonlinear systems, such as cellular automata, were also discussed. Applications to various fields of physics, namely, quantum field theory, fluid dynamics, general relativity and plasma physics were considered.
Author :Yuri Boykov Publisher :London : Department of Computer Science, University of Western Ontario ISBN 13 :9780771425707 Total Pages :15 pages Book Rating :4.4/5 (257 download)
Book Synopsis An Integral Solution to Surface Evolution PDEs Via Geo-Cuts by : Yuri Boykov
Download or read book An Integral Solution to Surface Evolution PDEs Via Geo-Cuts written by Yuri Boykov and published by London : Department of Computer Science, University of Western Ontario. This book was released on 2006 with total page 15 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Integrable Nonlinear Evolution Equations Applied to Solidification and Surface Redistribution by : Peter Tritscher
Download or read book Integrable Nonlinear Evolution Equations Applied to Solidification and Surface Redistribution written by Peter Tritscher and published by . This book was released on 1996 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Mathematical Research in Materials Science by : National Research Council
Download or read book Mathematical Research in Materials Science written by National Research Council and published by National Academies Press. This book was released on 1993-02-01 with total page 142 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book describes fruitful past collaborations between the mathematical and materials sciences and indicates future challenges. It seeks both to encourage mathematical sciences research that will complement vital research in materials science and to raise awareness of the value of quantitative methods. The volume encourages both communities to increase cross-disciplinary collaborations, emphasizing that each has much to gain from such an increase, and it presents recommendations for facilitating such work. This book is written for both mathematical and materials science researchers interested in advancing research at this interface; for federal and state agency representatives interested in encouraging such collaborations; and for anyone wanting information on how such cross-disciplinary, collaborative efforts can be accomplished successfully.
Book Synopsis Surface and Interface Science, Volumes 9 and 10 by : Klaus Wandelt
Download or read book Surface and Interface Science, Volumes 9 and 10 written by Klaus Wandelt and published by John Wiley & Sons. This book was released on 2020-03-30 with total page 990 pages. Available in PDF, EPUB and Kindle. Book excerpt: In ten volumes, this unique handbook covers all fundamental aspects of surface and interface science and offers a comprehensive overview of this research area for scientists working in the field, as well as an introduction for newcomers. Volume 1: Concepts and Methods Volume 2: Properties of Elemental Surfaces Volume 3: Properties of Composite Surfaces: Alloys, Compounds, Semiconductors Volume 4: Solid-Solid Interfaces and Thin Films Volume 5: Solid-Gas Interfaces I Volume 6: Solid-Gas Interfaces II Volume 7: Liquid and Biological Interfaces Volume 8: Interfacial Electrochemistry Volume 9: Applications of Surface Science I Volume 10: Applications of Surface Science II Content of Volumes 8 & 9: * Surface Analytics with X-Ray Photoelectron and Auger Electron Spectroscopy on Coated Steel Sheets * Applications of Graphene * Industrial Heterogeneous Catalysis * Automotive Catalysis * High-Throughput Heterogeneous Catalyst Research, Development, Scale-Up, and Production Support * Industrial Separation of Insulating Particles: Triboelectric Charging * Friction: Friend and Foe * Surface Science and Flotation * Application of Surface Science to Corrosion * Electrons, Electrodes, and the Transformation of Organic Molecules * Self-Cleaning Surfaces: From Fundamental Aspect to Real Technical Applications * Thin Films: Sputtering, PVD Methods and Applications * Wafer Bonding * Superconformal Deposition * Spintronics: Surface and Interface Aspects * Device Efficiency of Organic Light-Emitting Diodes * Dye-Sensitized Solar Cells * Electronic Nose: Current Status and Future Trends * Surface Science in Batteries * Surface and Interface Science in Fuel Cells Research
Book Synopsis Asymptotic Analysis and the Numerical Solution of Partial Differential Equations by : Hans G. Kaper
Download or read book Asymptotic Analysis and the Numerical Solution of Partial Differential Equations written by Hans G. Kaper and published by CRC Press. This book was released on 1991-02-25 with total page 283 pages. Available in PDF, EPUB and Kindle. Book excerpt: Integrates two fields generally held to be incompatible, if not downright antithetical, in 16 lectures from a February 1990 workshop at the Argonne National Laboratory, Illinois. The topics, of interest to industrial and applied mathematicians, analysts, and computer scientists, include singular per
Book Synopsis Dynamical Issues in Combustion Theory by : Paul C. Fife
Download or read book Dynamical Issues in Combustion Theory written by Paul C. Fife and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications DYNAMICAL ISSUES IN COMBUSTION THEORY is based on the proceedings of a workshop which was an integral part of the 1989-90 IMA program on "Dynamical Systems and their Applications." The aim of this workshop was to cross-fertilize research groups working in topics of current interest in combustion dynamics and mathematical methods applicable thereto. We thank Shui-Nee Chow, Martin Golubitsky, Richard McGehee, George R. Sell, Paul Fife, Amable Liiian and Foreman Williams for organizing the meeting. We especially thank Paul Fife, Amable Liiilin and Foreman Williams for editing the proceedings. We also take this opportunity to thank those agencies whose financial support made the workshop possible: the Army Research Office, the National Science Foundation and the Office of Naval Research. Avner Friedman Willard Miller, Jr. ix PREFACE The world ofcombustion phenomena is rich in problems intriguing to the math ematical scientist. They offer challenges on several fronts: (1) modeling, which involves the elucidation of the essential features of a given phenomenon through physical insight and knowledge of experimental results, (2) devising appropriate asymptotic and computational methods, and (3) developing sound mathematical theories. Papers in the present volume, which are based on talks given at the Workshop on Dynamical Issues in Combustion Theory in November, 1989, describe how all of these challenges have been met for particular examples within a number of common combustion scenarios: reactiveshocks, low Mach number premixed reactive flow, nonpremixed phenomena, and solid propellants.
Book Synopsis 3-D Surface Geometry and Reconstruction: Developing Concepts and Applications by : Chandra Pati, Umesh
Download or read book 3-D Surface Geometry and Reconstruction: Developing Concepts and Applications written by Chandra Pati, Umesh and published by IGI Global. This book was released on 2012-02-29 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: "This book provides developers and scholars with an extensive collection of research articles in the expanding field of 3D reconstruction, investigating the concepts, methodologies, applications and recent developments in the field of 3D reconstruction"--
Book Synopsis Mathematics for Nonlinear Phenomena — Analysis and Computation by : Yasunori Maekawa
Download or read book Mathematics for Nonlinear Phenomena — Analysis and Computation written by Yasunori Maekawa and published by Springer. This book was released on 2017-11-01 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume covers some of the most seminal research in the areas of mathematical analysis and numerical computation for nonlinear phenomena. Collected from the international conference held in honor of Professor Yoshikazu Giga’s 60th birthday, the featured research papers and survey articles discuss partial differential equations related to fluid mechanics, electromagnetism, surface diffusion, and evolving interfaces. Specific focus is placed on topics such as the solvability of the Navier-Stokes equations and the regularity, stability, and symmetry of their solutions, analysis of a living fluid, stochastic effects and numerics for Maxwell’s equations, nonlinear heat equations in critical spaces, viscosity solutions describing various kinds of interfaces, numerics for evolving interfaces, and a hyperbolic obstacle problem. Also included in this volume are an introduction of Yoshikazu Giga’s extensive academic career and a long list of his published work. Students and researchers in mathematical analysis and computation will find interest in this volume on theoretical study for nonlinear phenomena.
Book Synopsis Derivations and Solution Methods of Evolution Equations for Surface Atomic Clustering by : Martin Vicanek
Download or read book Derivations and Solution Methods of Evolution Equations for Surface Atomic Clustering written by Martin Vicanek and published by . This book was released on 1990 with total page 44 pages. Available in PDF, EPUB and Kindle. Book excerpt:
