Surface Evolution Equations

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Surface Evolution Equations

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Author : Yoshikazu Giga
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-03-30

Surface Evolution Equations written by Yoshikazu Giga 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 2006-03-30 with Mathematics categories.

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.

Surface Evolution Equations

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Author : Yoshikazu Giga
language : en
Publisher:
Release Date : 2006

Surface Evolution Equations written by Yoshikazu Giga and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with categories.

Surface Evolution Equations

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Author : Yoshikazu Giga
language : en
Publisher:
Release Date : 2002

Surface Evolution Equations written by Yoshikazu Giga and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with categories.

Geometric Evolution Equations

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Author : Shu-Cheng Chang
language : en
Publisher: American Mathematical Soc.
Release Date : 2005

Geometric Evolution Equations written by Shu-Cheng Chang and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Mathematics categories.

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.

An Integral Solution To Surface Evolution Pdes Via Geo Cuts

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Author : Yuri Boykov
language : en
Publisher: London : Department of Computer Science, University of Western Ontario
Release Date : 2006

An Integral Solution To Surface Evolution Pdes Via Geo Cuts written by Yuri Boykov and has been published by London : Department of Computer Science, University of Western Ontario this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Differential equations, Partial categories.

Geological Surface Evolution Modeling

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Author : Amy Meredith Searcy
language : en
Publisher:
Release Date : 1998

Geological Surface Evolution Modeling written by Amy Meredith Searcy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998 with Diffusion processes categories.

Integrable Nonlinear Evolution Equations Applied To Solidification And Surface Redistribution

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Author : Peter Tritscher
language : en
Publisher:
Release Date : 1996

Integrable Nonlinear Evolution Equations Applied To Solidification And Surface Redistribution written by Peter Tritscher and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996 with Crystals categories.

Derivations And Solution Methods Of Evolution Equations For Surface Atomic Clustering

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Author : Martin Vicanek
language : en
Publisher:
Release Date : 1990

Derivations And Solution Methods Of Evolution Equations For Surface Atomic Clustering written by Martin Vicanek and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1990 with categories.

Passing From Bulk To Bulk Surface Evolution In The Allen Cahn Equation

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Author : Matthias Liero
language : en
Publisher:
Release Date : 2012

Passing From Bulk To Bulk Surface Evolution In The Allen Cahn Equation written by Matthias Liero and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with categories.

Moving Interfaces And Quasilinear Parabolic Evolution Equations

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Author : Jan Prüss
language : en
Publisher: Birkhäuser
Release Date : 2016-07-25

Moving Interfaces And Quasilinear Parabolic Evolution Equations written by Jan Prüss and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-07-25 with Mathematics categories.

In this monograph, the authors develop a comprehensive approach for the mathematical analysis of a wide array of problems involving moving interfaces. It includes an in-depth study of abstract quasilinear parabolic evolution equations, elliptic and parabolic boundary value problems, transmission problems, one- and two-phase Stokes problems, and the equations of incompressible viscous one- and two-phase fluid flows. The theory of maximal regularity, an essential element, is also fully developed. The authors present a modern approach based on powerful tools in classical analysis, functional analysis, and vector-valued harmonic analysis. The theory is applied to problems in two-phase fluid dynamics and phase transitions, one-phase generalized Newtonian fluids, nematic liquid crystal flows, Maxwell-Stefan diffusion, and a variety of geometric evolution equations. The book also includes a discussion of the underlying physical and thermodynamic principles governing the equations of fluid flows and phase transitions, and an exposition of the geometry of moving hypersurfaces.