WorldCat Identities

Giga, Yoshikazu

Overview
Works: 196 works in 336 publications in 2 languages and 2,250 library holdings
Genres: Conference papers and proceedings  Popular works  Miscellanea 
Roles: Author, Editor
Classifications: QA377, 515.353
Publication Timeline
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Most widely held works by Yoshikazu Giga
Surface evolution equations : a level set approach by Yoshikazu Giga( Book )

24 editions published between 2004 and 2006 in English and held by 204 WorldCat member libraries worldwide

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
Nonlinear partial differential equations : asymptotic behavior of solutions and self-similar solutions by Mi-Ho Giga( Book )

21 editions published between 2004 and 2010 in English and held by 147 WorldCat member libraries worldwide

The main focus of this textbook, in two parts, is on showing how self-similar solutions are useful in studying the behavior of solutions of nonlinear partial differential equations, especially those of parabolic type. The exposition moves systematically from the basic to more sophisticated concepts with recent developments and several open problems. With challenging exercises, examples, and illustrations to help explain the rigorous analytic basis for the Navier-Stokes equations, mean curvature flow equations, and other important equations describing real phenomena, this book is written for graduate students and researchers, not only in mathematics but also in other disciplines
What mathematics can do for you : essays and tips from Japanese industry leaders by Yoshikazu Giga( Book )

13 editions published in 2013 in English and held by 34 WorldCat member libraries worldwide

Japan is a tiny country that occupies only 0.25% of the world's total land area. However, this small country is the world's third largest in economy: the Japanese GDP is roughly equivalent to the sum of any two major countries in Europe as of 2012. This book is a first attempt to ask leaders of top Japanese companies, such as Toyota, about their thoughts on mathematics. The topics range from mathematical problems in specific areas (e.g., exploration of natural resources, communication networks, finance) to mathematical strategy that helps a leader who has to weigh many different issues and make
Surface evolution equations - a level set method by Yoshikazu Giga( Book )

4 editions published in 2002 in English and held by 9 WorldCat member libraries worldwide

Variational methods for evolving objects by Variational methods for evolving objects( Book )

4 editions published in 2015 in English and held by 7 WorldCat member libraries worldwide

Kyoto Conference on the Navier-Stokes Equations and their Applications( Book )

3 editions published in 2007 in English and held by 7 WorldCat member libraries worldwide

Hisenkei henbibun hōteishiki : Kai no zenkin kyodō to jiko sōji kai( Book )

2 editions published in 1999 in Japanese and held by 6 WorldCat member libraries worldwide

Bibun-hōteishiki-no-nenseikai-riron-to-sono-hatten : kenkyū-shūkai-hōkokushū( Book )

3 editions published between 2005 and 2010 in Japanese and English and held by 6 WorldCat member libraries worldwide

Ugoku kyokumen o oikakete by Yoshikazu Giga( Book )

4 editions published between 1996 and 2015 in Japanese and held by 6 WorldCat member libraries worldwide

Sūgaku wa yaku ni tatteiruka : Sūgaku ga keizai o ugokasu nihon kigyōhen( Book )

2 editions published in 2010 in Japanese and held by 5 WorldCat member libraries worldwide

Surface evolution equations A level set approach( )

1 edition published in 2006 in English and held by 5 WorldCat member libraries worldwide

Recent developments of mathematical fluid mechanics( Book )

7 editions published in 2016 in English and held by 5 WorldCat member libraries worldwide

The book addresses recent developments of the mathematical research on the Navier-Stokes and Euler equations as well as on related problems. In particular, there are covered: 1) existence, uniqueness, and the regularity of weak solutions; 2) stability of the motion in rest and the asymptotic behavior of solutions; 3) singularity and blow-up of weak and strong solutions; 4) vorticity and energy conservation; 5) motions of rotating fluids, or of fluids surrounding a rotating body; 6) free boundary problems; 7) maximal regularity theory and other abstract results for mathematical fluid mechanics. For this quarter century, these topics have been playing a central role in both pure and applied mathematics and having a great influence to the developm ent of the functional analysis, harmonic analysis and numerical analysis whose tools make a a substantial contribution to the investigation of nonlinear partial differential equations, particularly the Navier-Stokes and the Euler equations. There are 24 articles in this book in which the nonlinear PDE arising in the fluid mechanics are mainly discussed. The authors consist of speakers and participants of the "International Conference on the Mathematical Fluid Dynamics" on the occasion of Professor Yoshihiro Shibatas 60th birthday held on March 5--9 in 2013 at old capital city Nara, Japan
International Conference for the 25th Anniversary of Viscosity Solutions( Book )

3 editions published in 2008 in Japanese and English and held by 4 WorldCat member libraries worldwide

On blow up rate for sign-changing solutions in a convex domain by Yoshikazu Giga( Book )

2 editions published in 2003 in English and held by 3 WorldCat member libraries worldwide

Existence of self-similar evolution of crystals grown from supersaturated vapor by Yoshikazu Giga( Book )

3 editions published in 2003 in English and held by 3 WorldCat member libraries worldwide

Nonlinear waves proceedings of the Fourth MSJ International Research Institute, Sapporo, July 10-21, 1995 by Hokkaidō Daigaku( Book )

2 editions published between 1996 and 1997 in English and held by 3 WorldCat member libraries worldwide

A microscopic time scale approximation to the behavior of the local slope on the faceted surface under a nonuniformity in supersaturation by Etsuro Yokoyama( Book )

3 editions published in 2007 in English and held by 3 WorldCat member libraries worldwide

On the role of kinetic and interfacial anisotropy in the crystal growth theory by Mi-Ho Giga( Book )

3 editions published in 2012 in English and held by 3 WorldCat member libraries worldwide

Quasi-static evolution of 3-D crystals grown from supersaturated vapor by Yoshikazu Giga( Book )

3 editions published in 2001 in English and held by 3 WorldCat member libraries worldwide

Proceedings of the 38th Sapporo Symposium on Partial Differential Equations( Book )

3 editions published between 2013 and 2014 in English and held by 3 WorldCat member libraries worldwide

 
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Audience level: 0.51 (from 0.36 for Surface ev ... to 0.96 for Internatio ...)

Surface evolution equations : a level set approachSurface evolution equations A level set approach
Alternative Names
Giga, Y.

Giga, Yoshikazu

Giga, Yoshikazu 1955-

Yoshikazu Giga.

의아미일

ギガ, ヨシカズ

ギガ, ヨシカズ 1955-

儀我美一

Languages
English (98)

Japanese (12)

Covers
Nonlinear partial differential equations : asymptotic behavior of solutions and self-similar solutionsSurface evolution equations A level set approach