Frontiers in differential geometry, partial differential equations, and mathematical physics : in memory of Gu Chaohao / edited by Molin Ge [and three others].

Format:

Book

Contributor:

Ge, M. L. (Mo-Lin), editor.

Language:

English

Subjects (All):

Gu, Chaohao.

Geometry, Differential.

Differential equations, Partial.

Mathematical physics.

Physical Description:

1 online resource (371 p.)

Place of Publication:

Singapore : World Scientific, 2014.

Language Note:

English

Summary:

This book is a collection of papers in memory of Gu Chaohao on the subjects of Differential Geometry, Partial Differential Equations and Mathematical Physics that Gu Chaohao made great contributions to with all his intelligence during his lifetime. All contributors to this book are close friends, colleagues and students of Gu Chaohao. They are all excellent experts among whom there are 9 members of the Chinese Academy of Sciences. Therefore this book will provide some important information on the frontiers of the related subjects. Sample Chapter(s). A Profile of the Late Professor Gu Chaohao (

Contents:

Preface; Contents; A Profile of the Late Professor Gu Chaohao; References; List of Publications of Gu Chaohao; In Memory of Professor Gu Chaohao; In Memory of Professor Gu Chaohao; Stability of E-H Mach Configuration in Pseudo-Steady Compressible Flow; 1. Introduction; 2. Nonlinear Free Boundary Value Problem; 3. Linearization and Corresponding Estimates; 4. Solution to the Nonlinear Problem; Acknowledgments; References; Incompressible Viscous Fluid Flows with Slip Boundary Conditions and Their Numerical Simulations; 1. Introduction

2. Primitive Form of Navier-Stokes Equations with Non-slip Boundary Conditions2.1. Solutions of Navier-Stokes equations; 2.2. Spectral method for primitive form of Navier-Stokes equations; 3. Vorticity-Stream Function Form of Navier-Stokes Equations with Non-slip Boundary Conditions; 3.1. Solutions of vorticity-stream function form; 3.2. Spectral method for the vorticity-stream function form; 4. Other Problems with Divergence-free Solutions; References; Global Existence and Uniqueness of the Solution for the Generalized Schrodinger-KdV System; 1. Introduction; 2. A Regularized System

2. Interior Estimates for Mean Curvature of Convex Cap3. Estimates for the Lower Bound of Δgz; References; Geometric Invariant Theory of the Space - A Modern Approach to Solid Geometry; 1. Introduction; 2. Spherical Trigonometry, the Basic Geometric Invariant Theory of Spherical Triangles; 2.1. Basic Theorems; 2.2. Geometric invariants of circumcentric subdivision; 2.3. Area preserving deformations of spherical triangles; 3. Tetranometry, the Basic Geometric Invariant Theory of Tetrahedra; 3.1. Geometric invariant theory of doubly orthogonal tetrahedra

3.2. Geometric invariant theory of isosceles tetrahedra3.3. Circumcentric subdivision of tetrahedra and the geometric invariant theory of tetranometry; 4. An Outstanding Example of Problems of Solid Geometry: The Sphere Packing Problem; 4.1. Three kinds of sphere packings, various kinds of densities and problems of their optima; 4.2. A simple local invariant and the definition of global densities of packings of the second and the third kinds; 4.3. Fundamental problem and fundamental theorem of sphere packings; 5. Two Stages of Localizations and Two Stages of Area-wise Estimates

5.1. The geometry of local packings and the analysis of density of D-cells

Notes:

Description based upon print version of record.

Includes bibliographical references at the end of each chapters.

Description based on print version record.

ISBN:

981-4578-09-6