- 50 YEARS OF YANG-MILLS THEORY
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Frontiers in differential geometry, partial differential equations, and mathematical physics : in memory of Gu Chaohao by Weiping Zhang 5 editions published in in English and held by WorldCat member libraries worldwide 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. Some topics in industrial and applied mathematics by International Conference on Industrial and Applied Mathematics 11 editions published in in English and held by WorldCat member libraries worldwide The Shanghai Forum on Industrial and Applied Mathematics was organized in May on the occasion that many famous industrial and applied mathematicians gathered in Shanghai from different countries to participate in the Officers' Meeting and the Board Meeting of the ICIAM International Council for Industrial and Applied Mathematics.

This volume collects the material covered by the majority of the lectures of which reflects panoramically recent results and trends in industrial and applied mathematics. This book will be very useful for graduate students and researchers in industrial and appl. Global propagation of regular nonlinear hyperbolic waves by Daqian Li 13 editions published in in English and held by WorldCat member libraries worldwide This monograph describes global propagation of regular nonlinear hyperbolic waves described by first-order quasilinear hyperbolic systems in one dimension.

The exposition is clear, concise, and unfolds systematically, beginning with introductory material which leads to the original research of the authors. Using the concept of weak linear degeneracy and the method of generalized normalized coordinates, this book establishes a systematic theory for the global existence and blowup mechanism of regular nonlinear hyperbolic waves with small amplitude for the Cauchy problem, the Cauchy problem on a semi-bounded initial data, the one-sided mixed initial-boundary value problem, the generalized Riemann problem, the generalized nonlinear initial-boun dary Riemann problem, and some related inverse problems.

Motivation is given via a number of physical examples from the areas of elastic materials, one-dimensional gas dynamics, and waves.

### 50 YEARS OF YANG-MILLS THEORY

Global Propagation of Regular Nonlinear Hyperbolic Waves will stimulate further research and help readers further understand important aspects and recent progress of regular nonlinear hyperbolic waves. Partial differential equations : theory, control and approximation : in honor of the scientific heritage of Jacques-Louis Lions by Philippe G Ciarlet 15 editions published between and in English and held by WorldCat member libraries worldwide This book collects papers mainly presented at the "International Conference on Partial Differential Equations: Theory, Control and Approximation" May 28 to June1, in Shanghai in honor of the scientific legacy of the exceptional mathematician Jacques-Louis Lions.

The contributors are leading experts from all over the world, including members of the Academies of Sciences in France, the USA and China etc. Mathematical model of spontaneous potential well-logging and its numerical solution by Daqian Li 12 editions published between and in English and Undetermined and held by WorldCat member libraries worldwide Spontaneous potential SP well-logging is one of the most common and useful well-logging techniques in petroleum exploitation.

This monograph is the first of its kind on the mathematical model of spontaneous potential well-logging and its numerical solutions. The mathematical model established in this book shows the necessity of introducing Sobolev spaces with fractional power, which seriously increases the difficulty of proving the well-posedness and proposing numerical solution schemes. In this book, in the axi-symmetric situation the well-posedness of the corresponding mathematical model is proved and three efficient schemes of numerical solution are proposed, supported by a number of numerical examples to meet practical computation needs.

The remarkable progress in the mathematical understanding of this equation involves a combined use of mathematical tools from many branches of mathematics. The GinzburgLandau model has been an amazing source of new problems and new ideas in analysis, geometry and topology. This collection will meet the urgent needs of the specialists, scholars and graduate students working in this area or related areas. Differential geometry and related topics - proceedings of the international conference on modern mathematics and the international symposium on differential geometry by Daqian Li 1 edition published in in English and held by WorldCat member libraries worldwide The International Conference on Modern Mathematics and the International Symposium on Differential Geometry, in honor of Professor Su Buchin on the centenary of his birth, were held in September at Fudan University, Shanghai, China.

Contents: Asymptotic. Exact boundary controllability of nodal profile for quasilinear hyperbolic systems by Daqian Li 12 editions published in in 3 languages and held by WorldCat member libraries worldwide This book provides a comprehensive overview of the exact boundary controllability of nodal profile, a new kind of exact boundary controllability stimulated by some practical applications. In this book we present a general discussion of this kind of controllability for general 1-D first order quasilinear hyperbolic systems and for general 1-D quasilinear wave equations on an interval as well as on a tree-like network using a modular-structure construtive method, suggested in LI Tatsien's monograph "Controllability and Observability for Quasilinear Hyperbolic Systems" , and we establish a complete theory on the local exact boundary controllability of nodal profile for 1-D quasilinear hyperbolic systems.

Nonlinear wave equations by Daqian Li 15 editions published between and in English and held by WorldCat member libraries worldwide "This book focuses on nonlinear wave equations, which are of considerable significance from both physical and theoretical perspectives. It also presents complete results on the lower bound estimates of lifespan including the global existence , which are established for classical solutions to the Cauchy problem of nonlinear wave equations with small initial data in all possible space dimensions and with all possible integer powers of nonlinear terms.

Further, the book proposes the global iteration method, which offers a unified and straightforward approach for treating these kinds of problems. Purely based on the properties of solut ions to the corresponding linear problems, the method simply applies the contraction mapping principle. Audience Level. Related Identities.

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Associated Subjects. Biomathematics Boundary value problems Calculus of variations China Conservation laws Mathematics Difference equations Differential equations Differential equations, Hyperbolic Differential equations, Nonlinear Differential equations, Nonlinear--Numerical solutions Differential equations, Partial Elasticity Engineering mathematics Engineering mathematics--Industrial applications Fluid dynamics--Mathematics Functional analysis Functional equations Geometry Geometry, Differential Geophysical well logging Geophysical well logging--Mathematical models Geophysics Gu, Chaohao Homogenization Differential equations Inhomogeneous materials--Mathematical models Lions, J.

- Pseudo-automorphisms with no invariant foliation.
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Daqian, Li. English German 1 Chinese 1 Hebrew 1. Conference papers and proceedings. Pardalos; Steffen Rebennack; Mario V. Brown; M. Furi; L. Gorniewicz; B. Ross; Nathan S. Volchkov; Vitaly V. Berenstein Irene Sabadini; Daniele C.

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Nagel; Dietmar B. Kroener; Michael M. Marchenko; Evgueni Ya. Lakshmikantham; E. Escultura; S. Lesky; Rene F. Dontchev; R. Cloud; Byron C. Marshall; Ingram Olkin; Barry C. Bergstra; Cornelis A. Constanda; Z.

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## Algorithms in Combinatorial Geometry (Eatcs Monographs on

Nashed; D. Constanda; S. Perez Integrali singolari e questioni connesse G. Fichera; E. Hooker Integration: Chapitre 5 N. Bourbaki Integration: Chapitres 1 a 4 N. Bourbaki Integration: Chapitres 7 et 8 N. Bourbaki Integration: Chapitre 6 N. Carmona; Michael R. Nepomnyashchy; I. Simanovskii; J. Borwein; Matthew P.

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Hendrix; Boglarka G. Marsden; L. Sirovich; M. Golubitsky; W. Suess; Bruce E. Otto; J. Breuer; D. Mortveit; Christian M. Tyson; Luca Capogna; Scott D.