Perspectives in mathematical sciences / editors, Yisong Yang, Xinchu Fu, Jingiao Duan.

Format:

Book

Contributor:

Yang, Yisong.

Fu, Xinchu.

Duan, Jinqiao.

Series:

Interdisciplinary mathematical sciences ; v. 9.

Interdisciplinary mathematical sciences ; v. 9

Language:

English

Subjects (All):

Mathematics--Research.

Mathematics.

Physical Description:

1 online resource (372 p.)

Edition:

1st ed.

Place of Publication:

Singapore ; Hackensack, N.J. : World Scientific, c2010.

Language Note:

English

Summary:

Mathematical sciences have been playing an increasingly important role in modern society. They are in high demand for investigating complex problems in physical science, environmental and geophysical sciences, materials science, life science and chemical sciences. This is a review volume on some timely and interesting topics in applied mathematical sciences. It reviews new developments and presents some future research directions in these topics. The chapters are written by reknowned experts in these fields. The volume is written with a wide audience in mind and hence will be accessible to gra

Contents:

Preface; Editorial Foreword; Selected Books Authored by Youzhong Guo; Contents; 1. Periodic Boundary Problems for Analytic Function Including Automorphic Functions Haitao Cai and Jian-Ke Lu; 1. Periodic Boundary Value Problems for Analytic Functions; 1.1. Periodic Riemann Boundary Value Problems: Case of Closed Contours; 1.2. Periodic Riemann Boundary Value Problems: Case of Open Ares or Discontinuous Coefficients; 1.3. Periodic Riemann-Hilbert Boundary Value Problems: Case of the Half-plane; 2. Periodic Problems for Isotropic Material in Elastic Theory; 2.1. Stress Functions

2.2. Periodic Fundamental Problems of Elastic Half-plane2.3. Periodic Contact Problems; 3. Periodic Problems for Anisotropic Medium; 3.1. The stress Functions; 3.2. Periodic Fundamental Problems of Anisotropic Half-plane; 3.3. Periodic Contact Problem for Anisotropic Medium; 4. Periodic Crack Problems in Plane Elasticity; 4.1. Fundamental Problems of Isotropic Plane with Periodic Collinear Cracks; 4.2. Fundamental Problems of Anisotropic Elastic Plane with Periodic Collinear Cracks; 5. Generalized Symmetric Boundary Value Problems for Automorphic Functions; 5.1. Relaxing Conditions

5.2. Generalized Plemelj Formulae and Singular Integral Equations5.3. Generalized Plemelj Formula and Automorphic Functions; 5.4. Singular Integral Equations and Boundary Value Problems; 5.5. Boundary Value Problems and Automorphic Functions; 6. Some Closed Formulae; 7. Some Remarks; References; 2. Subharmonic Bifurcations and Chaos for a Model of Micro-Cantilever in MEMS Yushu Chen, Liangqiang Zhou and Fangqi Chen; 1. Introduction; 2. Formulation of the problem; 3. Melnikov analysis; 4. Numerical simulations; 5. Conclusions; References

3. Canonical Sample Spaces for Random Dynamical Systems Jinqiao Duan, Xingye Kan and Bjorn Schmalfuss1. Random dynamical systems; 2. Dynamical systems driven by white noises; 2.1. Brownian Motion; 2.2. Wiener Measure; 2.3. Canonical sample space; 3. Dynamical systems driven by colored noises; 3.1. Fractional Brownian motion; 3.2. Canonical sample space; 4. Dynamical systems driven by non-Gaussian noises; 4.1. L evy Motions; 4.2. Canonical sample space; References; 4. Epidemic Propagation Dynamics on Complex Networks Xinchu Fu, Zengrong Liu, Michael Small and Chi Kong Tse; 1. Introduction

2. The epidemic threshold for SIS model with piecewise linear infectivity2.1. Piecewise linear infectivity; 2.2. Piecewise smooth and nonlinear infectivity; 3. Model with different immunities and infectivities; 3.1. Multiple susceptible individuals; 3.2. Multiple infected individuals; 3.3. Multiple-staged infected individuals; 4. SIS model with population mobility; 4.1. Epidemic spreading without mobility of individuals; 4.2. Spreading of epidemic diseases among different cities; 4.3. Epidemic spreading within and between cities; 4.3.1. The epidemic rate is β inside the same cities

4.3.2. The epidemic rate is β inside the same cities

Notes:

Description based upon print version of record.

Includes bibliographical references.

ISBN:

9786612761652

9781282761650

128276165X

9789814289313

9814289310

OCLC:

671655145