重大装备中问题驱动的应用数学理论和方法

　　《重大装备中问题驱动的应用数学理论和方法》内容涉及叶轮机械内部流动、涡轮增压、柴油发动机热力气动循环、薄壁构造和壳体理论、轴承润滑、核反应堆和核电站运行、Navier—Stokes方程理论和建立在近似惯性流形基础上的算法和维数分裂算法、非线性问题分歧理论和算法等等，这些问题与工程问题有紧密联系，可以为从事相关技术问题研究的读者或在校的研究生提供参考。

暂缺《重大装备中问题驱动的应用数学理论和方法》作者简介

A．叶轮机械、柴油发动机、壳体、轴承润滑和地球物理流动
A Geometrical Design Method for Blade’S Surface Shape and General
Minimal Surface
Optimal Shape Design for Blade’S Surface of an Impeller Via the Navier-
Stokes Equations
A Dimension Split Method for the 3-D Compressible Navier-Stokes
Equations in Turbomachine
Mathematical Aspect of Optimal Control Finite Element Method for
Navier-Stokes Problems
Mathematical Aspect of the Stream—Function Equations of Compressible
Turbomachinery Flows and Their Finite Element Approximations
Using Optimal Control
柴油发动机排气压力波计算
An Asymptotic Analysis Method for the Linearly Shell Theory
近代梁工程有限元分析
On the Uniqueness of the Unbounded Classical Soultion of the
Evolution System Describing Geophysical Flow within the
Earth and Its Associated Systems
On Existence，Uniqueness and L’-Exponential Starbility for Stationary
Solutions to the M HD Equations in Three-Dimensional Domains
B．近似惯性流形和Naviev-Stokes方法的惯性算法
A New Approximate Inertial Manifold and Associated Algorithm
An AIM and One——Step Newton Method for the Navier——Stokes Equations
Fourier Nonlinear Galerkin Method for Navier——Stokes Equations
时滞惯性流形及近似时滞惯性流形族
N—S方程一般近似惯性流形构造和逼近
N0nlinear Galerkin Method for Navier—Stokes Equations with Stream Form
加罚N—S方程的有限元非线性Galerkin方法
A Small Eddy Correction Method for Nonlinear Dissipative Evolutionary
Equations
Asymptotic Behavior and Time Discretization Analysis for the Non—Stationary
Navier—Stokes Problem
Convergence and Stability of Finite Element Nonlinear Galerkin Method
for the Navier—Stokes Equations
Uniform Attractors of Non—Autonomous Dissipative Semilinear
Wave Equations
无界区域上非自治Navier—Stokes方程的一致吸引子及其维数估计
非光滑区域上非自治Navier—Stokes方程非齐边界问题的吸引子
The Stability of Navier—Stokes Equations and the Estimation of Its
Attractor Dimension
C．外部问题的边界积分方程和有限元耦合方法
The Coupling of Boundary Integral and Finite Element Methods for the
Navier-Stokes Equations in an Exterior Domain
Stokes Coupling Method for the Exterior Flow Part III：Regularity
Coupling Method for the Exterior Stationary Navier—Stokes Equations
Oseen Coupling Method for the
Taylor Expansion Algorithm for the Branching Solution of the Navier
Stokes Equations
Global Bifurcation and Long Time Behavior of The Volterra—Lotka
Ecological Model
Existence and Nonexistence of Global Solutions for the Equation of
Dislocation of Crystals
TB点计算的一个分裂迭代方法
A Splitting Iteration Method for a Simple Corank-2 Bifurcation Problem
Bifurcation Solution Branches and Their Numerical Approximations of a
Semi—Linear Elliptic Problem with two Parameters
On the Solitary Wave Solutions of the CQNLS
On Positive Solutions．of the Lotka—Volterra Cooperating Models with
Diffusion
Navier—Stokes方程的非奇异解分支的谱Galerkin逼近
求解Navier—Stokes方程的非退化转向点的扩充系统的一步牛顿迭代法