《郭柏灵论文集 第5卷》PDF下载

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  • 作  者:郭柏灵著
  • 出 版 社:广州:华南理工大学出版社
  • 出版年份:2009
  • ISBN:9787562328476
  • 页数:607 页
图书介绍:本书收录了郭柏灵院士1998至2000年在国内外著名刊物所发表的研究论文。研究内容包括非线性方程解的问题、无穷维动力系统、耗散非线性发展方程等,并建立了有关数学理论开创了国际研究的先河,在国内享有盛誉。

1998年 1

Partial Regularity for Two Dimensional Landau-Lifshitz Equations 1

Global Attractor of a Class of Strongly Damped Nonlinear Wave Equations 11

耦合Schr?dinger-KdV方程组Cauchy问题的适定性 20

Slow Time-periodic Solutions of Cubic-quintic Ginzburg-Landau Equation(Ⅰ)——Equilibria Problem 28

Slow Time-periodic Solutions of Cubic-quintic Ginzburg-Landau Equation(Ⅱ)——Heteroclinic Orbits 40

Attractors for the Long-short Wave Equations 48

Initial-boundary Value Problem for the Landau-Lifshitz System(Ⅰ)——Existence and Partial Regularity 67

Initial-boundary Value Problem for the Landau-Lifshitz System(Ⅱ)——Uniqueness 78

Gevrey Class Regularity and Approximate Inertial Manifolds for the Newton-Boussinesq Equations 83

Attractor for the Dissipative Generalized Klein-Gordon-Schr?dinger Equations 93

The Global Smooth Solution for Landau-Lifshitz-Maxwell Equation without Dissipation 104

Global Attractor and Its Dimension Estimates for the Generalized Dissipative KdV Equation on R 117

Attractor for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities 125

Long Time Behavior of Strongly Damped Nonlinear Wave Equations 138

Space-time Means and Solutions to a Class of Nonlinear Parabolic Equations 147

Orbital Stability of Solitary Waves of the Long Wave-short Wave Resonance Equations 161

Well-posedness of Cauchy Problem for Coupled System of Long-short Wave Equations 172

Global Flow Generated by Coupled System of Schr?dinger-BBM Equations 184

Remarks on the Global Attractors of Semigroups Having a Lyapunov Functional 193

Approximate Inertial Manifolds of Non-Newtonian Viscous Incompressible Fluids 197

1999年 211

Long Time Behavior of Nonlinear Strain Waves in Elastic Waveguides 211

Smooth Solution for One-dimensional Inhomogeneous Heisenberg Chain Equations 222

Smooth Solution of the Generalized System of Ferromagnetic Chain 234

Well-posedness of the Cauchy Problem for the Coupled System of the Schr?dinger-KdV Equations 246

The Cauchy Problem for Davey-Stewartson Systems 256

Solitary Waves for Two-dimensional Schr?dinger-Kadomtsev-Petviashvili Equations 269

Global Existence of Smooth Solution to Nonlinear Thermoviscoelastic System with Clamped Boundary Conditions in Solid-like Materials 280

Asymptotic Behavior of the Solution to the System for a Viscous Reactive Gas 298

Long-time Uniform Stability of Solution to Magnetohydrodynamics Equation 317

Measure-valued Solution to the Strongly Degenerate Compressible Heisenberg Chain Equations 323

Orbital Stability of Solitary Waves of Coupled KdV Equations 333

2000年 344

三维Wigner-Poisson方程组的Cauchy问题 344

The Attractors for Landau-Lifshitz-Maxwell Equations 351

Global Attractor of Nonlinear Strain Waves in Elastic Waveguides 370

Initial-boundary Value Problem for the Unsaturated Landau-Lifshitz System 384

Exponential Attractors for the Generalized Ginzburg-Landau Equation 400

Global Existence of Solutions to the Derivative 2D Ginzburg-Landau Equation 412

Approximate Inertial Manifolds for Davey-Stewartson Equations 428

On the Weak Solution to the Equations of Antiferromagnets 438

Existence and Blow-up of Solutions to Degenerate Davey-Stewartson Equations 447

Initial-boundary Value Problem for the Landau-Lifshitz System with Applied Field 461

Algebraic L2 Decay for the Solution to a Class System of Non-Newtonian Fluid in Rn 476

Attractors for the Ginzburg-Landau-BBM Equations in an Unbounded Domain 485

2001年 494

具调和振子的非线性Schr?dinger方程 494

Long Time Behavior of Solutions of Davey-Stewartson Equations 500

Neumann Rroblem for the Landau-Lifshitz-Maxwell System in Two Dimensions 512

Some Exact Nontrivial Global Solutions with Values in Unit Sphere for Two-dimensional Landau-Lifshitz Equations 525

Existence of the Periodic Solution for the Weakly Damped Schr?dinger-Boussinesq Equation 530

Almost Periodic Solution of Generalized Ginzburg-Landau Equation 545

On the Initial Value Problem and Scattering of Solutions for the Generalized Davey-Stewartson Systems 556

三维Wigner-Poisson方程解的渐近性 566

The Global Solution for Landau-Lifshitz-Maxwell Equations 577

Time-periodic Solutions to the Ginzburg-Landau-BBM Equations 591

具非均匀介电常数的半导体方程组的初边值问题 598

后记 607