郭柏灵论文集 第5卷PDF电子书下载

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