郭柏灵院士三十多年来，潜心于非线性发展方程的理论研究，其中包括Landau-Lifshitz方程、Benjamin-one方程等，很多该类型的非线性发展方程都具有明显的实际背景，而且都有鲜明的特性，如强非线性耦合性和奇异性等。研究了这些方程大初值可解性、解的惟一性、正则性、渐近行为以及爆破现象等，完善了数学理论。

这本《郭柏灵论文集》按照郭老师在不同时期所从事的研究领域，分成多卷出版。文集中所搜集的都是郭老师正式发表过的学术成果。把这些成果整理成集出版，不仅系统地反映了他的科研成就，更重要的是对于从事这方面学习、研究的学者无疑大有裨益。

1996

Remarks on the Generalized Kadomtsev-Petviashvili Equations and Two-dimensional Benjamin-Ono Equations

Generalized Landau-Lifshitz Systems and Harmonic Maps

Two Dimensional Landau-Lifshitz Equation

On the Suitable Weak Solutions for the Cauchy Problem of the Boussinesq Equations

On the Suitable Weak Solutions to the Boussinesq Equations in a Bounded Domain

The Initial-boundary Value Problem for the Boussinesq Equations with Data in Lp

Approximate Inertial Manifolds to the Newton-Boussinesq Epuations

The Global Solution and Its Long Time Behavior for a Class of Generalized LS Type Equations

Attractors and Dimensions for Discretizations of a Generalized Ginzburg-Landau Equatio

Global Solutions and Their Large-Time Behavior of Cauchy Problem for Equations of Deep Water Type

Gevrey Regularity and Approximate Inertial Manifolds for the Derivative Ginzburg-Landau Equation in Two Spatial Dimensions

在Minkowski时空中的具质量项的Yang-Mills-Higgs方程的Cauchy问题

Finite Dimensional Behavior of Global Attractors for Weakly Damped Nonlinear Schrodinger-Boussinesq Equations

Global Attractors for the Initial Value Problems of Cahn-Hilliard Equations on Compact Manifolds

The Global Attractors for the Periodic Initial Value Problem for a Coupled Non-linear Wave Equation

The Cauchy Problem for the System of Zakharov Equations Arising from Ion-Acoustic Modes

The Attractors for the Landau-Lifshitz Equation of the Ferromagnetic Spin Chain on Compact Manifolds

Approximation to the Global Attractor for a Nonlinear Schr'odinger Equation

广义Kuramoto-Sivashinsky 型方程惯性流形的存在性

1997

Remarks on the Nonlinear Schrodinger Equations in Plasma

Global Existence of the Solution for the Landau-Lifshitz Equation of the Ferromagnetic Spin Chain

Cauchy Problem for the Ginzburg-Landau Equation for the Superconductivity Model

Inertial Fractal Sets for Dissipative Zakharov System

Attractor for Dissipative Zakharov Equations in an Unbounded Domain

The Global Solution and Asymptotic Behaviors for One Class of System of Nonlinear Evolution Equations

Finite Energy Solution for the Hyperbolic Type Ginzburg-Landau System

Initial-boundary Value Problem for the Davey-Stewartson Systems

Finite-diniensional Behavior of Global Attractors for Weakly Damped and

 Forced KdV Equations Coupling with Nonlinear Schr6dinger Equations

Attractors for the Davey-Stewartson systems on R2

Convergence of a Conservative Difference Scheme for the Zakharov Equations in Two Dimensions

Attractor for Dissipative Klein-Gordon-Schr'odinger Equations in R3

The Large Time Convergence of Spectral Method For Generalized Kuramoto-Sivashinsky Equations

Global Weak Solution for the Landau-Lifshitz-Maxwell Equation in Three Space Dimensions

Decay of Global Solutions of Two Nonlinear Evolution Equations

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