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。

这套《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。本书为《郭柏灵论文集》的第五卷。

1998年

Partial Regularity for Two Dimensional Landau-Lifshitz Equations

Global Attractor of a Class of Strongly Damped Nonlinear Wave Equations

耦合Schrodinger-KdV 方程组Cauchy问题的适定性

Slow Time-periodic Solutions of Cubic-quintic Ginzburg-Landau Equation (I)

  --Equilibria Problem

Slow Time-periodic Solutions of Cubic-quintic Ginzburg-Landau Equation (II)

  --Heteroclinic Orbits

Attractors for the Long-short Wave Equations

Initial-boundary Value Problem for the Landau-Lifshitz System (I)

  --Existence and Partial Regularity

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

  --Uniqueness

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

Attractor for the Dissipative Generalized Klein-Gordon-Schr'odinger Equations

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

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

Attractor for the Dissipative Hamiltonian Amplitude Equation Governing Modulated Wave Instabilities

Long Time Behavior of Strongly Damped Nonlinear Wave Equations

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

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

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

Global Flow Generated by Coupled System of Schrodinger-BBM Equations

Remarks on the Global Attractors of Semigroups Having a Lyapunov Functional

Approximate Inertial Manifolds of Non-Newtonian Viscous Incompressible Fluids

1999年

Long Time Behavior of Nonlinear Strain Waves in Elastic Waveguides

Smooth Solution for One-dimensional Inhomogeneous Heisenberg Chain Equations

Smooth Solution of the Generalized System of Ferromagnetic Chain

Well-posedness of the Cauchy Problem for the Coupled System of the Schrodinger-KdV Equations

The Cauchy Problem for Davey-Stewartson Systems

Solitary Waves for Two-dimensional Schr'6dinger-Kadomtsev-Petviashvili Equations

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

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

Long-time Uniform Stability of Solution to Magnetohydrodynamics Equation

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

Orbital Stability of Solitary Waves of Coupled KdV Equations

2000年

三维Wigner-Poisson方程组的Cauchy问题

The Attractors for Landau-Lifshitz-Maxwell Equations

Global Attractor of Nonlinear Strain Waves in Elastic Waveguides

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

Exponential Attractors for the Generalized Ginzburg-Landau Equation

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

Approximate Inertial Manifolds for Davey-Stewartson Equations

On the Weak Solution to the Equations of Antiferromagnets

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

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

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

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

2001年

具调和振子的非线性Schrodinger方程

Long Time Behavior of Solutions of Davey-Stewartson Equations

Neumann Problem for the Landau-Lifshitz-Maxwell System in Two Dimensions

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

Existence of the Periodic Solution for the Weakly Damped Schrodinger-Boussinesq Equation

Almost Periodic Solution of Generalized Ginzburg-Landau Equation

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

三维Wigner-Poisson方程解的渐进性

The Global Solution for Landau-Lifshitz-Maxwell Equations

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

具非均匀介电常数的半导体方程组的初边值问题

后记