《郭柏灵论文集（第7卷）》收集了郭柏灵院士在2008年和2009年中的主要研究成果，是关于非线性发展方程、无穷维动力系统、数学物理、数值分析等方面的专著。文集中涉及的许多问题的研究是郭柏灵先生得到了第一个结果，开创了研究的先河，对国内外同行的研究产生了深远的影响。该文集原创性强、学术价值大、社会影响力大。文集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。

2005年

Two New Types of Bounded Waves of CH-1' Equation

Multiple Nodal Bound States for a Quasilinear Schrodinger Equation

Existence of Solitary Waves for a Simplified Two Fluid System of Equations

in Plasma

The "Blow up" Problem for a Quasilinear Schrodinger Equation

Homoclinic Orbits for the Coupled Nonlinear Schrodinger System and

Long-short Wave Equation

The Well-posedness of Cauchy Problem for the Generalized Nonlinear Dispersive

Equation

Well-posedness of the Cauchy Problem for the Hirota Equation in Sobolev Spaces H'

Periodic Cusp Wave Solutions and Single-solitons for the b-equation

2006

Global Regular Solutions for Landau-Lifshitz Equation

Existence of Weak Solutions and Trajectory Attractors for the Moist Atmospheric

Equations in Geophysics

New Numerical Algorithms for the Nonlinear Diffusion Model of Image

Denoising and Segmentation

Multiple Periodic Solutions for Two-dimensional Lattice Dynamic Systems

The Global Attractor of the Damped, Forced Generalized Korteweg de

Vries-Benjamin-Ono Equation in L2

Almost Conservation Law and Global Rough Solutions to a Nonlinear

Davey-Stewartson Equation

Isometric Decomposition Operators, Function Spaces Eq and Applications to

Nonlinear Evolution Equations

Time Periodic Solution of the Viscous Camassa-Holm Equation

2007年

Attractors of the Derivative Complex Ginzburg-Landau Equation in Unbounded Domains

Strong Instability of Standing Waves for a Nonlocal Schrodinger Equation

Sharp Global Existence and Blowing up Results for Inhomogeneous Schrodinger Equations

The Global Attractor of the Damped Forced Ostrovsky Equation

Blow up Solutions for One Class of System of Pekar-Choquard Type Nonlinear

Schrodinger Equation

Blow-up Solutions for N Coupled Schrodinger Equations

Periodic Weak Solutions for a Classical One-dimensional Isotropic Biquadratic

Heisenberg Spin Chain

Dynamical Behavior for the Three-dimensional Generalized Hasegawa-Mima Equations

Global Existence of Weak Solutions for Landau-Lifshitz-Maxwell Equations

随机广义Cinzburg-Landau方程的吸引子

后记