2008年

Attractor for Nonlinear Schr'odinger Equation Coupling with Stochastic Weakly Damped.Forced KdV Equation

Existence of the Global Smooth Solution to the Period Boundary Value Problem of Fractional Nonlinear Schr'ddinger Equation

液晶模型和Landau-Lifshitz方程强解的正则性

Random Attractors for a Quasi-geostrophic Dynamical System under Stochastic Forcin9

Random Attractors for Quasi-continuous Random Dynamical Systems and Applications to Stochastic Reaction-diffusion Equations

The Global Solution of the（2十1）-dimensional Long Wave-short Wave Resonance Interaction Equation。

The Decay Rates of Solutions of Generalized Benjamin--Bona.Mahony Equations in Multi-dimensions

Blow up and Instability of Solitary Wave Solutions to a Generalized Kadomtsev- Petviashvili Equation and Tw0-dimensional Benjamin-Ono Equations

Global Smooth Solutions of the Spin Polarized Transport EquationExistence of Partially Regular Weak Solutions to Landau-Lifshitz-Maxwdl Equations

The Limit Behavior of the Solutions to a Class of Nonlinear Dispersive Wave Equations

Cauchy Problem for the Multi-dimensional Boussinesq Type Equation

Well-posedness of the Ferrimagnetic Equations

THe AsymptOtic Behavior of the Stochastic Ginzbur9-Landau Equation with Additive Noise

Blow-up and Global Smooth Solutions for Incompressible Three-dimensional Navier-Stokes Equations

2009年

Blow up and Strong Instability Result for a Quasilinear Schr6dinger Equation

Orbital Stability of Solitary Waves for Kundu Equation

Some Exact Solutions to Multidimensional Landau-Lifshitz Equation with Uprush External Field and Anisotropy Field 2008年

Attractor for Nonlinear Schr'odinger Equation Coupling with Stochastic Weakly Damped.Forced KdV Equation

Existence of the Global Smooth Solution to the Period Boundary Value Problem of Fractional Nonlinear Schr'ddinger Equation

液晶模型和Landau-Lifshitz方程强解的正则性

Random Attractors for a Quasi-geostrophic Dynamical System under Stochastic Forcin9

Random Attractors for Quasi-continuous Random Dynamical Systems and Applications to Stochastic Reaction-diffusion Equations

The Global Solution of the（2十1）-dimensional Long Wave-short Wave Resonance Interaction Equation。

The Decay Rates of Solutions of Generalized Benjamin--Bona.

Mahony Equations in Multi-dimensions

Blow up and Instability of Solitary Wave Solutions to a Generalized Kadomtsev- Petviashvili Equation and Tw0-dimensional Benjamin-Ono Equations

Global Smooth Solutions of the Spin Polarized Transport EquationExistence of Partially Regular Weak Solutions to Landau-Lifshitz-Maxwdl Equations

The Limit Behavior of the Solutions to a Class of Nonlinear Dispersive Wave Equations

Cauchy Problem for the Multi-dimensional Boussinesq Type Equation

Well-posedness of the Ferrimagnetic Equations

THe AsymptOtic Behavior of the Stochastic Ginzbur9-Landau Equation with Additive Noise

Blow-up and Global Smooth Solutions for Incompressible

Three-dimensional Navier-Stokes Equations

2009年

Blow up and Strong Instability Result for a Quasilinear Schr6dinger Equation

Orbital Stability of Solitary Waves for Kundu Equation

Some Exact Solutions to Multidimensional Landau-Lifshitz

Equation with Uprush External Field and Anisotropy Field

Dynamics of Stochastic Zakharov Equations

Attractor and Spatial Chaos for the Brusselator in RN

Global Solutions of a Dynamical Equation in Ferrimagnet

Blowup and Global Existence of the Nonlinear Schrodinger

Equations with Multiple Potentials

Instability of Standing Wave, Global Existence and Blowup for the Klein-Gordon-Zakharov System with Different-degree Nonlinearities

Well Posedness for the Stochastic Cahn-hilliard Equation Driven by Levy Space-time White Noise

Existence and Stability of Steady Waves for the Hasegawa-Mima Equation

Blowup Profile to the Solutions of Two-coupled Schrodinger

Equations

Stochastic Landau-Lifshitz Equation

Sharp Threshold of Global Existence for the Generalized

Davey-Stewartson System in a2

3D Stochastic Primitive Equations of the Large-scale Ocean: Global Well-posedness and Attractors

The Convergence of Non-Newtonian Fluids to Navier-Stokes Equations

Sharp Constant in Nonlocal Inequality and Its Applications t

o Nonlocal Schrodinger Equation with Harmonic Potential

Orbital Stability of Standing Wave Solution for a Quasilinear Schodinger Equation

后记

《郭柏灵论文集（第8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。