2011年

Diffusion Limit of Small Mean Free Path of Transfer Equation in R3

Compressible Limit of the Nonlinear Schr'6dinger Equation with Different-degree Small Parameter Nonlinearities

Some Traveling Wave Solitons of the Green-Naghdi System

Travelling Wave Solutions of a Generalized Camassa-Holm-Degasperis-Procesi Equation

Dynamics of Stochastic Klein-Gordon-schr6dinger Equations in Unbounded Domains

Random Attractors for a Stochastic Hydrodynamical Equation in Heisenberg Paramagnet

Regularity of the Attractor for 3-D Complex Ginzburg-Landau Equation

Sharp Constant of an Improved Gagliardo-Nirenberg Inequality and Its Application

Blow-up Solutions to a Viscoelastic Fluid System and a Coupled Navier-Stokes/Phase-field System in R2

Convergence of a Nonlinear Finite Difference Scheme for the Kuramoto-Tsuzuki Equation

Orbital Stability of Solitary Waves for the Compound KdV Equation

Existence of the Universal Attractor for the 3-D Viscous Primitive Equations of Large-scale Moist Atmosphere

Optimal Lower Bound Estimates for the Blow-up Rate for the Zakharov System in a Nonhomogeneous Medium

Well-posedness of the Cauchy Problem for the Magnetic Zakharov Type System

The Fractional Landau-Lifshitz-Gilbert Equation and the Heat Flow of Harmonic Maps

Smooth Solutions for a Stochastic Hydrodynamical Equation in Heisenberg Paramagnet

Analysis of Some Finite Difference Schemes for Two-dimensional Ginzburg-Landau Equation

Global Well-lmsedness of the Stochastic 2D Boussinesq Equations with Partial Viscosity

Classical Solutions of Time-dependent Ginzburg-Landau Theory for Atomic Fermi Gases Near the BCS-BEC Crossover

Momentum Estimates and Ergodicity for the 3D Stochastic Cubic Ginzburg-Landau Equation with Degenerate Noise

Blow-up Phenomena of the Vector Nonlinear Schr'odinger Equations with Magnetic Fields

Existence of Weak Solution for Quantum Zakharov Equations for Plasmas Model

Global Strong Solutions of a Simplified Two-fluid Model in Plasma

Virial Type Blow-up Solutions for the Zakharov System with Magnetic Field in a Cold Plasma

Rogue Wave, Breathers and Bright-dark-rogue Solutions for the Coupled Schrodinger Equations

Low Mach Number Limit of the Compressible Magnetohydrodynamic Equations with Zero Thermal Conductivity Coefficient

Random Attractor for a Stochastic Hydrodynamical Equation in Heisenberg Paramagnet on an Unbounded Domain

Vanishing Viscosity Limit for a Coupled Navier-Stokes/Allen-Cahn System

一维非线性Schrodinger方程的两个无条件收敛的守恒紧致差分格式

非线性Schrodinger方程(Ⅰ)：Bose-Einstein凝聚和怪波现象

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，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。《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。本书是第十卷。