2014年
H2-regularity Random Attractors of Stochastic Non-Newtonian Fluids with Multiplicative Noise
Global Existence of Smooth Solutions to the Model Equations for Turbulent Flows
Global Random Attractors for the Stochastic Dissipative Zakharov Equations
Global Smooth Solutions of the Generalized KS-CGL Equations for Flames Governed by a Sequential Reaction
Blow-up of Smooth Solutions to the Isentropic Compressible MHD Equations
Random Attractors of Stochastic Non-Newtonian Fluids on Unbounded Domain
Long Time Behavior of Solutions to Coupled Burgers-Complex Ginzburg-Landau (Burgers-CGL) Equations for Flames Governed by Sequential Reaction
High-order Rogue Waves in a Vector Nonlinear Schr.odinger Equations
Schr.odinger Limit of Weakly Dissipative Stochastic Klein-Gordon-Schr.odinger Equations and Large Deviations
Global Well-posedness for the Fractional Schr.odinger-Boussinesq System
The Stability of Stochastic Generalized Porous Media Equations with General Levy Noise
The Exponential Decay of Solutions and Traveling Wave Solutions for a Modiled Camassa-Holm Equation with Cubic Nonlinearity
Global Smooth Solutions for the Zakharov System with Quantum E.ects in Two Space Dimensions
Ergodicity of the Stochastic Fractional Reaction-Di.usion Equation
Existence of Generalized Heteroclinic Solutions of the Coupled Schr.odinger System under a Small Perturbation
On the Equations of Thermally Radiative Magnetohydrody namics
大气、海洋动力学中一些非线性偏微分方程的研究
连串反应中控制火焰的耦合 GKS-CGL 方程组解的极限行为
2015年
A Class of Stable and Conservative Finite Di.erence Schemes for the Cahn-Hilliard Equation
Di.usion Limit of 3D Primitive Equations of the Large-scale Ocean under Fast Oscillating Random Force
Existence of Topological Vortices in an Abelian Chern-Simons Model
Radiative Transfer in Two Adjoining Media: The Continuity of Thermal Flux and the Existence and Uniqueness of Solutions
Darboux Transformation and Multi-dark Soliton for N-component Nonlinear Schr.odinger Equations
The Cauchy Problem of the Modiled CH and DP Equations
Stochastic Korteweg-de Vries Equation Driven by Fractional Brownian Motion
Global Strong Spherically Symmetric Solutions to the Full Compressible Navier-Stokes Equations with Stress Free Boundary
Solutions of Ginzburg-Landau Theory for Atomic Fermi Gases near the BCS-BEC Crossover
Orbital Instability of Standing Waves for the Generalized 3D Nonlocal Nonlinear Schr.odinger Equations
Existence of the Global Smooth Solution to a Fractional Nonlinear Schr.odinger System in Atomic Bose-Einstein Condensates
Diffusion Limit of 3D Primitive Equations of the Large-scale Ocean under Fast Oscillating Random Force
Uniqueness of Weak Solutions to the 3D Ginzburg-Landau Superconductivity Model
High-Order Soliton Solution of Landau-Lifshitz Equation
Random Attractor and Stationary Measure for Stochastic Long-short Wave Equations
Global Well-Posedness of Stochastic Burgers Systerm

Chen Yuzhuo编的《郭柏灵论文集(第13卷英文版)(精)》收集的是郭柏灵先生发表于2014,2015年度的主要科研论文，涉及的方程范围很广，有确定性偏微分方程和随机偏微分方程，研究的问题包括适定性、爆破性、渐近性等等。这些论文具有很高的学术价值，对偏微分方程、数学物理、非线性分析、计算数学等方向的科研工作者和研究生，是极好地参考著作。