郭柏灵论文集:第十三卷:Volume 13

Contents 2014年 H2-regularity Random Attractors of Stochastic Non-Newtonian Fluids with Multiplicative Noise .1 Global Existence of Smooth Solutions to the Model Equations for Turbulent Flows 17 Global Random Attractors for the Stochastic Dissipative Zakharov Equations 35 Global Smooth Solutions of the Generalized KS-CGL Equations for Flames Governed by a Sequential Reaction 57 Blow-up of Smooth Solutions to the Isentropic Compressible MHD Equations 80 Random Attractors of Stochastic Non-Newtonian Fluids on Unbounded Domain 90 Long Time Behavior of Solutions to Coupled Burgers-Complex Ginzburg-Landau (Burgers-CGL) Equations for Flames Governed by Sequential Reaction 103 High-order Rogue Waves in a Vector Nonlinear Schr.odinger Equations 129 Schr.odinger Limit of Weakly Dissipative Stochastic Klein-Gordon-Schr.odinger Equations and Large Deviations 142 Global Well-posedness for the Fractional Schr.odinger-Boussinesq System 172 The Stability of Stochastic Generalized Porous Media Equations with General Levy Noise 187 The Exponential Decay of Solutions and Traveling Wave Solutions for a Modiled Camassa-Holm Equation with Cubic Nonlinearity 204 Global Smooth Solutions for the Zakharov System with Quantum E.ects in Two Space Dimensions 227 Ergodicity of the Stochastic Fractional Reaction-Di.usion Equation 251 Existence of Generalized Heteroclinic Solutions of the Coupled Schr.odinger System under a Small Perturbation 288 On the Equations of Thermally Radiative Magnetohydrody namics 308 大气、海洋动力学中一些非线性偏微分方程的研究 359 连串反应中控制火焰的耦合 GKS-CGL 方程组解的极限行为 3762015 年 A Class of Stable and Conservative Finite Di.erence Schemes for the Cahn-Hilliard Equation 403 Di.usion Limit of 3D Primitive Equations of the Large-scale Ocean under Fast Oscillating Random Force 425 Existence of Topological Vortices in an Abelian Chern-Simons Model 446 Radiative Transfer in Two Adjoining Media: The Continuity of Thermal Flux and the Existence and Uniqueness of Solutions 461 Darboux Transformation and Multi-dark Soliton for N-component Nonlinear Schr.odinger Equations 505 The Cauchy Problem of the Modiled CH and DP Equations 528 Stochastic Korteweg-de Vries Equation Driven by Fractional Brownian Motion 556 Global Strong Spherically Symmetric Solutions to the Full Compressible Navier-Stokes Equations with Stress Free Boundary 580 Solutions of Ginzburg-Landau Theory for Atomic Fermi Gases near the BCS-BEC Crossover 613 Orbital Instability of Standing Waves for the Generalized 3D Nonlocal Nonlinear Schr.odinger Equations 628 Existence of the Global Smooth Solution to a Fractional Nonlinear Schr.odinger System in Atomic Bose-Einstein Condensates 661 Di.usion Limit of 3D Primitive Equations of the Large-scale Ocean under Fast Oscillating Random Force 680 Uniqueness of Weak Solutions to the 3D Ginzburg-Landau Superconductivity Model 701 High-Order Soliton Solution of Landau-Lifshitz Equation 709 Random Attractor and Stationary Measure for Stochastic Long-short Wave Equations 744 Global Well-Posedness of Stochastic Burgers Systerm 766