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| 內容簡介： |
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郭柏灵论文集第十四卷收集的是郭柏灵先生发表于2016年度的主要科研论文，涉及的方程范围宽广，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、孤立波等.
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| 目錄：
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目录 2016年 Well-posedness for the Three-dimensional Compressible Liquid Crystal Flows 1 Optimal Decay Rate of the Compressible Quantum Navier-Stokes Equations 34 Mixed-type Soliton Solutions for the N-coupled Higher-order Nonlinear Schrodinger Equations in Optical Fibers 47 Global Finite Energy Weak Solution to the Viscous Quantum Navier-Stokes-Landau-Lifshitz-Maxwell Model in 2-dimension 59 Global Existence and Long-time Behavior for the Strong Solutions in H2 to the 3D Compressible Nematic Liquid Crystal Flows 84 Global Smooth Solution to a Coupled Schrodinger System in Atomic Bose-Einstein Condensates with Two Dimensional Spaces 113 Vanishing Viscosity Limit for the 3D Magnetohydrodynamic System with Generalized Navier-slip Boundary Conditions 132 Bright-dark Vector Soliton Solutions for the Coupled Complex Short Pulse Equations in Nonlinear Optics 148 Global Existence of Smooth Solutions for the Magnetic Schrodinger Equation Arising from Hot Plasma 160 Approximate Solution of Bagley-Torvik Equations with Variable Coefficients and Three-point Boundary-value Conditions 192 Blow-up of Smooth Solution to Quantum Hydrodynamic Models in Rd 217 Existence and Uniqueness of Global Solutions of the Modified KS-CG Equations for Flames Governed by A Sequential Reaction 248 On the Global Well-posedness of the Fractional Klein-Gordon-Schrodinger System with Rough Initial Data 271 Global Existence and Semiclassical Limit for Quantum Hydrodynamic Equations with Viscosity and Heat Conduction 302 Dynamics for a Generalized Incompressible Navier-Stokes Equations in R2 336 Globally Smooth Solution and Blow-up Phenomenon for a Nonlinearly Coupled Schrodinger System Atomic Bose-Einstein Condensates 370 High-order Rogue Wave Solutions for the Coupled Nonlinear Schrodinger Equations-II 392 A Second-order Finite Dierence Method for Two-dimensional Fractional Percolation Equations 413 Classical Solutions of General Ginzburg-Landau Equations 440 Implicit Finite Dierence Method for Fractional Percolation Equation with Dirichlet and Fractional Boundary Conditions 461 Coupling Model for Unsteady MHD Flow of Generalized Maxwell Fluid with Radiation Thermal Transform 479 Global Well-posedness for the Periodic Novikov Equation with Cubic Nonlinearity 500 Quasineutral Limit of the Pressureless Euler-Poisson Equation for Ions 525 Well-posedness and Blow-up Scenario for a New Integrable Four-component System with Peakon Solutions 561 Darboux Transformation and Classification of Solution for Mixed Coupled Nonlinear Schrodinger Equations 588
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