作者：郭柏灵
页数：632
出版社：科学出版社
出版日期：2021
ISBN：9787030681249
电子书格式：pdf/epub/txt
内容简介
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。该文集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参考阅读。
目录
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
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
