作者：郭柏灵
页数：412
出版社：科学出版社
出版日期：2023
ISBN：9787030744555
电子书格式：PDF
PDF下载地址
内容简介
郭柏灵论文集第十六卷收集的是郭柏灵先生发表于2018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。
目录
目录
On the Backward Uniqueness of the Stochastic Primitive Equations with Additive Noise 1
Weak Solutions to the Three-dimensional Steady Flow of a Compressible Reactive Mixture 36
A Riemann-Hilbert Approach for a New Type Coupled Nonlinear Schr.dinger Equations 59
Doubly Periodic Vortices for a Chern-Simons Model 79
Some Problems of Nonlinear Partial Differential Equations in Field Theory 105
Soliton Interactions and Modulation Instability for the N-Coupled Complex Short Pulse Equations in an Optical Fiber 122
Semiclassical Limit to the Generalized Nonlinear Schr.dinger Equation 137
The Inviscid Limit in the Cauchy Problem of the Inhomogeneous Incompressible Navier-Stokes Equations 163
Blow-up of the Smooth Solution to the Compressible Nematic Liquid Crystal System 186
The Well-posedness of the Double-diffusive Convection System in a Bounded Domain 204
Long-time Asymptotics for the Kundu-Eckhaus Equation on the Half-line 219
Long-time Asymptotics for the Hirota Equation on the Half-line.247
Optical Rogue Waves for the Coherently Coupled Nonlinear Schr.dinger Equation with Alternate Signs of Nonlinearities 278
Qualitative Analysis of Solution for the Full Compressible Euler Equations in RN 285
Long-time Behavior of Solutions for Full Compressible Quantum Model in R3 319
Ground State Solution for a Class Fractional Hamiltonian Systems 326
On the Propagation of Regularity and Decay of Solutions to the Benjamin Equation 364
On the Backward Uniqueness of the Stochastic Primitive Equations with Additive Noise 1
Weak Solutions to the Three-dimensional Steady Flow of a Compressible Reactive Mixture 36
A Riemann-Hilbert Approach for a New Type Coupled Nonlinear Schr.dinger Equations 59
Doubly Periodic Vortices for a Chern-Simons Model 79
Some Problems of Nonlinear Partial Differential Equations in Field Theory 105
Soliton Interactions and Modulation Instability for the N-Coupled Complex Short Pulse Equations in an Optical Fiber 122
Semiclassical Limit to the Generalized Nonlinear Schr.dinger Equation 137
The Inviscid Limit in the Cauchy Problem of the Inhomogeneous Incompressible Navier-Stokes Equations 163
Blow-up of the Smooth Solution to the Compressible Nematic Liquid Crystal System 186
The Well-posedness of the Double-diffusive Convection System in a Bounded Domain 204
Long-time Asymptotics for the Kundu-Eckhaus Equation on the Half-line 219
Long-time Asymptotics for the Hirota Equation on the Half-line.247
Optical Rogue Waves for the Coherently Coupled Nonlinear Schr.dinger Equation with Alternate Signs of Nonlinearities 278
Qualitative Analysis of Solution for the Full Compressible Euler Equations in RN 285
Long-time Behavior of Solutions for Full Compressible Quantum Model in R3 319
Ground State Solution for a Class Fractional Hamiltonian Systems 326
On the Propagation of Regularity and Decay of Solutions to the Benjamin Equation 364