郭柏靈論文集第十七卷由17篇獨立論文組成，主要包括了郭柏靈院士在2018年發(fā)表的全部論文。郭柏靈論文集包括的主要內(nèi)容有：確定性偏微分方程和隨機偏微分方程，研究的問題包括適定性、爆破性、漸近性、孤立波等等。這些論文具有很高的學術(shù)價值，對偏微分方程、數(shù)學物理、非線性分析、計算數(shù)學等方向的科研工作者和研究生，是極好地參考著作。本書也適合從事偏微分方程、數(shù)學物理、非線性分析、計算數(shù)學等方向的科研工作者和研究生參考閱讀。
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目錄
2019 年 (上)
Long-time Asymptotic Behavior for an Extended Modified Korteweg-de Vries Equation 1
Low Mach Number Limit of Strong Solutions to 3-D Full Navier-Stokes Equations with Dirichlet Boundary Condition 49
Weak and Smooth Solutions to Incompressible Navier-Stokes-Landau-Lifshitz-Maxwell Equations 81
Global Smooth Solution for the Compressible Landau-Lifshitz-Bloch Equation 113
Global Weak Solution to the Quantum Navier-Stokes-Landau-Lifshitz Equations with Density-Dependent Viscosity 126
Analytical Study of the Two-dimensional Time-fractional Navier-Stokes Equations 162
On the Cauchy Problem for the Shallow-Water Model with the Coriolis Effect 191
Unconditional Convergence of Linearized Implicit Finite Difference Method for the 2D/3D Gross-Pitaevskii Equation with Angular Momentum Rotation 238
The Gerdjikov-Ivanov Type Derivative Nonlinear Schr.dinger Equation: Long-time Dynamics of Nonzero Boundary Conditions 265
On the Backward Uniqueness of the Stochastic Primitive Equations with Additive Noise 305
Some Problems in Radiation Transport Fluid Mechanics and Quantum Fluid Mechanics 329
Random Attractor for the 2D Stochastic Nematic Liquid Crystals Flows 347
The Existence of Global Solutions for the Fourth-Order Nonlinear Schr.dinger Equations 386
The Suitable Weak Solution for the Cauchy Problem of the Double-Diffusive Convection System 399
A Riemann-Hilbert Approach for the Modified Short Pulse Equation 424
Exponential Decay of Bénard Convection Problem with Surface Tension 443
Interaction Behavior Associated with a Generalized (2+1)-Dimensional Hirota Bilinear Equation for Nonlinear Waves 468
The Riemann–Hilbert Problem to Coupled Nonlinear Schr.dinger Equation: Long-Time Dynamics on the Half-Line 492
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