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| 內容簡介： |
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《郭柏灵论文集第十五卷》收集的是郭柏灵先生发表于2017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
2017年
The Application of Random Matrices in Mathematical Physics 1
Generation Mechanisms of Fundamental Rogue Wave Spatial-Temporal Structure 21
The Euler Equation and Onsager Conjecture 40
Uniform Regularity and Vanishing Viscosity Limit for the Compressible Nematic Liquid Crystal Flows 51
Nonlinear Thermal Instability in the Magnetohydrodynamics Problem without Heat Conductivity 124
Blow-up of the Smooth Solutions to the Compressible Navier-Stokes Equations 175
Low Regularity for the Fifth Order Kadomtsev-Petviashvili-I Type Equation 194
Existence and Uniqueness of the Weak Solution to the Incompressible Navier-Stokes-Landau-Lifshitz Model in 2-Dimension 228
The Global Solution for Quantum Zakharov Equations 244
Decay of Solutions to a Two-layer Quasi-geostrophic Model 262
The Global Solution and Nonlinear Stability for the Coupled CGL-Burgers Equations for Sequential Flames in RN 276
Global Existence and Optimal Convergence Rates of Solutions for 3D Compressible Magneto-micropolar Fluid Equations 310
On an N-Component Camassa-Holm Equation with Peakons 338
Global Weak Solutions to One-Dimensional Compressible Viscous Hydrodynamic Equations 376
Lower Order Regularity for the Generalized Camassa-Holm Equation 392
Blow-up of Solutions to Quantum Hydrodynamic Models in Half Space 409
Existence of the Solution for the Viscous Bipolar Quantum Hydrodynamic Model 426
Sign-Changing Solutions of a p-Laplacian Elliptic Problem with Constraint in RN 464
Global Well-posedness and Decay of Smooth Solutions to the Non-isothermal Model for Compressible Nematic Liquid Crystals 486
Divergent Solution to the Nonlinear Schr dinger Equation with the Combined Power-Type Nonlinearities 537
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