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