Contents Global Existence of Solution for Thermally Radiative Magnetohydrodynamic Equations with the Displacement Current 1 Ergodicity of Stochastic Burgers' System with Dissipative Term 25 Well-posedness and Dynamics for the Fractional Ginzburg-Landau Equation 69 Global Well-posedness and the Classical Limit of the Solution for the Quantum Zakharov System 89 Well-posedness for the Nonlinear Fractional Schr odinger Equation and Inviscid Limit Behavior of Solution for the Fractional Ginzburg-Landau Equation 111 Well-posedness for the Fractional Landau-Lifshitz Equation without Gilbert Damping 128 Some Blowup Solutions about Two Systems Derived from Landau-Lifshitz-Gilbert Equation 154 On the Cauchy Problem for the Magnetic Zakharov System 175 Optimal Convergence Rates for the Three-Dimensional Turbulent Flow Equations 197 Parameter Identification in Fractional Di erential Equations 218 Traveling Wave Solutions of the Green-Naghdi System 231 Cauchy Problem for the Zakharov System Arising from Hot Plasma with Low Regularity Data 243 Asymptotic Behavior of Stochastic Dissipative Quantum Zakharov Equations 265 Global Existence and Convergence Rates of Smooth Solutions for the Full Compressible MHD Equations 297 Stochastic Wave Equations with Nonlinear Damping and Source Terms 322 Fourth-Order Compact and Energy Conservative Di erence Schemes for the Nonlinear Schr odinger Equation in Two Dimensions 352 Persistence Properties and Infinite Propagation for the Modified 2-Component Camassa-Holm Equation 385 Existence Uniqueness and Decay of Solution for Fractional Boussinesq Approximation 403 Well-posedness in Critical Spaces for the Full Compressible MHD Equations 427 Blowup Rate of Isotropic Anti-Ferromagnetic Equation Near the Equivariant Data 459 The Quasi-Reversibility Method to Solve the Cauchy Problems for Parabolic Equations 484 Asymptotic Behavior of Non-Autonomous Stochastic Parabolic Equations with Nonlinear Laplacian Principal Part 498 Global Existence and Large Time Behavior of Solutions to the Electric-Magneto-Hydro-Dynamic Equations 529 Blow-up and Nonlinear Instability for the Magnetic Zakharov System 559 Notes on Homoclinic Solutions for the Steady Swift-Hohenberg Equation 589 Well-posedness for the Compressible Rayleigh-B enard Convection 595 Darboux Transformation and Novel Solutions for the Long Wave-Short Wave Model 609 High-Order Solutions and Generalized Darboux Transformations of Derivative Nonlinear Schr odinger Equations 627