郭柏灵论文集 第十二卷

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