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2011年 1

Diffusion Limit of Small Mean Free Path of Transfer Equation in R3 1

Compressible Limit of the Nonlinear Schr？dinger Equation with Different-degree Small Parameter Nonlinearities 26

Some Traveling Wave Solitons of the Green-Naghdi System 44

Travelling Wave Solutions of a Generalized Camassa-Holm-Degasperis-Procesi Equation 57

Dynamics of Stochastic Klein-Gordon-Schr？dinger Equations in Unbounded Domains 79

Random Attractors for a Stochastic Hydrodynamical Equation in Heisenberg Paramagnet 103

Regularity of the Attractor for 3-D Complex Ginzburg-Landau Equation 115

Sharp Constant of an Improved Gagliardo-Nirenberg Inequality and Its Application 129

Blow-up Solutions to a Viscoelastic Fluid System and a Coupled Navier-Stokes/Phase-field System in R2 143

Convergence of a Nonlinear Finite Difference Scheme for the Kuramoto-Tsuzuki Equation 149

Orbital Stability of Solitary Waves for the Compound KdV Equation 159

Existence of the Universal Attractor for the 3-D Viscous Primitive Equations of Large-scale Moist Atmosphere 177

Optimal Lower Bound Estimates for the Blow-up Rate for the Zakharov System in a Nonhomogeneous Medium 208

Well-posedness of the Cauchy Problem for the Magnetic Zakharov Type System 231

The Fractional Landau-Lifshitz-Gilbert Equation and the Heat Flow of Harmonic Maps 254

Smooth Solutions for a Stochastic Hydrodynamical Equation in Heisenberg Paramagnet 272

Analysis of Some Finite Difference Schemes for Two-dimensional Ginzburg-Landau Equation 286

Global Well-posedness of the Stochastic 2D Boussinesq Equations with Partial Viscosity 307

Classical Solutions of Time-dependent Ginzburg-Landau Theory for Atomic Fermi Gases Near the BCS-BEC Crossover 324

Momentum Estimates and Ergodicity for the 3D Stochastic Cubic Ginzburg-Landau Equation with Degenerate Noise 337

Blow-up Phenomena of the Vector Nonlinear Schr？dinger Equations with Magnetic Fields 363

Existence of Weak Solution for Quantum Zakharov Equations for Plasmas Model 377

Global Strong Solutions of a Simplified Two-fluid Model in Plasma 384

Virial Type Blow-up Solutions for the Zakharov System with Magnetic Field in a Cold Plasma 402

Rogue Wave,Breathers and Bright-dark-rogue Solutions for the Coupled Schr？dinger Equations 419

Low Mach Number Limit of the Compressible Magnetohydrodynamic Equations with Zero Thermal Conductivity Coefficient 426

Random Attractor for a Stochastic Hydrodynamical Equation in Heisenberg Paramagnet on an Unbounded Domain 436

Vanishing Viscosity Limit for a Coupled Navier-Stokes/Allen-Cahn System 451

一维非线性Schr？dinger方程的两个无条件收敛的守恒紧致差分格式 469

非线性Schr？dinger方程（Ⅰ）：Bose-Einstein凝聚和怪波现象 496