目录 On the Backward Uniqueness of the Stochastic Primitive Equations with Additive Noise 1 Weak Solutions to the Three-dimensional Steady Flow of a Compressible Reactive Mixture 36 A Riemann-Hilbert Approach for a New Type Coupled Nonlinear Schr.dinger Equations 59 Doubly Periodic Vortices for a Chern-Simons Model 79 Some Problems of Nonlinear Partial Differential Equations in Field Theory 105 Soliton Interactions and Modulation Instability for the N-Coupled Complex Short Pulse Equations in an Optical Fiber 122 Semiclassical Limit to the Generalized Nonlinear Schr.dinger Equation 137 The Inviscid Limit in the Cauchy Problem of the Inhomogeneous Incompressible Navier-Stokes Equations 163 Blow-up of the Smooth Solution to the Compressible Nematic Liquid Crystal System 186 The Well-posedness of the Double-diffusive Convection System in a Bounded Domain 204 Long-time Asymptotics for the Kundu-Eckhaus Equation on the Half-line 219 Long-time Asymptotics for the Hirota Equation on the Half-line.247 Optical Rogue Waves for the Coherently Coupled Nonlinear Schr.dinger Equation with Alternate Signs of Nonlinearities 278 Qualitative Analysis of Solution for the Full Compressible Euler Equations in RN 285 Long-time Behavior of Solutions for Full Compressible Quantum Model in R3 319 Ground State Solution for a Class Fractional Hamiltonian Systems 326 On the Propagation of Regularity and Decay of Solutions to the Benjamin Equation 364