内容推荐 郭柏灵论文集第十六卷收集的是郭柏灵先生发表于2018年度的主要科研论文,涉及的方程范围宽广,有确定性偏微分方程和随机偏微分方程,研究的问题包括适定性、爆破性、渐近性、孤立波等等。这些论文具有很高的学术价值,对偏微分方程、数学物理、非线性分析、计算数学等方向的科研工作者和研究生,是极好地参考著作。 本书适合从事偏微分方程、数学物理、非线性分析、计算数学等方向的科研工作者和研究生参考阅读。 目录 2018年 On the Backward Uniqueness of the Stochastic Primitive Equations with Additive Noise Weak Solutions to the Three-dimensional Steady Flow of a Compressible Reactive Mixture A Riemann-Hilbert Approach for a New Type Coupled Nonlinear Schr.dinger Equations Doubly Periodic Vortices for a Chern-Simons Model Some Problems of Nonlinear Partial Differential Equations in Field Theory Soliton Interactions and Modulation Instability for the N-Coupled Complex Short Pulse Equations in an Optical Fiber Semiclassical Limit to the Generalized Nonlinear Schr.dinger Equation The Inviscid Limit in the Cauchy Problem of the Inhomogeneous Incompressible Navier-Stokes Equations Blow-up of the Smooth Solution to the Compressible Nematic Liquid Crystal System The Well-posedness of the Double-diffusive Convection System in a Bounded Domain Long-time Asymptotics for the Kundu-Eckhaus Equation on the Half-line Long-time Asymptotics for the Hirota Equation on the Half-line Optical Rogue Waves for the Coherently Coupled Nonlinear Schr.dinger Equation with Alternate Signs of Nonlinearities Qualitative Analysis of Solution for the Full Compressible Euler Equations in RN Long-time Behavior of Solutions for Full Compressible Quantum Model in R Ground State Solution for a Class Fractional Hamiltonian Systems On the Propagation of Regularity and Decay of Solutions to the Benjamin Equation |