郭柏灵论文集 第6卷PDF电子书下载

2002年 1

Attractors and Dimensions for Discretizations of a Dissipative Zakharov Equations 1

Long-time Behaviour of the Solutions for the Multidimensional Kolmogorov-Spieqel-Sivashinsky Equation 16

Existence and Decay of Weak Solutions to Degenerate Davey-Stewartson Equations 34

The Global Cauchy Problem and Scattering of Solutions for Nonlinear Schr？dinger Equations in Hs 44

The Periodic Initial Value Problem and Initial Value Problem for the Modified Boussinesq Approximation 53

Persistent Homoclinic Orbits for a Perturbed Cubic-Quintic Nonlinear Schr？dinger Equation 66

Truncation Analysis for the Derivative Schr？dinger Equation 92

Partial Regularity of Suitable Weak Solutions to the System of the Incompressible Non-Newtonian Fluids 102

The Time-periodic Solution to a 2D Generalized Ginzburg-Landau Equation 115

2003年 127

广义对称正则长波方程的勒让德和切贝雪夫拟谱方法 127

Analysis of Chebyshev Pseudospectral Method for Multi-dimensional Generalized SRLW Equations 140

Peaked Wave Solutions of CH-r Equation 156

一类非线性卷积拟抛物型积分微分方程整体解的存在性问题 171

The Periodic Initial Value Problem and Initial Value Problem for the Non-Newtonian Boussinesq Approximation 185

Asymptotic Smoothing Effect of Solutions to Weakly Dissipative Klein-Gordon-Schr？dinger Equations 204

Homoclinic Orbit in a Six Dimensional Model of a Perturbed Higher-order NLS Equation 213

Hs-空间中的非线性Schr？dinger方程的散射理论 224

浅水波方程的初边值问题 235

Finite Dimensional Behavior for the Dissipative Generalized Symmetric Regularized Long Wave Equations 246

The Large Time Error Estimates of Fourier Spectral Method for Generalized Benjamin-Bona-Mahony Equations 259

2004年 272

The Invariant Manifolds for a Perturbed Quintic-cubic Schr？dinger Equation 272

Hausdorff Measure of the Singular Set of Landau-Lifshitz Equations with a Nonlocal Term 285

Well-posedness of Cauchy Problems for Korteweg-de Vries-Benjamin-Ono Equation and Hirota Equation 307

The Well-posedness of the Korteweg-de Vries-Benjamin-Ono Equation 315

The Global Well-posedness and Spatial Decay of Solutions for the Derivative Complex Ginzburg-Landau Equation in H1 328

Finite Dimensional Behavior for Forced Nonlinear Sobolev-Galpern Equations 344

Local Well-posedness of Interaction Equations for Short and Long Dispersive Waves 355

Attractor of Dissipative Radially Symmetric Zakharov Equations Outside a Ball 369

Existence and Uniqueness of Global Solution of the Hasegawa-Mima Equation 383

Heisenberg自旋链系统的初边值问题 392

Bifurcation and Chaos in Discrete FitzHugh-Nagumo System 403

Global Smooth Solution of Hydrodynamical Equation for the Heisenberg Paramagnet 426

Smooth Solution to the 1-Dimensional Spin Equations of Antiferromagnets 434

Existence and Stability of Static Solutions of the Landau-Lifshitz Equation with Multi-direct Effective Field 448

The Classical Solutions to a Cauchy Problem of Papabolic Type Coupled with Operators 467

三维复Ginzburg-Landau方程的整体解的存在惟一性 479

Exponential Attractor for the Generalized Burgers-BBM Equation 487

三维全空间上Ginzburg-Landau方程的整体吸引子 495

非线性Sobolev-Galpern方程的近似惯性流形 506

The Time-periodic Solution for a 2D Dissipative Klein-Gordon Equation 518

Existence of the Classical Solution and Almost Periodic Solution for the Camassa-Holm Type Equations 526

Ginzburg-Landau方程的非齐次初边值问题 537

Homoclinic Orbit in a Six-dimensional Model of a Perturbed Higher-order Nonlinear Schr？dinger Equation 545

Existence of Periodic Solutions For 3-D Complex Ginzburg-Landau Equation 555