郭柏靈論文集（第六卷）（簡體書）

《郭柏靈論文集(第6卷)》主要內容包括：Landau-Lifshitz方程（又稱鐵磁鏈方程）由于其結構的復雜性，特別是強耦合性和不帶阻尼時的強退化性，在20世紀80年代之前國內外幾乎沒有從數學上進行理論研究的成果出現。最先進行研究的，當屬周毓麟院士和郭老師，他們在1982年到1986年間，采用Leray-Schauder不動點定理、離散方法、Galerkin方法證明了從一維到高維的各種邊值問題整體弱解的存在性，比國外在1992年才出現的同類結果早了將近10年。

2002年
Attractors and Dimensions for Discretizations of a Dissipative Zakharov Equations Long-time Behaviour of the Solutions for the Multidimensional Kolmogorov-Spieqel-Sivashinsky Equation
Existence and Decay of Weak Solutions to Degenerate Davey-Stewartson Equations
The Global Cauchy Problem and Scattering of Solutions for Nonlinear Schr6dinger Equations in if
The Periodic Initial Value Problem and Initial Value Problem for the Modified Boussinesq Approximation
Persistent Homoclinic Orbits for a Perturbed Cubic-Quintic Nonlinear Schr6dinger Equation
Truncation Analysis for the Derivative Schrodinger Equation
Partial Regularity of Suitable Weak Solutions to the System of the Incompressible Non-Newtonian Fluids
The Time-periodic Solution to a 2D Generalized Ginzburg-Landau Equation

2003年
廣義對稱正則長波方程的勒讓德和切貝雪夫擬譜方法
Analysis of Chebyshev Pseudospectral Method for Multi-dimensional Generalized SRLW Equations
Peaked Wave Solutions of CH-r Equation
一類非線性卷積擬拋物型積分微分方程整體解的存在性問題
The Periodic Initial Value Problem and Initial Value Problem for the Non-Newtonian Boussinesq Approximation
Asymptotic Smoothing Effect 0f Solutions to Weakly Dissipative Klein-Gordon-Schr6dinger Equations
Homoclinic Orbit in a Six Dimensional Model of a Perturbed Higher-order NLS Equation
Hs-空間中的非線性Schrodinger方程的散射理論
淺水波方程的初邊值問題
Finite Dimensional Behavior for the Dissipative Generalized Symmetric Regularized Long Wave Equations
The Large Time Error Estimates of Fourier Spectral Method for Generalized Benjamin-Bona-Mahonv Equations

2004年
The Invariant Manifolds for a Perturbed Quintic-cubic Schrodinger Equation
Hausdofff Measure of the Singular Set of Landau-Lifshitz Equations with a Nonlocal Term
Well-posedness of Cauchy Problems for Korteweg-de Vries-Benjamin-Ono Equation and Hirota Equation
The Well-posedness of the Korteweg-de Vries-Benjamin-Ono Equation
The Global Well-posedness and Spatial Decay of Solutions for the Derivative Complex Ginzburg-Landau Equation in H
Finite Dimensional Behavior for Forced Nonlinear Sobolev-Galpern Equations
Local Well-posedness of Interaction Equations for Short and Long Dispersive Waves
Attractor of Dissipative Radially Syrmnetric Zakharov Equations Outside a Ball
Existence and Uniqueness of Global Solution of the Hasegawa-Mima Equation
Heisenberg自旋鏈系統的初邊值問題
Bifurcation and Chaos in Discrete FitzHugh-Nagumo System
Global Smooth Solution of Hydrodynamical Equation for the Heisenberg Paramagnet
Smooth Solution to the 1-Dimensional SDin Equations of Antiferromagnets
Existence and Stability of Static Solutions of the Landau-Lifshitz Equation with Multi-direct Effective Field
The Ctassical Solutions to a Cauchy Problem of Papabolic Type Coupled with Operators
三維復Ginzburg-Landau方程的整體解的存在惟一性
Exponential Attractor for the Generalized Burgers-BBM Equation
三維全空間上Ginzburg-Landau方程的整體吸引子
非線性Sobolev-Galpem方程的近似慣性流形
The Time-periodic Solution for a 2D Dissipative Klein-Gordon Equation
Existence of the Classical Solution and Almost Periodic Solution for the C&l-nassa-Holm Type Equations
Ginzburg-Landau方程的非齊次初邊值問題
Homoclinic Orbit in a Six-dimensional Model of a Perturbed Higher-order Nonlinear Schrodinger Equation
Existence of Periodic Solutions For 3-D Complex Ginzburg-Landau Equation