|
|
|
题名
|
作者
|
年代
|
出处
|
被引量
|
| 1 | On the Cauchy problem of generalized complex Ginzburg-Landau equation in three dimensions显示文摘The generlized complex Ginzburg-Landau equation (CGL) under periodic boundary condition is studied. The existence of global solution for this equation is established under appropriate assumption on a nonlinear σ, which rigorously establishes the foundation for further investigation of this type of model. | LIDonglong GUOBoling | 2003 | Progress in Natural Science:Materials International2003，13，9： | 5 |
| 2 | EXPONENTIAL ATTRACTOR FOR A CLASS OF NONCLASSICAL DIFFUSION EQUATION显示文摘In this paper, we consider the asymptotic behavior of solutions for a class of nonclassical diffusion equation. We show the squeezing property and the existence of exponential attractor for this equation. We also make the estimates on its fractal dimension and exponential attraction. | ShangYadong GuoBoling | 2003 | Journal of Partial Differential Equations2003，16，4： | 4 |
| 3 | THE PERIODIC INITIAL VALUE PROBLEM AND INITIAL VALUE PROBLEM FOR THE MODIFIED BOUSSINEDSA APPROXIMATION显示文摘The Boussinesq approximation ,where the viscosity depends polynomially on the shear rate ,finds more and more frequent use in geological practice,In this paper ,we consider the periodic initial value problem and inital value problem for this modified Boussinesq approximation with the viscous part of the stress tensor T^v=τ(e)-μ1△e,where the nonlinear function τ(e) satisfies τij(e)eij≥C|e|^p or τij(e)eij ≥C(|e|^2+|e|^p).The existence,uniqueness and regulartiy of the weak solution is proved for p> 2n/(n+2). | GuoBoling ShangYadong | 2002 | Journal of Partial Differential Equations2002，15，2： | 4 |
| 4 | Homoclinic orbits of the doubly periodic Davey-Stewartson equation显示文摘Chaos is closely associated with homoclinic orbits in deterministic nonlinear dynamics. In this note, the homoclinic orbits of the doubly periodic Davey-Stewartson equation are obtained by using the Hirota’s bilinear methods, which is important to the study on the global property of the doubly periodic Davey-Stewartson equation. | ZHANGJun GUOBoling SHENShoufeng | 2004 | Progress in Natural Science:Materials International2004，14，11： | 2 |
| 5 | PERSISTENT HOMOCLINIC ORBITS FOR A PERTURBED CUBIC-QUINTIC NONLINEAR SCHROEDINGER EQUATION显示文摘In this paper ,the existence of homoclinic orbits,for a perturbed cubic-quintic nonlinear Schroedinger equation with even periodic boundary conditions ,under the geralized parameters conditions is established.More specifically,we combine geometric singular perturbation theory,with ,Melnikov analysis and integrable theory to prove the persistences of homoclinic orbits. | GuoBoling ChenHanlin | 2002 | Journal of Partial Differential Equations2002，15，2： | 2 |
| 6 | FINITE DIMENSIONAL BEHAVIOR FOR THE DISSIPATIVE GENERALIZED SYMMETRIC REGULARIZED LONG WAVE EQUATIONS显示文摘This paper deals with the asymptotic behaviour of solutions for the generalized symmetric regularized long wave equations with dissipation term. We first show the existence of global weak attractors for the periodic initial value problem of this equations in H^2 × H^1. And then by an energy equation and an idea of Ghidaglia and Guo, we conclude that the global weak attractor is actually the global strong attractor for S(t) in H^2(Ω) × H^1 (Ω).The finite dimensionality of the global attractor is also established. | SHANGYadong GUOBoling | 2003 | Journal of Systems Science & Complexity2003，16，2： | 1 |
| 7 | INITIAL-BOUNDARY VALUE PROBLEM FOR THE UNSATURATED LANDAU-LIFSHITZ SYSTEM显示文摘The existence, partial regularity and uniqueness of weak solution to the initial boundary value problem for the unsaturated Landau-Lifschitz systems are given. | DINGSHIJIN GUOBOLING | 2000 | Chinese Annals of Mathematics,Series B2000，21，3： | 1 |
| 8 | THE CLASSICAL SOLUTIONS TO A CAUCHY PROBLEM OF PARABOLIC TYPE COUPLED WITH OPERATORS显示文摘We consider the equation ut=Tf[B(x,t,Du,Φu)D^2u]+F(x,t,u,Du,Φu,Ψu) where Φand Ψ are vector-valued mappings.We obtain the existence anduniqueness of classical solution to the equation for a ε-periodic initial data.The problem is naturally arisen from image denoising. | KongLinghai GuoBoling | 2004 | Journal of Partial Differential Equations2004，17，4： | 1 |
| 9 | Analysis on the Status and Development of the Sheep Industry in China[J]显示文摘 | WANGZhaodan(王兆丹) WEIYimin(魏益民) GUOBoll(郭波莉) etal | 2009 | 中国畜牧杂志2009，，10： | 1 |
| 10 | LOCAL WELL-POSEDNESS OF INTERACTION EQUATIONS FOR SHORT AND LONG DISPERSIVE WAVES显示文摘The well-posedness of the Cauchy problem for the system{iδtu+δx^2u=uv+|u|^2u,t,x∈IR,δtv+δxHδxv=δx|u|^2,u(0,x)=u0(x),v(0,x)=v0(x),is considered. It is proved that there exists a unique local solution (u(x,t), v(x,t))∈C([0,T);H^s)×C([0,T);Hs^-1/2) for any initial data (u0,v0)∈H^s(IR)×H^s-1/2(IR)(s≥1/4) and the solution depends continuously on the initial data. | HuoZhaohui GuoBoling | 2004 | Journal of Partial Differential Equations2004，17，2： | 1 |
| 11 | LONG-TIME UNIFORM STABILITY OF SOLUTION TO MAGNETOHYDRODYNAMICS EQUATION显示文摘§1IntroductionandMainResultsWestudythelong-timeuniformstabilityofsolutionstotheinitialvalueproblemsfor2-dimensionalMagnetohyd... | GuoBoling ZhangLinghai HuangHaiyang | 1999 | Applied Mathematics(A Journal of Chinese Universities)1999，14，1： | 0 |
| 12 | HOMOCLINIC ORBIT IN A SIX DIMENSIONAL MODEL OF A PERTURBED HIGHER-ORDER NLS EQUATION显示文摘In this paper,the perturbed higher-order NLS equation with periodic boundary condition is considered. The existence of the homoclinic orbits for the truncation equation is established by Melnikov analysis and geometric singular perturbation theory. | GuoBoling ChenHanlin | 2003 | Journal of Partial Differential Equations2003，16，1： | 0 |
| 13 | THE LARGE TIME ERROR ESTIMATES OF FOURIER SPECTRAL METHOD FOR GENERALIZED BENJAMIN-BONA-MAHONY EQUATIONS显示文摘In this paper, a spectral method to analyze the generalized Benjamin Bona Mahony equations is used. The existence and uniqueness of global smooth solution of these equations are proved. The large time error estimation between the spectral approximate solution and the exact solution is obtained. | ShangYadong GuoBoling | 2003 | Applied Mathematics(A Journal of Chinese Universities)2003，18，1： | 0 |
| 14 | EXPONENTIAL ATTRACTOR FOR COMPLEX GINZBURG—LANDAU EQUATION IN THREE—DIMENSIONS显示文摘In this paper,we consider the complex Ginzburg-Landau equation (CGL) in three spatial dimensions ut=ρu+(1+iγ)△u-1+iμ—|u|^2σu,(1) u(0,x)=u0(x),(2) where u is an unknown complex-value function defined in 3+1 dimensional space-time R^3+1,△ is a Laplacian in R^3,ρ>0,γ,μ are real parameters,Ω∈R^3 is a bounded domain,We show that the semigroup S(t) associated with the problem(1),(2) satisfies Lipschitz continuity and the squeezing property for the initial-value problem(1),(2) with the initial-value condition belonging to H^2(Ω),therefore we obtain the existence of exponential attractor. | GuoBoling LiDonglong | 2003 | Journal of Partial Differential Equations2003，16，2： | 0 |
| 15 | BUBBLES OF LANDAU-LIFSHITZ EQUATIONS WITH APPLIED FIELDS显示文摘In this paper, we discuss the Landau-Lifshitz equations with applied magnetic fields. The equations describing the bubbles in the ferromagnets and the behaviors of the solutions near the singularities are given. We found that the applied fields do not affect the bubbles and we have the same conclusions as in reference [1]. | DingShijin GuoBoling | 2005 | Journal of Partial Differential Equations2005，18，1： | 0 |
| 16 | Well-posedness of Cauchy problems for Korteweg-de Vries-Benjamin-Ono equation and Hirota equation显示文摘The well-posedness of the Cauchy problems to the Korteweg-de Vries-Benjamin-Ono equation and Hirota equation is considered. For the Korteweg-de Vries-Benjamin-Ono equation,local result is established for data in H s(R)s≥-18 . Moreover,the global well-posedness for data in L 2(R) can be obtained. For Hirota equation,local result is established for initial data in H ss≥14 . In addition,the local solution is proved to be global in H s(s≥1) if the initial data are in H s(s≥1) by energy inequality and the generalization of the trilinear estimates associated with the Fourier restriction norm method. | HUOZhaohui GUOBoling | 2004 | Progress in Natural Science:Materials International2004，14，6： | 0 |
| 17 | EXISTENCE OF PERIODIC SOLUTIONS FOR 3-D COMPLEX GINZBERG-LANDAU EQUATION显示文摘In this paper, the authors consider complex Ginzburg-Landau equation(CGL) in three spatial dimensions ut=ρu+(1+iγ)△u-(1+iμ)|u|^2σu+f,where u is an unknown complex-value function defined in 3+ 1 dimensional space-time R^3+1,△ is a Laplacian in R^3, ρ > 0, γ μ are real parameters, Ω∈R^3 is a bounded domain. By using the method of Galeerkin and Faedo-Schauder fix point theorem we prove the existence of approximate solution uN of the problem. By establishing the uniform boundedness of the norm ||uN|| and the standard compactness arguments, the convergence of the approximate solutions is considered. Moreover, the existence of the periodic solution is obtained. | LiDonglong GuoBoling | 2004 | Journal of Partial Differential Equations2004，17，1： | 0 |
| 18 | Existence of the classical solution and almost periodic solution for the Camassa-Holm type equations显示文摘Using Banaeh fixed point theorem and a priori estimate, the existence of periodic and almost periodic solutions of Camassa-Holm type equation with a nonlinear boundary condition are respectively proved when g( x, t ) is periodic or almost periodic function of time t. | YANGLing'e GUOBoling | 2004 | Progress in Natural Science:Materials International2004，14，4： | 0 |
您所在的机构暂未开通此部分的功能，请联系管理员