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In this paper,Burgers model is employed for the analysis of the dynamic experimentalresults of bituminous mixtures.

本文将Burgers模型作为沥青混合料的粘弹性本构模型,提出了一种根据动态试验结果确定Burgers参数的方法。

First of all,we construct a semidiscrete finite difference scheme to Burgers equation with initial condition and Dirichret boundary conditions.

首先,对Burgers方程的初边值问题建立了一个半离散的有限差分格式。

The series-wound dashpot of the Burgers model is modified by introducing the strain hardening parameter, and the new model is considered as a combination of the modified dashpot and the Van Der Poel model.

通过引入应变硬化变量,对Burgers模型中串联粘壶进行了改进,并将改进模型看成是由Van Der Poel模型与改进粘壶串联组成。

In order to illustrate the exponential function and the homogeneous balance method effectiveness, were cited in this (2 +1)-dimensional Burgers equation and the promotion of the Burgers-Kdv equation for example, comparing the pros and cons of the two methods.

为了说明指数函数法和齐次平衡法的有效性,在此分别引用(2+1)维推广的 Burgers 方程和Burgers-Kdv方程举例说明,对比此两种方法的利与弊。

The results show that the one dimensional model equation is compatible with Burgersequation and can be used to describe a flow in which large scale motion and small scale mo-tion exist simultaneously,the computation is convergent,the solutions have the same na-ture of that of Burgers equation but contain more informations.

一维模型的计算表明,求解是收敛的,模型方程与Burgers方程相容,解的性质与Burgers方程解的性质是一致的,但包括更丰富的信息。

Chapter 6, consider a coupled generalized KdV-Burgers equation. In section 6.2, we study the initial-boundary value problem in the semi-unbounded domain, the existence of global solutions and global attractors is proved by means of a uniform priori estimate for time. In section 6.3, the Cauchy problem by using the weighted space, the existence of the global attractors for a coupled generalized KdV-Burgers in an semi-unbounded domain is proved.

第六章,考虑了一类广义耦合的KdV-Burgers方程,在第二节中讨论了半无界区域上的初边值问题,证明了整体光滑解和整体吸引子的存在性;在第三节中讨论了Cauchy问题,利用加权函数和加权空间上的插值8不等式,证明了半无界区域上整体吸引子的存在性。

Such simplified 1-D Burgers model is extended to 3-D case as the usual treatment like 3-D Hooke's law. Based on the above assumptions, the downward and upward plastic deformations of asphalt pavements have been calculated.

利用刚塑性假定简化一维Burgers模型,从而简化了沥青路面的永久变形计算,据此假定将一维的沥青混合料Burgers模型推广至三维Burgers模型,类似于三维虎克定律。

The rigid-plastic assumption simplifies the 1-D Burgers model and thus simplifies the calculation of plastic deformation.Such simplified 1-D Burgers model is extended to 3-D case as the usual treatment like 3-D Hooke's law.

利用刚塑性假定简化一维Burgers模型,从而简化了沥青路面的永久变形计算,据此假定将一维的沥青混合料Burgers模型推广至三维Burgers模型,类似于三维虎克定律。

An inhomogeneous Benjamin-Davis-Ono-Burgers equation including topographic forcing and turbulent dissipation is derived in terms of the quasi-geostrophic vorticity equation, an approximate analytic solution of the BDO-Burgers equation with a small dissipation is obtained, the time variations of mass and energy of the algebraic solitary waves are discussed, and finally, the forced BDO-Burgers equation is integrated numerically and the numerical solutions are given for a given basic flow with a weak shear and a localized topographic forcing.

利用包括地形外源和湍流耗散的准地转涡度方程导出了包含强迫项和湍流耗散项的非齐次强迫BDO-Burgers方程,求出了小耗散存在情况下BDO-Burgers方程的近似解析解,讨论了代数孤立波的质量和能量的守恒关系,最后,对给定的弱切变基本气流和局地地形强迫,数值积分强迫BDO-Burgers方程,求得了不同参数下的数值解。

Chapter 5 and 6 are concentrated on the fundamental problem how to con-struct finite-dimensional and infinite-dimensional Liouville integrable Hamiltonsystem.Starting from two isospectral problems,Tu's scheme is applied to gen-erate the corresponding CKdV hierarohy and coupled Burgers hievachy,andthey are shown to be Liouville integrable Hamilton systems.Two spectral prob-lems,which contain three and four potentials respectively,are also studied byTu's scheme.Two new Liouville integrable Hamilton hierarchy are estab-lished.A new general approach using Lenard's gradient sequence is presentedto obtain Lax integrable hierarchy and their zero curvature representation,andsome examples are given.The nonlinearization procedure is applied to theeigenvalue problem of coupled Burgerrs hierarchy.It is shown that underBargmann constraint,the spatial part of the Lax pairs is nonlimearized to be afinite-dimensional Liouville completeiy integrable Hamilton system.

第五、六章研究如何从一个谱问题出发构造可积发展方程族及其零曲率表示、Hamilton结构和判断Liouville可积性:通过对二类具有2个位势的等谱问题直接研究,利用屠格式生成了耦合KdV族和耦合Burgers族,并证明它们均为Liouville可积的广义Hamilton方程族;而通过分别具有3个和4个位势的等谱问题,遵循屠格式构造了二族新的Liouville可积的广义Hamilton方程族;给出了利用Lenard梯度递推序列产生发展方程族及其零曲率表示的一种方法,作为应用,讨论了CKdV族,BPT族及耦合Burgers族的产生及其零曲率表示;应用非线性化技巧,证明了在Bargmann约束下,耦合Burgers族的Lax组可被线性化为Liou-ville完全可积的Hamilton系统。

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推荐网络例句

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在对危险的南部地区访问时,他斥责什叶派民兵领导人对中央集权的挑衅行为。

In fact,I've got him on the satellite mobile right now.

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世纪伟人邓小平的富民思想,是邓小平经济理论体系中的重要组成部分,是我国经济建设根本任务的一个重要方面。