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三项方程

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A three- dimensional turbulence model in non-orthogonal curvilinear coordinates is proposed to investigate the impacts of vegetation on channel morphology. The model includes vegetation-induced drag force and vegetation density in the control equations to describe the effects of vegetation on flow structure, and solves sediment continuity equation to compute channel geometry.

本文建立曲线坐标系下的三维湍流模型研究水生植物对河道形态的影响,在水流控制方程中加入植物阻力项和植物密度项来描述水生植物对水动力特性的贡献,通过泥沙质量守恒方程求解河道变形,在适体网格中求解模型的控制方程。

Finally, in the third section, by constructing some functional which similar to the conservation law of evolution equation and the technical estimates, we prove that in the inviscid limit the solution of generalized derivative Ginzburg—Landau equation converges to the solution of derivative nonlinear Schrodinger equation correspondently in one-dimension; The existence of global smooth solution for a class of generalized derivative Ginzburg—Landau equation are proved in two-dimension, in some special case, we prove that the solution of GGL equation converges to the weak solution of derivative nonlinear Schr〓dinger equation; In general case, by using some integral identities of solution for generalized Ginzburg—Landau equations with inhomogeneous boundary condition and the estimates for the L〓 norm on boundary of normal derivative and H〓 norm of solution, we prove the existence of global weak solution of the inhomogeneous boundary value problem for generalized Ginzburg—Landau equations.

第三部分:在一维情形,我们考虑了一类带导数项的Ginzburg—Landau方程,通过构造一些类似于发展方程守恒律的泛函及巧妙的积分估计,证明了当粘性系数趋于零时,Ginzburg—Landau方程的解逼近相应的带导数项的Schr〓dinger方程的解,并给出了最优收敛速度估计;在二维情形,我们证明了一类带导数项的广义Ginzburg—Landau方程整体光滑解的存在性,以及在某种特殊情形下,GL方程的解趋近于相应的带导数项的Schr〓dinger方程的弱解;在一般情形下,我们讨论了一类Ginzburg—Landau方程的非齐次边值问题,通过几个积分恒等式,同时估计解的H〓模及法向导数在边界上的模,证明了整体弱解的存在性。

In this paper, we just consider the initial-boundary value problems of aclass of two-dimensional nonlinear integro-differential equation, simultaneouslyconsidering the damped term and memory termThe details will go as follows. Firstly, the c...

本文同时考虑耗散项和记忆项等因素,讨论了一类具有记忆项的二维非线性积分微分方程的如下初边值问题具体研究内容如下:首先,文章简单介绍了国内外当前对非线性积分微分方程的研究现状;其次,文章给出了一些重要概念和引理,并对部分符号做了说明;第三,利用Galerkin方法证明了问题(1)-(3)的变形问题弱解的存在唯一性;第四,证明了问题(1)-(3)强解的存在性和能量的指数衰减性;第五,进一步证明了问题(1)-(3)经典解的存在性。

In this paper, we just consider the initial-boundary value problems of aclass of two-dimensional nonlinear integro-differential equation, simultaneouslyconsidering the damped term and memory termThe details will go as follows. Firstly, the current st...

本文同时考虑耗散项和记忆项等因素,讨论了一类具有记忆项的二维非线性积分微分方程的如下初边值问题具体研究内容如下:首先,文章简单介绍了国内外当前对非线性积分微分方程的研究现状;其次,文章给出了一些重要概念和引理,并对部分符号做了说明;第三,利用Galerkin方法证明了问题(1)-(3)的变形问题弱解的存在唯一性;第四,证明了问题(1)-(3)强解的存在性和能量的指数衰减性;第五,进一步证明了问题(1)-(3)经典解的存在性。

In the overdose group, three indices of nuclear reactor workers appeared to be obviously higher than that of radiochemical workers. At the same time, three indices were related to accumulated dose and satisfied with straight-regressive equation y=a+blgx.

超剂量组中堆工作业岗位的三项指标均明显高于放化工作业岗位的结果,各项指标随着累积剂量的增高而增高,与剂量之间可拟合Lg直线回归方程。

Its improved form of three terms series including Rubin second-order approximate terms and their exact residual term is then obtained.

采用叠加法和删除保留模态法导出了自由界面精确剩余模态三项和公式,它在Rubin二级近似项上增加了精确余项,导出非线性精确综合方程,构造了具有超收敛性质的迭代求解方程。

Secondly, based on the different structure characteristics and additional conditions, we study several kinds of inverse problems of pseudoparabolic equations. One is a kind of pseudoparabolic inverse problem of identifying a constant coefficient solved by combining the formal solution of the problem and the additional condition properly. The second is the pseudoparabolic inverse problems of identifying an unknown boundary function and an unknown source term solved by using the Riemann function method to get the formal solution of the problem and then using the additional condition to transform the problem into a Volterra integral equation of the second kind. The third is a kind of backward heat flow problem of nonlinear pseudoparabolic equation solved by combining the Riemann function method and the fixed point theory properly.

其次,根据不同模型的结构特点和附加条件,研究了几类伪抛物型方程的反问题:一是利用问题的形式解并结合附加条件,解决了一类伪抛物型方程常数系数的反问题;二是利用Riemann函数方法获得问题的形式解,利用附加条件将问题转化成求解第二类Volterra积分方程问题,解决了一类伪抛物型方程未知边界值的反问题和未知源项的反问题;三是将Riemann函数方法和不动点定理相结合,解决了一类非线性伪抛物型方程的后向热流问题。

The application of this method in data processing for the abnormally highpressure gas well Xi351 in the Sichuan basin is proved to be with high accuracy in trinomial deliverability equation.

将该方法应用于四川盆地西35-1异常高压气井试井资料的整理,所获得的气井三项式产能方程精度高。

The trinomial deliverability equation can be determined based on the data of bottomhole flow pressure and gas production by using the rate multipleregression, and the open flow capacity and static formation pressure can also be derived.

为此,提出了一种精度高且计算简便的方法,不需要已知地层静压,只通过井底流压与产气量数据,利用多元线性回归方法,既可确定气井三项式产能方程,还可求得气井绝对无阻流量和地层静压。

Results: The trinomial fitting equations of indexes were all superior to their multi-linear regression equations, and the predictive values in the established mathematical model were in good conformity with the experimental values.

结果:各指标的三项式拟合方程均优于多元线形回归方程,建立的数学模型的预测值与实际值符合较好。

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