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边界条件

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The concept of boundary condition coefficients is put forward and the influence factors for boundary conditions of short suspenders are determined.

提出了边界条件系数的概念,通过参数分析确定了影响边界条件系数的主要因素。

Adding boundary conditions in whole equations in the wavelet Galerkin method frequently does with its of differential equations. The result can derive by solving transcendental equation, which make unknow quantity number and the number of system of equation become nonuniformity.

经常采用的小波Galerkin方法对微分方程边界条件的处理,均是将边界条件作为附加方程补充到整体方程中,从而求解超越方程组得到原方程的解,这导致了求解过程出现的方程组个数与未知量个数不一致。

In this paper,Standing-Traveling Wave Boundary Condition is developed to truncate the computational domain without reflection.

本文提出了一种新的边界条件:驻波-行波边界条件

In this project, we study the theory of higher order differential equations in Banach spaces and related topics. We solve an open problem put forward by two American Mathematicians and two Italian Mathematicians concerning wave equations with generalized Weztzell boundary conditions, introduce an existence family of operators from a Banach space $Y$ to $X$ for the Cauchy problem for higher order differential equations in a Banach space $X$, establish a sufficient and necessary condition ensuring $ACP_n$ possesses an exponentially bounded existence family, as well as some basic results in a quite general setting about the existence and continuous dependence on initial data of the solutions of $ACP_n$ and $IACP_n$. We set up quite a few multiplicative and additive perturbation theorems for existence families governing a wide class of higher order differential equations, regularized cosine operator families, regularized semigroups, and solution operators of Volterra integral equations, obtain classical and strict solutions having optimal regularity for the inhomogeneous nonautonomous heat equations with generalized Wentzell boundary conditions, gain novel existence and uniqueness theorems,which extend essentially the existing results, for mild and classical solutions of nonlocal Cauchy problems for semilinear evolution equations, present a new theorem with regard to the boundary feedback stabilization of a hybrid system composed of a viscoelastic thin plate with one part of its edge clamped and the rest-free part attached to a visocelastic rigid body. Also we obtain many other research results.

在本研究中,我们对Banach空间中的高阶算子微分方程的理论以及相关理论进行了深入研究,解决了由美国和意大利的四位数学家联合提出的一个关于广义Wentzell边界条件下的波动方程适定性的公开问题,恰当地定义了Banach空间中的高阶算子微分方程Cauchy问题的算子存在族及唯一族,建立了齐次和非齐次高阶算子微分方程Cauchy问题适定性的判别定理,获得了关于高阶退化算子微分方程的算子存在族、正则余弦算子族、正则算子半群、Volterra积分方程解算子族的乘积扰动和混合扰动定理,得到了关于以依赖于时间的二阶微分算子为系数的一大类非自治热方程非齐次情形下的时变广义Wentzell动力边值问题的古典解、严格解的最大正则性结果,获得了半线性发展方程非局部Cauchy问题广义解和经典解存在唯一的判别条件,从实质上推广了现有的相关结果;得到了一部分边缘固定而另一部分附在一粘弹性刚体上的薄板构成的混合粘弹性系统的边界反馈稳定化的新稳定化定理,还建立了一系列其他研究结果。

The one-dimension Terzaghi consolidation differential equation with boundary conditions,in which the top is drainable and the bottom is undrainable was solved,and the solutions obtained from several different references were analyzed.

解答了顶面不排水、底面排水边界条件下的太沙基一维固结微分方程,并比较分析了不同坐标系统下、不同边界条件下的单面排水太沙基一维固结微分方程的解答。

In the field of thermal analysis, combined with the control volume method and the spectral band model, the discrete transfer method is employed to solve the three dimensional transient radiation and conduction heat transfer in the cylinders of nongray semi-transparent media with semi-transparent and opaque surfaces.

在热分析方面,对同时具有半透明和不透明界面、非均匀第二类边界条件及第一和第三类非线性混合边界条件下非灰半透明介质圆柱体内的辐射与导热三维非稳态耦合换热,用离散传递法结合控制容积法和谱带模型进行了求解,得出了某空间光学系统外遮光罩光学窗口内的非稳态温度场。

In Chapter 4, Short-time dynamic behavior of two-dimensional fully frustrated XY model near the Ising-like phase-transition temperature is studied with resistively shunted junction dynamics. The transition temperature and the dynamic and static critical exponents are estimated under both a periodic boundary condition and a fluctuating twist boundary condition using the short-time dynamic scaling analysis.

第四章应用电阻分流结动力学方法研究了完全阻挫XY模型在Ising型相变温度附近的短时动力学行为,运用短时动力学标度分析方法,我们得出了该模型在周期性边界条件下和涨落扭转边界条件下Ising型相变的临界温度和各种临界指数。

From these dynamic solutions, frequency and mode shapes of sectorial plate and sectorial annular plate under boundary conditions of GSS and GRS are derived. The three-dimensional exact solutions of the displacement, electric potential, magnetic potential, stress, electric displacement and magnetic induction of equilibrium problems are also obtained.

由动力学的一般解,导出了扇形板和扇形环板在广义弹性简支和广义刚性滑动边界条件下自由振动的频率方程和振型;并得到了平衡问题的扇形板和扇形环板在两种边界条件下的位移、电势和磁势,应力、电位移和磁感应强度的三维精确解。

In the two test sites, the soil water movement numerical models of vertical-one-dimension and cross section two-dimension have been established with the softwarer Vadose/W and self-programming code, of which the advantage is that it can deals with lower boundary and the upper boundary (such as meteorologic, vegetational, etc) conditions in convenience. The fitting between the model and observation data from sites indicates that the models are relatively high precision. So the models can be used to study problems such as soil evaporation, infiltration to recharge groundwater and so on under various conditions.

运用包气带水分运移软件Vadose/W和自编程序,建立了两个试验场垂向一维和剖面二维土壤水运移模型,该模型的优势在于可灵活地处理下边界和上边界条件,试验场观测数据拟合表明模型精度较高,可用于研究各种条件下土壤蒸发、土壤水分下渗补给地下水等问题。

The author disserted the principle and range of intercepting the local model, the methods of applying force and displacement boundary condition, the principle and method of selecting likely most unfavorable live load condition for the joints mechanical states.

论述了结点的截取原则和范围,力边界条件、位移边界条件的施加方法,结点受力状态可能最不利活载工况的选取原则和选取方法。

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