研究了多介质热传导问题。
The heat conduction problem with many mediums have been examined.
热传导问题于高温条件下，往往是可移动边界问题。
The heat-conduction problem is often a movable boundary problem under the high temperature.
最后列举了两个具有理论解的非稳态热传导问题的算例。
Finally, two examples are given which have unsteady heat conduction problems of theoretical solution.
最后列举了两个具有理论解的非稳态热传导问题的算例。
Finally, two examples are given which have unsteady heat conduction problems…
对轴对称稳态热传导问题的弥散逼近数值解作了初步研究。
We have made initial researches on the diffuse approximate solution for stable axisymmetric heat transfer problems.
引入外部热汇后，我们将能量耗散问题转化为一个热传导问题。
We transform the problem of energy dissipation into a problem of heat conduction by the introduction of external heat sink.
热板问题是典型的反问题，同时也是一个典型的线性热传导问题。
Heating-plate problem is a typical inverse problem, and also a typical problem of the linear heat conduction problem.
但目前关于逆热传导问题的已有结果主要是针对标准逆热传导问题。
But now the results on inverse heat conduction problem are mainly devoted to the standard inverse heat conduction problem.
本文旨在研究获得两个逆热传导问题稳定解的正则化方法及其数值实现问题。
The aim of this thesis is to study the Regularization Method for stable solution of two inverse heat conduction problems and study their numerical implements.
研究了一种空间时间多尺度的方法，来分析周期性材料中非傅立叶热传导问题。
A spatial and temporal multiple scale method is studied to simulate the phenomenon of non-Fourier heat conduction in periodic heterogeneous materials.
例如：弹性膜的平衡问题，稳定状态的热传导问题，不可压缩势流问题，静电场问题以及静磁场问题。
Such as: the balance of elastic membrane, the heat conduction of stationary state, the incompressible potential flow, the problem of electrostatic field and magnetostatics field.
利用成熟的气体导热模型和气体分子运动论，对快速瞬态高强度加热情况下的热传导问题进行了理论研究。
The heat conduction for rapid transient and strong heating was researched by the mature heat conduction model of gas and kinetic theory of gases.
为了验证此求解过程的正确性，完整性和通用性，对非稳态热传导问题本文给出了两类算例，总共十一个问题。
The eleven examples of two groups were presented to validate the correction, integrity and universality of the program.
本文介绍了求解奇异摄动问题的一种有效方法——边界层函数法，并用此方法研究了在薄矩形板中的热传导问题。
In this paper, the boundary layer function method, an effective method for the solution of singular perturbation, was presented and used to deal with the heat transfer in thin rectangular plates.
采用有限元方法分析由于防火涂料局部破损而造成的火灾下钢构件内的三维热传导问题，给出构件内温度的分布规律。
The Finite Element Approach is used to analyze the temperature distribution of steel members covered by fire insulation subjected to fire.
理论分析和数值实验均表明：多尺度数值方法对求解多孔复合介质周期结构的热传导和质扩散问题是可行的和有效的。
The theoretical analysis and numerical experiments show that the multiscale finite element method presented in this paper is very effective to solve above these kinds of problems.
本文用有限的二重傅里叶变换解波动方程，热传导方程，拉普拉斯方程以及泊松方程的非齐次边值问题。
In this paper, the finite double Fourier transforms were applied to solve the nonhomogeneous boundary value problems of the wave, heat conduction, Laplace and Poisson equations.
本文对热传导方程的一些反问题作了研究。
In this paper, some inverse problems for the heat equation are considered.
本文考虑一类具有广泛应用背景的双相滞热传导方程混合边界问题。
This paper is concerned with the mixed boundary problems of dual-phase-lagging heat conduction equations arising in many fields.
该软件使用SOR方法来求解大规模定常热传导工程问题。
The software was used to solve big engineering problems of heat exchange via SOR.
给出了热传导方程边界控制问题的精确解和近似解，证明了近似解对精确解的收敛性。
In this paper, the exact solution and approximate solution of the boundary control problem for a class of the heat-conduction equation are given.
利用广义函数的概念构造出热传导方程柯西问题的解。
A solution of Cauchy's problem of heat conduction equation is constructed with the concept of generalized function.
就一类典型的抛物型问题——热传导方程，研究矩形网格上质量集中有限元方法的有关性质。
In this paper, the exact solution and approximate solution of the boundary control problem for a class of the heat-conduction equation are given.
轴承中的热传导作为轴对称问题处理。
The heat conduction in rolling bearing can be treated as an axisymmetric problem.
采用坐标变换法导出了圆筒空间轴对称问题稳态热传导温度分布的关系式。
Using the variable transformation method, the formulae of the axial symmetrical wall temperature distribution during steady heat conduction of a hollow cylinder are derived in this paper.
本文分为两个部分，主要讨论了一维热传导方程的绕射问题。
Divided by two parts, this paper mainly discusses the diffraction problems of one-dimensional heat flow equations.
利用热弹体运动方程和热传导方程耦合问题的变换域解，求解其极点留数的解析表达式。
For the transformed solution of the thermoelastic and heat conduction equations coupled problem, the analytical representation of the pole residues is obtained.
基于热传导波动模型给出了物体中热波多重散射问题的一般解。
A general solution of multiple scattered waves in solids based on wave equations of heat conduction is given.
然后由得到的平衡方程、热传导方程和本构方程建立了两种不同本构模型的粘弹性杆热-结构耦合问题的数学模型。
Then we can get the math model of the two kind of constitutive models' heat-mechanics coupling problem by using the balance equation, the heat exchange equation and the constitutive equation.
探论一类含对流项的热传导方程的只含有空间变量的热源识别反问题。
A class of inverse problems of identification of heat source dependent only on spatial variables was discussed in heat equation with convective term.
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