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.
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.
解热传导方程，求出激光辐照下金属板材料的温度分布；
Throngh solving the heat transmission equations, the temperature distribution of metal plate by laser radiation can be gained.
根据傅里叶热传导方程，导出了轧辊的动态热凸度数学模型。
A dynamic thermal camber model of rolls has been derived according to Fourier's thermal conducting equation.
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.
建立了考虑热源项的热传导方程，并给出了相应的边界条件。
The heat conduction equations considering heat resource are established, and the corresponding boundary conditions are given.
文中证明了非线性热传导方程只能有连续解，不可能存在间断解。
In this paper, the author proves that, for a non-linear heat conduction equation, there is no discontinuous solution.
最后将此类逆热传导方程应用到图像压缩中，收到了很好的成效。
A quite useful solution model has been deduced. Finally, we apply the inverse heat conduction problem to image compression.
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.
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.
如描述热传导、扩散等物理现象的热传导方程就是最典型的抛物型方程。
Heat equation is the most typical one of parabolical equations, which describes many physical-phenomenas, such as conduction, diffusion. Etc.
但是由于辐射热传导方程具有很强的非线性，其精确的解析解很难求出。
However, accurate analytic diffusion wave solutions are difficult to obtain due to the strong nonlinearity of the radiation diffusion equation.
探讨了热传导方程在非局部时间边界条件下非线性热源反演的唯一性问题。
This paper deals with uniqueness of inversion of the nonlinear source term in heat equation with a class of nonlocal boundary of time.
从地温满足的热传导方程出发，导出了计算土壤平均和瞬时热通量的计算方案。
The project calculating the average and instantaneous soil heat flux is deduced from the heat transmission equation satisfied by the ground temperature.
结合变物性非均匀材料本构方程，推导出变物性非均匀复合材料的热传导方程。
Then by being combined with constitutive equation of changing physical parameter and nonhomogeneous compound material, it deduces the heat conduction equation of c.
首次在激光热传导方程中引入噪声项，推导了噪声影响下该激光热传导方程的解。
The noise source was firstly introduced into the differential equation of laser thermal conduction and the equation was solved.
根据麦克斯韦方程和热传导方程，建立电磁导轨炮固体电枢二维非稳态计算模型。
According to Maxwell and heat transfer equations, the 2D unsteady computational models of electromagnetic railgun solid armature was built up.
本文对考虑容积吸收及对流换热的影响后双曲型热传导方程的计算结果进行了分析。
This paper analyzes the calculation results of the hyperbolic heat conduction formula with considering volume absorption and convection heat transfer.
本文讨论了一类在无结构三角网上数值求解二维热传导方程的有限差分区域分解算法。
In this paper, a finite difference domain decomposition algorithm on an unstructured triangular mesh for numerically solving the two-dimensional heat equation is studied.
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.
综合热传导方程与过冷形核、生长规律，用显式有限差分法模拟了共晶铸铁的凝固过程。
An explicit finite-difference method (FDM) was used to model and simulate the solidification of eutectic cast iron by combining heat transfer equations with undercooling nucleation and growth laws.
合并不同阶的均匀化非傅立叶热传导方程，消去缩小时间尺度参数，得到四阶微分方程。
By combining various orders of homogenized non-Fourier heat conduction equations, the reduced time dependence is eliminated and the fourth-order differential equations are derived.
本文针对二维三温辐射热传导方程的两种简化模型的有限元方程，讨论了两层网格方法。
In this paper, using the finite element method, we discuss the two-grid methods for two simplified models.
温度场的求解基于等效时间的非线性热传导方程，应力场求解考虑混凝土初期徐变影响。
The temperature field was solved by equivalent time-based non-linear heat conduction equation. The creep of concrete at early age was taken into account for solving the stress field.
讨论了用隐式完全守恒差分格式求解流体力学方程组，用变分原理求解热传导方程等特点。
Features of solving the hydrodynamic equations by the fully conservative implicit difference scheme and solving the thermal conductive equations by the variational method are discussed.
本文从热传导方程出发，得到了大洋中脊下岩石层温度分布的分析表达式及数值计算结果。
By use of the heat conduction equation in a moving medium, the analytical solution of the temperature distribution and heat flow distribution and its computational results are obtained in this paper.
同时将一类与外界无热交换的二维逆热传导方程应用到图像压缩中，并取得了预期的效果。
At the same time, we introduce a kind of two dimensional inverse heat conduction problems which do not convect with outer space in doing the compression, and we have got the expected result.
同时将一类与外界无热交换的二维逆热传导方程应用到图像压缩中，并取得了预期的效果。
At the same time, we introduce a kind of two dimensional inverse heat conduction problems which do not convect with outer space in doing the compression, and we have got the expected result.
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