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.
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.
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.
从含有非线性内热源的瞬态热传导方程出发，建立了用于分析复合材料热传导的有限元公式。
The finite element formulation of the transient heat transfer problem was carried out for the composites based on the heat transfer differential equations with non-linear internal heat sources.
当介质的导热系数是温度的函数时，热传导方程是非线性偏微分方程，作者采用基尔霍夫变换把它变成拉普拉斯方程，于是可以找到原问题的近似解析解。
The nonlinear equation of heat conduction is transformed into a Laplace's equation by applying the Kirchhoff transformation, and an analytic approximate solution of the equation is derived.
由于二维三温热传导方程具有很强的非线性特性，因此采用全隐格式对该方程离散后，所得非线性代数方程组的求解将变得非常困难。
As 2-d 3-t heat conduct equations are discretized in a fully implicit method, it is very difficult to solve the nonlinear algebraic equations obtained due to strong nonlinearity.
由于二维三温热传导方程具有很强的非线性特性，因此采用全隐格式对该方程离散后，所得非线性代数方程组的求解将变得非常困难。
As 2-d 3-t heat conduct equations are discretized in a fully implicit method, it is very difficult to solve the nonlinear algebraic equations obtained due to strong nonlinearity.
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