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.

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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.

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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.

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