When a solid is experiencing heat conduction with an internal heat source, the intensity of the source q (heating rate per unit volume, W/m 3) is temperature-dependent and q increases with T, there is a critical value of dq/dT beyond which the steady state temperature is unbounded. Nevertheless, I happen to have some knowledge of heat transfer, and I am able to make the following general description, which may help you to understand why, for certain values of the two parameters that you mentioned, the solution is unbounded. Issue 4 is the only one that you may reasonably expect to be addressed in this forum.
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