Infinite body, cylindrical coordinate, steady 1-D.

R00 Infinite body, 0 $\leq$ r < $\infty$. Note that this geometry requires a pseudo GF, denoted H. The temperature solution found from a pseudo GF requires that the total volumetric heating sums to zero and the spatial average temperature in the body must be supplied as a known condition.

2$$\pi$$H_R00(r $$\left\vert\vphantom{ \,r^{\prime }}\right.$$ r^$\prime$$$\left.\vphantom{ \,r^{\prime }}\right.$$) = $$\left\{\vphantom{ \begin{array}{cc} -\ln (r^{\prime }) & \text... ... }r<r^{\prime } \\ -\ln (r) & \text{for }r>r^{\prime } \end{array} }\right.$$$$\begin{array}{cc} -\ln (r^{\prime }) & \text{for }r<r^{\prime } \\ -\ln (r) & \text{for }r>r^{\prime } \end{array}$$ $$\left.\vphantom{ \begin{array}{cc} -\ln (r^{\prime }) & \text{for }r<r^{\prime } \\ -\ln (r) & \text{for }r>r^{\prime } \end{array} }\right.$$