Why the things that happen following in physics can be solved?
Is there a reason we want to do Laplace here? Since intuitively, it doesn't seem that the heat will interpolate with the same first derivative (the same rate), as higher heat points usually cool down faster than lower heat points.
Intuitively it seems like uniform heat should be around the source, but it seems like the heat is flowing more inwards. Is this also explained by Laplace?