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How does the picture on the left relate to the one on the right?


Shouldn't every point on the object have the same temperature after a long time?


Does Laplace equation always converge at some point?


I think it was mentioned in lecture that in the long run that solution to heat & laplace is the same. How should I understand that? (time close to infinite being the same as time not changing at all.)


If change in time is equal to Laplacian and Laplacian in 0, then is the change in time 0? I am a little bit confused on how to interpret this :(


I am also confused with how heat equation after a long time is the same as laplacian. Is this heat different from the physics heat we think about?


Does the geometry of the object affect how the heat distribution spreads (e.g. the valley after a large hill may not get as much heat as a valley before a hill), or is it solely dependent on distance?


I’m a bit confused: how can we get the right from the left? I see the connection but not quite sure how they correspond to each other.


How is this the same as laplace?