Henri Poincaré: On the Partial Differential Equations of Mathematical Physics – Law of cooling of an isolated solid body in space

|

Suppose we are looking for the law of cooling of an isolated solid body in space. It will be a question of finding a function V satisfying the equation dV/dt = kΔV, and which moreover is given for t = … Read More

Poincaré: On the Partial Differential Equations of Mathematical Physics – Laplace equation for magnets

|

Suppose one or more permanent magnets placed in the presence of a perfectly magnetically soft body M. It is a question of finding a function V (the magnetic potential) which satisfies the Laplace equation in all the portion of space … Read More