Henri Poincaré: Common properties of mathematical physics

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This rapid review of the various parts of mathematical physics has convinced us that all these problems, despite the extreme variety of boundary conditions and even differential equations, have, so to speak, a certain air of family which it is … Read More

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

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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

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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

Henri Poincaré, Mathematical physics: 1 – Dirichlet’s problem

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When we consider the various problems of integral calculus which naturally arise when we want to go deeper into the most different parts of physics, it is impossible not to be struck by the analogies that all these problems present … Read More