Henri Poincaré: Potential of an electric mass distributed on the surface of a sphere (2)

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Suppose that we propose to find a function F which satisfies Laplace’s equation inside the sphere S and which, at the different points M of the surface of this sphere, take given values V°. The value of this function V … 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

Poincaré: The problem of the pulsating spheres of Bjerknes

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We will first cite the following problem; a liquid is contained in a vessel which it completely fills; various moving solid bodies are immersed in this liquid; we know the movements of these bodies and we suppose that there is … Read More