POISSON FORMULAS FOR BIMETAL SPHERES [German]

摘要

Well-known are the Poisson formulae for solving the Dirichlet problem for the ball B+ and the exterior B- of the ball. For the Neumann problem in B+ and B- the formulae are due to Neumann and Bjerknes, respectively. If we consider the stationary heat conduction, and B+ or B- by means of a plane through the centre of B+ is divided into two domains with different heat flux constants, then transmission conditions on the plane are to satisfy. For all these problems formulae of the Poisson type are derived. In the case of the bimetal disk Poisson formulae are given, too. Finally, some remarks on the Dirichlet problem for the bimetal ball at non-perfect heat contact are added. [References: 7]