Solving Poisson ’ s equation with interior conditions

  title={Solving Poisson ’ s equation with interior conditions},
  author={John E. McCarthy and E. Yu. Backhaus and J Fajans},
We consider the problem of extending the solution of a particular two-dimensional Poisson equation to a larger domain. This problem is related to the problem of putting a non-neutral plasma into equilibrium by applying a suitable wall potential, and to similar problems in two-dimensional fluid dynamics. While one cannot always find an exact solution, one… CONTINUE READING