Solving Poisson's equation with interior conditions

J. E. McCarthy; E. Yu Backhaus; J. Fajans

doi:10.1063/1.532653

Solving Poisson's equation with interior conditions

J. E. McCarthy
, E. Yu Backhaus
, J. Fajans

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

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 can always find an approximate solution if the plasma has no holes.

Original language	English
Pages (from-to)	6720-6729
Number of pages	10
Journal	Journal of Mathematical Physics
Volume	39
Issue number	12
DOIs	https://doi.org/10.1063/1.532653
State	Published - Dec 1998

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title = "Solving Poisson's equation with interior conditions",

abstract = "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 can always find an approximate solution if the plasma has no holes.",

author = "McCarthy, \{J. E.\} and Backhaus, \{E. Yu\} and J. Fajans",

year = "1998",

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AB - 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 can always find an approximate solution if the plasma has no holes.

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U2 - 10.1063/1.532653

DO - 10.1063/1.532653

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EP - 6729

JO - Journal of Mathematical Physics

JF - Journal of Mathematical Physics

IS - 12

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Solving Poisson's equation with interior conditions

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