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Remarks concerning a free boundary problem arising in the theory of liquid drops and in plasma physics
Published online by Cambridge University Press: 14 November 2011
Synopsis
We consider a generalisation of the liquid drop problem, introduced in [1, Part II], by allowing the upper and lower surfaces to have different surface tension coefficients γv and γu. We study the existence, uniqueness and regularity of this problem. In addition, we show that as γv/γu →0, the solution of this problem converges to the solution of the “plasma problem”.
- Type
- Research Article
- Information
- Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 111 , Issue 1-2 , 1989 , pp. 169 - 181
- Copyright
- Copyright © Royal Society of Edinburgh 1989
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