Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898095 | Physica D: Nonlinear Phenomena | 2007 | 11 Pages |
Abstract
This is a selection of facts, old and recent, about quadrature domains. The text, written in the form of a survey, is addressed to non-experts and covers a variety of phenomena related to quadrature domains, such as: the difference between quadrature domains for subharmonic, harmonic and respectively complex analytic functions, geometric properties of the boundary, instability in the reverse Hele–Shaw flow, dependence and non-uniqueness on the quadrature data, interpretation in terms of function theory on Riemann surfaces, a matrix model and a reconstruction algorithm. Also there are some low degree/order examples where computations can be carried out in detail.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Björn Gustafsson, Mihai Putinar,