Bernoulli problem for rough domains
Analysis of PDEs
2013-06-11 v1
Abstract
We consider the exterior free boundary Bernoulli problem in the case of a rough given domain. An asymptotic analysis shows that the solution of the initial problem can be approximated by the solution of a non-rough Bernoulli problem at order 2. Numerical tests confirm these theoretical results.
Cite
@article{arxiv.1306.2126,
title = {Bernoulli problem for rough domains},
author = {Bouchon François and Chupin Laurent},
journal= {arXiv preprint arXiv:1306.2126},
year = {2013}
}
Comments
14 pages, 7 figures