Methods and Applications of Analysis
Volume 22 (2015)
Bernoulli problem for rough domains
Pages: 131 – 146
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.
Bernoulli problem, free boundary, roughness, rugosity
2010 Mathematics Subject Classification
35B27, 35N25, 35R35, 78M35