Bernoulli problem for rough domains

François Bouchon (1) , Laurent Chupin (1)

1 LMBP - Laboratoire de Mathématiques Blaise Pascal

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.

Domaines: Equations aux dérivées partielles [math.AP]

François Bouchon, Laurent Chupin. Bernoulli problem for rough domains. Methods and Applications of Analysis, 2015, 22 (2), pp.131 - 146. ⟨10.4310/MAA.2015.v22.n2.a1⟩. ⟨hal-00832248⟩