On a Bernoulli problem with geometric constraints

Details On a Bernoulli problem with geometric constraints On a Bernoulli problem with geometric constraints

2010-10-15

arxiv.org/abs/1010.3144v1

Mathematics

Analysis of PDEs

Scientific paper

10.1051/cocv/2010049

A Bernoulli free boundary problem with geometrical constraints is studied. The domain $\Om$ is constrained to lie in the half space determined by $x_1\geq 0$ and its boundary to contain a segment of the hyperplane $\{x_1=0\}$ where non-homogeneous Dirichlet conditions are imposed. We are then looking for the solution of a partial differential equation satisfying a Dirichlet and a Neumann boundary condition simultaneously on the free boundary. The existence and uniqueness of a solution have already been addressed and this paper is devoted first to the study of geometric and asymptotic properties of the solution and then to the numerical treatment of the problem using a shape optimization formulation. The major difficulty and originality of this paper lies in the treatment of the geometric constraints.

Affiliated with

Also associated with

No associations

Rating

On a Bernoulli problem with geometric constraints does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On a Bernoulli problem with geometric constraints, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On a Bernoulli problem with geometric constraints will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-203989