G. Arumugam and O. Pironneau, On the problems of riblets as a drag reduction device, Optimal Control Appl, Methods, vol.10, issue.2, pp.93-112, 1989.

F. Boyer and P. Fabrie, Eléments d'analyse pour l'´ etude de quelques modèles d'´ ecoulements de fluides visqueux incompressibles, Mathématiques et Applications, vol.52, 2006.

D. Bucur and G. Buttazo, Variational methods in Shape Optimization Problems, Progress in Nonlinear Differential Equations and Their Applications, 65 Birkhäuser, 2005.
URL : https://hal.archives-ouvertes.fr/hal-00414080

D. Chenais, On the existence of a solution in a domain identification problem, Journal of Mathematical Analysis and Applications, vol.52, issue.2, pp.189-289, 1975.
DOI : 10.1016/0022-247X(75)90091-8

H. Choi, P. Moin, and J. Kim, Turbulent drag reduction: studies of feedback control and flow over riblets, CTR Rep. TF-55, 1992.

M. Delfour and J. P. , Zolésio Shapes and geometries. Analysis, differential calculus, and optimization, Advances in Design and Control SIAM, 2001.

J. C. De-los-reyes and R. , State-constrained optimal control of the three-dimensional stationary Navier???Stokes equations, Journal of Mathematical Analysis and Applications, vol.343, issue.1, pp.257-272, 2008.
DOI : 10.1016/j.jmaa.2008.01.029

X. Dubois-de-lasablonì-ere, B. Mauroy, and Y. , privat Shape minimization of the dissipated energy in dyadic trees, Discrete Contin, Dyn. Syst. Ser. B, vol.16, issue.3, pp.767-799, 2011.

A. Henrot and M. Pierre, Variation et Optimisation de formes, coll, Mathématiques et Applications, vol.48, 2005.

A. Henrot and Y. Privat, Une conduite cylindrique n'est pas optimale pour minimiser l'´ energie dissipée par un fluide, C. R. Acad. Sci. Paris Sér. I Math, 2008.

A. Henrot and Y. Privat, What is the Optimal Shape of a Pipe?, Archive for Rational Mechanics and Analysis, vol.45, issue.4, pp.281-302, 2010.
DOI : 10.1007/s00205-009-0243-8
URL : https://hal.archives-ouvertes.fr/hal-00333705

M. Hinze and K. Kunisch, Second order methods for boundary control of the instationary Navier-Stokes system, ZAMM, vol.84, issue.3, pp.171-187, 2004.
DOI : 10.1002/zamm.200310094

M. Hinze and K. Kunisch, Second Order Methods for Optimal Control of Time-Dependent Fluid Flow, SIAM Journal on Control and Optimization, vol.40, issue.3, pp.925-946, 2001.
DOI : 10.1137/S0363012999361810

C. B. Morrey, Multiple Integrals in the Calculus of Variations, 1966.
DOI : 10.1007/978-3-540-69952-1

R. Lohner, Applied Computational Fluid Dynamics Techniques: An Introduction Based on Finite Element Methods, 2001.
DOI : 10.1002/9780470989746

B. Mauroy, M. Filoche, J. S. Andrade, and B. Sapoval, Interplay between Geometry and Flow Distribution in an Airway Tree, Physical Review Letters, vol.90, issue.14, pp.1-4, 2003.
DOI : 10.1103/PhysRevLett.90.148101
URL : https://hal.archives-ouvertes.fr/hal-00916486

V. A. Kozlov and V. G. , On ???Power-logarithmic??? Solutions to the Dirichlet Problem for the Stokes System in a Dihedral Angle, Mathematical Methods in the Applied Sciences, vol.2, issue.4, pp.315-346, 1997.
DOI : 10.1002/(SICI)1099-1476(19970310)20:4<315::AID-MMA861>3.0.CO;2-M

V. A. Kozlov and V. G. Maz-'ya, The asymptotic behavior of solutions of the Navier-Stokes equations near the edges, Dokl. Akad. Nauk SSSR, vol.210, pp.803-806, 1973.

B. Mohammadi and O. Pironneau, Applied shape optimization for fluids, 2001.
DOI : 10.1093/acprof:oso/9780199546909.001.0001
URL : https://hal.archives-ouvertes.fr/hal-00385714

F. Murat and J. Simon, Sur le contrôle par un domaine géométrique, Publication du Laboratoire d'Analyse Numérique de l, 1976.

J. Ortega and E. Zuazua, Generic simplicity of the eigenvalues of the Stokes system in two space dimensions, Adv. Differential Equations, vol.6, issue.8, pp.987-1023, 1984.

O. Pironneau, Optimal shape design for elliptic systems, 1984.

P. Plotnikov and J. Sokolowski, Domain Dependence of Solutions to Compressible Navier???Stokes Equations, SIAM Journal on Control and Optimization, vol.45, issue.4, pp.1165-1197
DOI : 10.1137/050635304
URL : https://hal.archives-ouvertes.fr/hal-00101910

J. Sokolowski and J. P. Zolesio, Introduction to Shape Optimization Shape Sensitivity Analysis, Springer Series in Computational Mathematics, vol.16, 1992.

L. Stupelis, Navier-Stokes equations in irregular domains, Mathematics and its Applications, vol.326, 1995.
DOI : 10.1007/978-94-015-8525-5