R. V. Kohn and M. Vogelius, Determining conductivity by boundary measurements II. Interior results, Communications on Pure and Applied Mathematics, vol.56, issue.5, pp.643-667, 1985.
DOI : 10.5802/aif.65

S. Andrieux and T. N. Baranger, An energy error-based method for the resolution of the Cauchy problem in 3D linear elasticity, Comput. Methods in Appl, Mech. Eng, vol.197, pp.902-920, 2008.

R. J. Arthern and G. H. Gudmundsson, Abstract, Journal of Glaciology, vol.111, issue.197, pp.527-533, 2010.
DOI : 10.1090/S0002-9904-1946-08524-9

Z. Zahab, E. Divo, and A. Kassab, Minimisation of the wall shear stress gradients in bypass grafts anastomoses using meshless CFD and genetic algorithms optimisation, Computer Methods in Biomechanics and Biomedical Engineering, vol.103, issue.1, pp.13-35, 2010.
DOI : 10.1016/S0003-4975(99)00452-X

Y. L. Yeow, W. C. Ko, and P. P. Tang, Solving the inverse problem of Couette viscometry by Tikhonov regularization, Journal of Rheology, vol.44, issue.6, pp.44-1335, 1978.
DOI : 10.1122/1.1308520

C. Fabre, Uniqueness results for Stokes equations and their consequences in linear and nonlinear control problems, ESAIM: Control, Optimisation and Calculus of Variations, vol.1, pp.267-302, 1996.
DOI : 10.1051/cocv:1996109

URL : http://www.esaim-cocv.org/articles/cocv/pdf/1996/01/cocv-Vol1.10.pdf

F. Caubet, Instability of an Inverse Problem for the Stationary Navier--Stokes Equations, SIAM Journal on Control and Optimization, vol.51, issue.4, pp.2949-2975, 2013.
DOI : 10.1137/110836857

URL : https://hal.archives-ouvertes.fr/hal-00696174

C. Fabre, A. Du-général-de-gaulle, and G. Libeau, Prolongement Unique Des Solutions, Prolongement Unique Des Solutions, pp.573-596, 1996.
DOI : 10.1512/iumj.1980.29.29031

O. Y. Imanuvilov, Remarks on exact controllability for the Navier-Stokes equations, ESAIM: Control, Optimisation and Calculus of Variations, vol.491, pp.39-72, 2001.
DOI : 10.1007/BFb0105035

T. Kim and D. Cao, Local Exact Controllability of the Navier???Stokes Equations with the Condition on the Pressure on Parts of the Boundary, SIAM Journal on Control and Optimization, vol.48, issue.6, pp.3805-3837, 2010.
DOI : 10.1137/060650143

R. Regbaoui, Strong unique continuation for stokes equations, Communications in Partial Differential Equations, vol.66, issue.9-10, pp.1891-1902, 1999.
DOI : 10.1016/0022-0396(87)90043-X

R. Aboulaich, A. B. Abda, and M. , A control type method for solving the Cauchy???Stokes problem, Applied Mathematical Modelling, vol.37, issue.6, pp.4295-4304, 2013.
DOI : 10.1016/j.apm.2012.09.014

A. B. Abda, I. B. Saad, and M. Hassine, Recovering boundary data: The Cauchy Stokes system, Applied Mathematical Modelling, vol.37, issue.1-2, pp.1-12, 2013.
DOI : 10.1016/j.apm.2012.01.055

URL : https://doi.org/10.1016/j.apm.2012.01.055

S. Andrieux, T. Baranger, and A. B. Abda, Solving Cauchy problems by minimizing an energy-like functional, Inverse Problems, vol.22, issue.1, 2006.
DOI : 10.1088/0266-5611/22/1/007

URL : https://hal.archives-ouvertes.fr/hal-00139569

T. Baranger and S. Andrieux, Constitutive law gap functionals for solving the Cauchy problem for linear elliptic PDE, Applied Mathematics and Computation, vol.218, issue.5, pp.1970-1989, 2011.
DOI : 10.1016/j.amc.2011.07.009

URL : https://hal.archives-ouvertes.fr/hal-00640398

M. Badra, F. Caubet, and M. Dambrine, DETECTING AN OBSTACLE IMMERSED IN A FLUID BY SHAPE OPTIMIZATION METHODS, Mathematical Models and Methods in Applied Sciences, vol.23, issue.10, pp.2069-2101, 2011.
DOI : 10.1007/BFb0004434

URL : https://hal.archives-ouvertes.fr/hal-00583469

G. Bastay, T. Johansson, V. A. Kozlov, and D. Lesnic, An alternating method for the stationary Stokes system, ZAMM, vol.24, issue.4, pp.86-268, 2006.
DOI : 10.1002/zamm.200410238

F. Berntsson, V. Kozlov, L. Mpinganzima, and B. Turesson, An alternating iterative procedure for the Cauchy problem for the Helmholtz equation, Inverse Problems in Science and Engineering, vol.8, issue.1, pp.45-62, 2014.
DOI : 10.1007/978-3-642-65161-8

V. A. Kozlov, V. G. Maz-'ya, and A. Fomin, An iterative method for solving the Cauchy problem for elliptic equations, Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, pp.31-64, 1991.

F. B. Belgacem and H. E. Fekih, On Cauchy's problem: I. A variational Steklov???Poincar?? theory, Inverse Problems, vol.21, issue.6, 1915.
DOI : 10.1088/0266-5611/21/6/008

M. L. Kadri, J. B. Abdallah, and T. N. Baranger, Identification of internal cracks in a three-dimensional solid body via Steklov???Poincar?? approaches, Comptes Rendus M??canique, vol.339, issue.10, pp.339-674, 2011.
DOI : 10.1016/j.crme.2011.06.004

A. Zeb, L. Elliott, D. B. Ingham, and D. Lesnic, Boundary element two-dimensional solution of an inverse Stokes problem, Engineering Analysis with Boundary Elements, vol.24, issue.1, pp.75-88, 2000.
DOI : 10.1016/S0955-7997(99)00040-5

H. Hedenmalm, On the uniqueness theorem of Holmgren, Mathematische Zeitschrift, vol.59, issue.1, pp.357-378, 2015.
DOI : 10.1090/S0002-9904-1953-09651-3

A. Borichev and H. Hedenmalm, Weighted integrability of polyharmonic functions, Advances in Mathematics, vol.264, pp.464-505, 2014.
DOI : 10.1016/j.aim.2014.07.020

URL : https://hal.archives-ouvertes.fr/hal-01114547

P. Chevalier and F. Nataf, Symmetrized method with optimized second-order conditions for the Helmholtz equation, Contemp. Math, vol.218, pp.400-407, 1998.
DOI : 10.1090/conm/218/03035

T. T. Hoang, C. Japhet, M. Kern, and J. E. Roberts, Ventcell Conditions with Mixed Formulations for Flow in Porous Media, 22th International conference on domain decomposition methods, 2013.
DOI : 10.1007/978-3-319-18827-0_54

URL : https://hal.archives-ouvertes.fr/hal-01113964

T. Clopeau, A. Mikelic, and R. Robert, On the vanishing viscosity limit for the 2D incompressible Navier-Stokes equations with the friction type boundary conditions, Nonlinearity, vol.11, issue.6, p.1625, 1998.
DOI : 10.1088/0951-7715/11/6/011

V. Girault and P. Raviart, Finite element methods for Navier-Stokes equations: theory and algorithms, 2012.
DOI : 10.1007/978-3-642-61623-5

V. Milisic, Blood-flow modelling along and trough a braided multi-layer metallic stent, arXiv preprint, 2009.

A. V. Fursikov, Optimal control of distributed systems, Theory and applications, 2000.

G. R. Goldstein, Derivation and physical interpretation of general boundary conditions, Adv. Differential Equations, vol.11, pp.457-480, 2006.

M. Dambrine and D. Kateb, Persistency of wellposedness of Ventcel???s boundary value problem under shape deformations, Journal of Mathematical Analysis and Applications, vol.394, issue.1, pp.129-138, 2012.
DOI : 10.1016/j.jmaa.2012.04.018

F. Brezzi and J. D. Jr, Stabilized mixed methods for the Stokes problem, Numerische Mathematik, vol.36, issue.1-2, pp.225-235, 1988.
DOI : 10.1007/BF01395886

D. Peterseim and S. A. Sauter, Finite element methods for the Stokes problem on complicated domains, Computer Methods in Applied Mechanics and Engineering, vol.200, issue.33-36, pp.2611-2623, 2011.
DOI : 10.1016/j.cma.2011.04.017

J. Szeftel, Calcul pseudodifférentiel et paradifférentiel pour l'´ etude de conditions aux limites absorbantes et de propriétés qualitatives d'´ equations aux dérivées partielles non linéaires, 2004.

M. Aza¨?ezaza¨?ez, F. B. Belgacem, and H. E. Fekih, On Cauchy's problem: II. Completion, regularization and approximation, Inverse Problems, vol.22, issue.4, p.1307, 2006.
DOI : 10.1088/0266-5611/22/4/012

F. Brezzi and M. Fortin, Mixed and Hybrid Finite Element Methods, 1991.
DOI : 10.1007/978-1-4612-3172-1

D. Calvetti, B. Lewis, and L. , On the choice of subspace for iterative methods for linear discrete ill-posed problems, Int. J. Appl. Math. Comput. Sci, pp.11-1069, 2001.

D. Calvetti, B. Lewis, and L. , On the regularizing properties of the GMRES method, Numerische Mathematik, vol.91, issue.4, pp.91-605, 2002.
DOI : 10.1007/s002110100339

A. Neuman, L. Reichel, and H. Sadok, Algorithms for range restricted iterative methods for linear discrete ill-posed problems, Numerical Algorithms, vol.37, issue.2, pp.325-331, 2012.
DOI : 10.1016/0022-247X(72)90259-4

URL : http://www.math.kent.edu/~reichel/publications/rrgmres.pdf

P. C. Hansen, REGULARIZATION TOOLS: A Matlab package for analysis and solution of discrete ill-posed problems, Numerical Algorithms, vol.55, issue.Suppl., pp.1-35, 1994.
DOI : 10.1137/1.9781611971675

M. J. Gander and Y. Xu, Optimized Schwarz Methods for Circular Domain Decompositions with Overlap, SIAM Journal on Numerical Analysis, vol.52, issue.4, pp.1981-2004, 2014.
DOI : 10.1137/130946125

URL : http://www.unige.ch/~gander/Preprints/CurvatureL.pdf

M. J. Gander, Optimized Schwarz Methods, SIAM Journal on Numerical Analysis, vol.44, issue.2, pp.699-731, 2006.
DOI : 10.1137/S0036142903425409

URL : https://hal.archives-ouvertes.fr/hal-00107263

O. Dubois, Optimized Schwarz Methods with Robin Conditions for the Advection-Diffusion Equation, pp.181-188, 2007.
DOI : 10.1007/978-3-540-34469-8_18

M. A. Fernández, J. Gerbeau, and V. Martin, Numerical simulation of blood flows through a porous interface, ESAIM: Mathematical Modelling and Numerical Analysis, vol.151, issue.6, pp.42-961, 2008.
DOI : 10.1006/jcph.1999.6212