M. Boulakia, Modélisation et analyse mathématique deprobì emes d'interaction fluide-structure, 2004.

L. Caffarelli, R. Kohn, and L. Nirenberg, Partial regularity of suitable weak solutions of the navier-stokes equations, Communications on Pure and Applied Mathematics, vol.8, issue.6, pp.35-771, 1982.
DOI : 10.1002/cpa.3160350604

G. Cottet and E. Maitre, A level-set formulation of immersed boundary methods for fluid???structure interaction problems, Comptes Rendus Mathematique, vol.338, issue.7, pp.581-586, 2004.
DOI : 10.1016/j.crma.2004.01.023

G. Cottet and E. Maitre, A LEVEL SET METHOD FOR FLUID-STRUCTURE INTERACTIONS WITH IMMERSED SURFACES, Mathematical Models and Methods in Applied Sciences, vol.16, issue.03, pp.415-438, 2006.
DOI : 10.1142/S0218202506001212

URL : https://hal.archives-ouvertes.fr/hal-00103198

G. Cottet, E. Maitre, and T. Milcent, An Eulerian method for fluid-structure interaction with biophysical applications, European Conference on Computational Fluid Dynamics, ECCOMAS CFD 2006, 2006.
URL : https://hal.archives-ouvertes.fr/hal-00171634

L. Lee and R. J. Leveque, An Immersed Interface Method for Incompressible Navier--Stokes Equations, SIAM Journal on Scientific Computing, vol.25, issue.3, pp.832-856, 2003.
DOI : 10.1137/S1064827502414060

E. Maitre, T. Milcent, G. Cottet, A. Raoult, and Y. Usson, Applications of level set methods in computational biophysics, Mathematical and Computer Modelling, vol.49, issue.11-12
DOI : 10.1016/j.mcm.2008.07.026

URL : https://hal.archives-ouvertes.fr/hal-00177593

E. Maitre, C. Misbah, and A. Raoult, Comparison between advected-field and level-set methods in the study of vesicle dynamics, Physica D: Nonlinear Phenomena, vol.241, issue.13
DOI : 10.1016/j.physd.2012.03.005

URL : https://hal.archives-ouvertes.fr/hal-00460668

J. Merodio and R. W. Ogden, Mechanical response of fiber-reinforced incompressible non-linearly elastic solids, International Journal of Non-Linear Mechanics, vol.40, issue.2-3, pp.213-227, 2005.
DOI : 10.1016/j.ijnonlinmec.2004.05.003

R. W. Ogden, Non-linear elastic deformations, 1984.

R. W. Ogden, Nonlinear elasticity, anisoptropy, material staility and residual stresses in soft tissue, in Biomechanics of Soft Tissue in Cardiovascular Systems, CISM Course and Lectures Series 441, pp.65-108, 2003.

S. Osher and R. P. Fedkiw, Level set methods and Dynamic Implicit Surfaces, 2003.
DOI : 10.1007/b98879

URL : http://dx.doi.org/10.1016/s0898-1221(03)90179-9

C. S. Peskin, The immersed boundary method, Acta Numer, vol.11, pp.479-517, 2002.

P. Smereka, The numerical approximation of a delta function with application to level set methods, Journal of Computational Physics, vol.211, issue.1, pp.77-90, 2003.
DOI : 10.1016/j.jcp.2005.05.005

V. A. Solonikov, Estimates for solutions of nonstationary Navier-Stokes equations, Journal of Soviet Mathematics, vol.70, issue.No. 4, pp.467-529, 1977.
DOI : 10.1007/BF01084616

M. Sy, D. Bresch, F. Guillén-gonzález, J. Lemoine, and M. A. , Local strong solution for the incompressible Korteweg model, Comptes Rendus Mathematique, vol.342, issue.3, pp.169-174, 2006.
DOI : 10.1016/j.crma.2005.12.003

URL : https://hal.archives-ouvertes.fr/hal-00103202