G. Ronald and . Larson, Instabilities in viscoelastic flows, Rheologica Acta, vol.31, pp.213-263, 1992.

M. Morton and . Denn, Extrusion instabilities and wall slip, Annual Review of Fluid Mechanics, vol.33, pp.265-287, 2001.

J. Agassant, R. Dawn, C. Arda, A. Combeaud, H. Merten et al., Polymer Processing Extrusion Instabilities and Methods for their Elimination or Minimisation, International Polymer Processing, vol.21, issue.3, pp.239-255, 2006.
DOI : 10.3139/217.0084

URL : https://hal.archives-ouvertes.fr/hal-00512800

H. Nguyen and D. Boger, The kinematics and stability of die entry flows, Journal of Non-Newtonian Fluid Mechanics, vol.5, pp.353-368, 1979.
DOI : 10.1016/0377-0257(79)85023-5

J. Piau, B. Kissi, and . Tremblay, Influence of upstream instabilities and wall slip on melt fracture and sharkskin phenomena during silicones extrusion through orifice dies, Journal of Non-Newtonian Fluid Mechanics, vol.34, issue.2, pp.145-180, 1990.
DOI : 10.1016/0377-0257(90)80016-S

C. Combeaud, Y. Demay, and B. Vergnes, Experimental study of the volume defects in polystyrene extrusion, Journal of Non-Newtonian Fluid Mechanics, vol.121, issue.2-3, pp.175-185, 2004.
DOI : 10.1016/j.jnnfm.2004.06.007

URL : https://hal.archives-ouvertes.fr/hal-00015351

H. Gareth, . Mckinley, P. William, . Raiford, A. Robert et al., Nonlinear dynamics of viscoelastic flow in axisymmetric abrupt contractions, Journal of fluid mechanics, vol.223, pp.411-456, 1991.

B. Meulenbroek, C. Storm, N. Alexander, W. Morozov, and . Van-saarloos, Weakly nonlinear subcritical instability of visco-elastic Poiseuille flow, Journal of Non-Newtonian Fluid Mechanics, vol.116, issue.2-3, pp.235-268, 2004.
DOI : 10.1016/j.jnnfm.2003.09.003

B. Meulenbroek, C. Storm, V. Bertola, C. Wagner, D. Bonn et al., Intrinsic Route to Melt Fracture in Polymer Extrusion: A Weakly Nonlinear Subcritical Instability of Viscoelastic Poiseuille Flow, Physical review letters 90, p.24502, 2003.
DOI : 10.1063/1.869764

J. Helen, . Wilson, M. John, and . Rallison, Instability of channel flow of a shear-thinning white?metzner fluid, Journal of non-newtonian fluid mechanics, vol.87, pp.75-96, 1999.

J. Helen, V. Wilson, and . Loridan, Linear instability of a highly shear-thinning fluid in channel flow, Journal of Non-Newtonian Fluid Mechanics, vol.223, pp.200-208, 2015.

V. Bertola, B. Meulenbroek, C. Wagner, C. Storm, A. Morozov et al., Experimental Evidence for an Intrinsic Route to Polymer Melt Fracture Phenomena: A Nonlinear Instability of Viscoelastic Poiseuille Flow, Physical Review Letters, vol.2, issue.11, p.114502, 2003.
DOI : 10.1021/ma970859+

D. Bonn, F. Ingremeau, Y. Amarouchene, and H. Kellay, Large velocity fluctuations in small-Reynolds-number pipe flow of polymer solutions, Physical Review E, vol.84, issue.4, p.45301, 2011.
DOI : 10.1063/1.881555

URL : https://hal.archives-ouvertes.fr/hal-00667695

L. Pan, C. Morozov, P. Wagner, and . Arratia, Nonlinear Elastic Instability in Channel Flows at Low Reynolds Numbers, Physical Review Letters, vol.110, issue.17, p.174502, 2013.
DOI : 10.1126/science.1203223

J. Helen and . Wilson, Shear flow instabilities in viscoelastic fluids, 1998.

H. Bodiguel, J. Beaumont, A. Machado, L. Martinie, H. Kellay et al., Flow Enhancement due to Elastic Turbulence in Channel Flows of Shear Thinning Fluids, Physical Review Letters, vol.114, issue.2, p.28302, 2015.
DOI : 10.1063/1.2221501

URL : https://hal.archives-ouvertes.fr/hal-01105020

R. Poole, Elastic instabilities in parallel shear flows of a viscoelastic shear-thinning liquid, Physical Review Fluids, vol.1, issue.4, p.41301, 2016.
DOI : 10.1017/S0022112009005813

J. Helen and . Wilson, Open mathematical problems regarding non-newtonian fluids, Nonlinearity, vol.25, p.45, 2012.

L. Guo, H. Ralph, . Colby, P. Charles, . Lusignan et al., Physical Gelation of Gelatin Studied with Rheo-Optics, Macromolecules, vol.36, issue.26, pp.10009-10020, 2003.
DOI : 10.1021/ma034266c

A. Morozov, E. Saverio, and . Spagnolie, Introduction to Complex Fluids, Complex Fluids in Biological Systems, pp.3-52, 2015.
DOI : 10.1007/978-1-4939-2065-5_1

E. Morris, A. Cutler, D. Sb-ross-murphy, J. Rees, and . Price, Concentration and shear rate dependence of viscosity in random coil polysaccharide solutions, Carbohydrate Polymers, vol.1, issue.1, pp.5-21, 1981.
DOI : 10.1016/0144-8617(81)90011-4

G. Iooss, D. Daniel, and . Joseph, Elementary stability and bifurcation theory, 2012.

C. Combeaud, Etude des instabilités volumiques en extrusion de polystyrène etpolypropyì ene, 2004.

J. Christopher, . Petrie, M. Morton, and . Denn, Instabilities in polymer processing, AIChE Journal, vol.22, pp.209-236, 1976.

R. Tanner, A theory of die-swell, Journal of Polymer Science Part A-2: Polymer Physics, vol.8, issue.12, pp.2067-2078, 1970.
DOI : 10.1002/pol.1970.160081203

G. Lipscomb, R. Keunings, and M. Denn, Implications of boundary singularities in complex geometries, Journal of Non-Newtonian Fluid Mechanics, vol.24, issue.1, pp.85-96, 1987.
DOI : 10.1016/0377-0257(87)85005-X

A. Allal, B. Lavernhe, G. Vergnes, and . Marin, Relationships between molecular structure and sharkskin defect for linear polymers, Journal of Non-Newtonian Fluid Mechanics, vol.134, issue.1-3, pp.127-135, 2006.
DOI : 10.1016/j.jnnfm.2005.12.010

URL : https://hal.archives-ouvertes.fr/hal-00514104

L. Casanellas, A. Manuel, . Alves, J. Robert, S. Poole et al., The stabilizing effect of shear thinning on the onset of purely elastic instabilities in serpentine microflows, Soft Matter, vol.74, issue.6, pp.6167-6175, 2016.
DOI : 10.1039/F29787401818

URL : https://hal.archives-ouvertes.fr/hal-01333068

C. Wen, J. Robert, . Poole, P. Ashley, . Willis et al., Experimental evidence of symmetry-breaking supercritical transition in pipe flow of shear-thinning fluids, Physical Review Fluids, vol.2, issue.3, p.31901, 2017.
DOI : 10.1063/1.3065482