@article{M2AN_1997__31_2_185_0,
author = {Le Meur, Herv\'e},
title = {Non-uniqueness and linear stability of the one-dimensional flow of multiple viscoelastic fluids},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis - Mod\'elisation Math\'ematique et Analyse Num\'erique},
volume = {31},
year = {1997},
pages = {185-211},
mrnumber = {1437120},
zbl = {0870.76005},
language = {en},
url = {http://dml.mathdoc.fr/item/M2AN_1997__31_2_185_0}
}
Le Meur, Hervé. Non-uniqueness and linear stability of the one-dimensional flow of multiple viscoelastic fluids. ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique, Tome 31 (1997) pp. 185-211. http://gdmltest.u-ga.fr/item/M2AN_1997__31_2_185_0/
[1] & , 1990, "Global existence and one-dimensional non linear stabihty of shearing motions of viscoelastic fluids of Oldroyd type", M2AN Vol 24, n° 3, 369-401. | Numdam | MR 1055305 | Zbl 0701.76011
[2] , , & , 1987, "On the stability of viscoelastic parallel shear flows", Technical Report, F.R.O.G. Michigan Technological University.
[3] & , 1990, "Existence results for the flow of viscoelastic fluids with a differential constitutive law". Nonlinear Analysis Theory, Methods & Applications, Vol. 15, No 9, 849-869. | MR 1077577 | Zbl 0729.76006
[4] & , 1972, Trans. Soc. Rheol., 16, 79. | Zbl 0368.76006
[5] , 1992, "Capillary instability due to a shear stress on the free surface of a viscoelastic fluid layer", J. Non-Newtonian Fluid Mech., 45, 171-186. | Zbl 0761.76021
[6] & , 1986, "Linear stability of plane Couette flow of an Upper Convected Maxwell fluid", J. Non-Newtonian Fluid Mech., 22, 23-33. | Zbl 0608.76006
[7] & , 1992, "An experimental investigation of interfacial instabilities in multilayer flow of viscoelastic fluids. I. Incompatible polymer Systems", J. Non-Newtonian Fluid Mech., 45, 355-384.
[8] , 1994, Existence, unicité et stabilité d'écoulements de fluides viscoélastiques avec interface, PhD Thesis of University Paris-Sud Orsay.
[9] , Fluid dynamics of Visco Elastic liquids, Applied Mathematical Sciences 84 Springer Verlag. | MR 1051193 | Zbl 0698.76002
[10] , 1976, Stability of fluid motions, Vol. I, II Springer. | MR 627612 | Zbl 0345.76023
[11] & , 1977, "A new constitutive equation derived from network theory", J. Non-Newtonian Fluid Mech, 2, 353-365. | Zbl 0361.76011
[12] , Viscoélasticité non linéaire : Rhéologie et modélisation numérique, Ecoles CEA-EDF-INRIA, 27-30/01/ 1992.
[13] & , 1984, "Numerical simulation of the flow of a viscoelastic fluid through an abrupt contraction", J. Non Newtonian Fluid Mech., 14, 279 299. | Zbl 0531.76013
[14] , "On the linear stability of parallel shear flows of viscoelastic fluids of Jeffreys type". to appear.
[15] , 1993, "On the type of certain C0 Semigroups", Comm. Part. Diff. Eq., 18 (7 & 8), 1299-1307. | MR 1233196 | Zbl 0801.47029
[16] , 1974, Applied and Computational Complex Analysis, vol. I, John Wiley, New-York. | MR 372162 | Zbl 0313.30001