@article{M2AN_1990__24_3_369_0, author = {Guillop\'e, C. and Saut, J.-C.}, title = {Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of {Oldroyd} type}, journal = {ESAIM: Mod\'elisation math\'ematique et analyse num\'erique}, pages = {369--401}, publisher = {AFCET - Gauthier-Villars}, address = {Paris}, volume = {24}, number = {3}, year = {1990}, mrnumber = {1055305}, zbl = {0701.76011}, language = {en}, url = {http://archive.numdam.org/item/M2AN_1990__24_3_369_0/} }
TY - JOUR AU - Guillopé, C. AU - Saut, J.-C. TI - Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type JO - ESAIM: Modélisation mathématique et analyse numérique PY - 1990 SP - 369 EP - 401 VL - 24 IS - 3 PB - AFCET - Gauthier-Villars PP - Paris UR - http://archive.numdam.org/item/M2AN_1990__24_3_369_0/ LA - en ID - M2AN_1990__24_3_369_0 ER -
%0 Journal Article %A Guillopé, C. %A Saut, J.-C. %T Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type %J ESAIM: Modélisation mathématique et analyse numérique %D 1990 %P 369-401 %V 24 %N 3 %I AFCET - Gauthier-Villars %C Paris %U http://archive.numdam.org/item/M2AN_1990__24_3_369_0/ %G en %F M2AN_1990__24_3_369_0
Guillopé, C.; Saut, J.-C. Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type. ESAIM: Modélisation mathématique et analyse numérique, Volume 24 (1990) no. 3, pp. 369-401. http://archive.numdam.org/item/M2AN_1990__24_3_369_0/
[1] Principles of Non-Newtonian Fluid Mechanics, McGraw-Hill, London, 1974.
, ,[2] Résultats d'existence pour des fluides viscoélastiques à loi de comportement de type différentiel. C.R. Acad. Sci. Paris, 305, série I (1987), 489-492, and article to appear in Nonlinear An., T.M.A. | MR | Zbl
, ,[3] Applied and Computational Complex Analysis, vol. I, John Wiley, New York, 1974. | MR | Zbl
,[4] Bifurcation et stabilité, Publications Mathématiques d'Orsay, 1973. | MR
,[5] Stability of Fluid Motions, vol. I and II, Springer, Berlin-Heidelberg-New York, 1976. | Zbl
,[6] Perturbation Theory for Linear Operators, Springer, Berlin-Heidel-berg-New York, 1966. | MR | Zbl
,[7] On the stability of viscoelastic parallel shear flows, Technical Report, F.R.O.G., Michigan Technological University, 1987.
, , , ,[8] Spurt phenomena of the Johnson-Segalman fluid and related models, J. Non-Newt. Fl. Mech., 29 (1988), 303-335.
, , , , ,[9] On the formulation of rheological equations of state, Proc. Roy. Soc. London, A 200 (1950), 523-541. | MR
,[10] Theoremi di tipo locale per il sistema di Navier-Stokes e la stabilita delle soluzione stazionarie, Rend. Sem. Univ. Padova, 32 (1962), 374-397. | Numdam | MR | Zbl
,[11] Mathematical Problems in Viscoelasticity, Longman, New York, 1987. | MR | Zbl
, , ,[12] Topics in Stability and Bifurcation Theory, Lectures Notes in Mathematics, 309, Springer, Berlin-Heidelberg-New York, 1973. | MR | Zbl
,[13] Behavior of complex fluids at solid boundaries, J. Non-Newt. Fl. Mech., 29 (1988), 85.
,[14] The stability of steady shear flows of some viscoelastic fluids, Chem. Eng. Sc., 25 (1970), 1891-1902.
, , ,[15] Viscoelastic fluid flow exhibiting hysteritic phase changes, Phys. Fluids 26 (1983), 2345-2351. | Zbl
, ,[16] Time-dependent shear flow of a non-Newtonian fluid, in Contemporary Mathematics, vol. 100, ed. W. B. Lindquist, A.M.S. (1989), 91-110. | MR | Zbl
, , ,