@article{ASNSP_1998_4_26_1_1_0, author = {Fern\'andez-Cara, Enrique and Guill\'en, Francisco and Ortega, Rubens R.}, title = {Some theoretical results concerning non newtonian fluids of the {Oldroyd} kind}, journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze}, pages = {1--29}, publisher = {Scuola normale superiore}, volume = {Ser. 4, 26}, number = {1}, year = {1998}, mrnumber = {1633055}, zbl = {0914.76006}, language = {en}, url = {http://archive.numdam.org/item/ASNSP_1998_4_26_1_1_0/} }
TY - JOUR AU - Fernández-Cara, Enrique AU - Guillén, Francisco AU - Ortega, Rubens R. TI - Some theoretical results concerning non newtonian fluids of the Oldroyd kind JO - Annali della Scuola Normale Superiore di Pisa - Classe di Scienze PY - 1998 SP - 1 EP - 29 VL - 26 IS - 1 PB - Scuola normale superiore UR - http://archive.numdam.org/item/ASNSP_1998_4_26_1_1_0/ LA - en ID - ASNSP_1998_4_26_1_1_0 ER -
%0 Journal Article %A Fernández-Cara, Enrique %A Guillén, Francisco %A Ortega, Rubens R. %T Some theoretical results concerning non newtonian fluids of the Oldroyd kind %J Annali della Scuola Normale Superiore di Pisa - Classe di Scienze %D 1998 %P 1-29 %V 26 %N 1 %I Scuola normale superiore %U http://archive.numdam.org/item/ASNSP_1998_4_26_1_1_0/ %G en %F ASNSP_1998_4_26_1_1_0
Fernández-Cara, Enrique; Guillén, Francisco; Ortega, Rubens R. Some theoretical results concerning non newtonian fluids of the Oldroyd kind. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Serie 4, Volume 26 (1998) no. 1, pp. 1-29. http://archive.numdam.org/item/ASNSP_1998_4_26_1_1_0/
[1] Principles of Non-Newtonian Fluid Mechanics", McGraw Hill, New York, 1974.
- , "[2] Finite element approximation of viscoelastic fluid flow: Existence of approximate solutions and error bounds, Numer. Math. 63 (1992), 13-27. | EuDML | MR | Zbl
- ,[3] Numerical Simulation of Non-Newtonian Flow", Elsevier, Amsterdam, 1985. | MR | Zbl
- - , "[4] Ordinary differential equations, transport theory and Sobolev spaces, Invent. Math. 98 (1989), 511-547. | EuDML | MR | Zbl
- ,[5] Existence et unicité de solution forte locale en temps pour des fluides non newtoniens de type Oldroyd (version LS - Lr), C. R. Acad. Sci. Paris. Sér. I Math. 319 (1994), 411-416. | MR | Zbl
- - ,[6] Partial Differential Equations", Holt- Rinehart-Winston, New York, 1976. | MR | Zbl
, "[7] A unified approach to a variety of constitutive models for polymer fluids based on the concept of configuration dependent molecular mobility, Rheol. Acta 21 (1982), 366-375. | Zbl
,[8] Abstract LP estimates for the Cauchy problem with applications to the Navier-Stokes equations in exterior domains, J. Funct. Anal. 102 (1991), 72-94. | MR | Zbl
- ,[9] Existence results for the flow of viscoelastic fluids with a differential constitutive law, Nonlinear Anal. Vol. 15, No. 9, (1990), 849-869. | MR | Zbl
- ,[10] Global existence and one-dimensional nonlinear stability of shearing motions of viscoelastic fluids of Oldroyd type, Math. Mod. Numer. Anal. Vol. 24, No. 3, (1990), 369-401. | Numdam | MR | Zbl
- ,[11] The Mathematical Theory of Viscous Incompressible Flow", Gordon and Breach, New York, 1969. | MR | Zbl
, "[12] A critical comparison of constitutive equations for polymer melts, J. Non-Newtonian Fluid Mech. 23 (1987), 249-269.
,[13] Sur le mouvement d'une liquide visqueux emplissant l'espace, Acta Math. 63 (1934), 193-248. | JFM
,[14] Quelques Méthodes de Résolution des Problèmes aux Limites non Linéaires ", Dunod, Gauthier-Villars, Paris, 1969. | MR | Zbl
, "[15] On the formulation of rheological equations of state, Proc. Roy. Soc. London Ser. A 200 (1950), 523-541. | MR | Zbl
,[16] Non-Newtonian effects in steady motion of some idealized elastico-viscous liquids, Proc. Roy. Soc. London Ser. A 245 (1958), 278-297. | MR | Zbl
,[17] Thesis, University of Seville (Spain), 1995.
,[18] A new constitutive equation derived from network theory, J. Non-Newtonian Fluid Mech. 2 (1977), 353-365. | Zbl
- ,[19] Existence of slow flows of viscoelastic fluids with differential constitutive equations, Z. Angew. Math. Mech. 65 (1985), 449-451. | MR | Zbl
,[20] Mathematical Problems in Viscoelasticity", Longman, London, 1987. | MR | Zbl
- - , "[21] Approximation par éléments finis d'écoulements de fluides viscoélastiques: Existence de solutions approchées et majoration d'erreur II. Contraintes continues, C. R. Acad. Paris Sér. I Math. 313 (1991), 111-114. | MR | Zbl
,[22] Navier-Stokes Equations, Theory and Numerical Analysis", North-Holland, Amsterdam, 1977. | MR | Zbl
, "[23] Periodic and stationary solutions for compressible Navier-Stokes equations via a stability method, Ann. Scuola Norm. Sup. Pisa Cl. Sci. 10 (1983), 607-647. | Numdam | MR | Zbl
,[24] Navier-Stokes equations for compressible fluids: global estimates and periodic solutions, Proc. Sympos Pure Math. 45 (1986), 467-478. | MR | Zbl
,[25] K. WALTERS (ed.), "Rheometry: Industrial Applications", J. Wiley and Sons, 1980.