This is a preview of subscription content, log in via an institution to check access.
Further reading
Nonlinear Dynamics and Turbulence (general presentation)
J. Gleick,Chaos, New York: Viking Press (1987).
D. Ruelle,The Mathematical Intelligencer 2(3) (1980), 126–137.
Attractors
A. V. Babin and M. I. Vishik,J. Soviet Math, 28 (1982), 619–627.
A. V. Babin and M. I. Vishik,J. Math, Pures Appl. 62 (1983), 441–491.
P. Constantin and C. Foias,Comm. Pure Appl. Math. 38 (1985), 1–27.
P. Constantin, C. Foias and R. Temam,Memoirs Amer. Math. Soc. 314 (1985), andPhysica D 30 (1988), 284–296.
P. Constantin, C. Foias, O. Manley, and R. Temam,J. Fluid Mech. 150 (1985), 427–440.
C. Foias and R. Temam,J. Math. Pures Appl. 58 (1979), 339–368.
J. M. Ghidaglia and J. C. Saut,Equations aux dérivées partielles non linéaires dissipatives et systémes dynamiques, Paris: Hermann (1988).
J. K. Hale,Math. Surveys and Monographs, vol. 25, Providence, RI: Amer. Math. Soc. (1988).
E. Lieb,Comm. Math. Phys. 92 (1984), 473–480.
R. Mané,Lecture Notes in Math., vol. 898, New York: Springer-Verlag (1981).
J. Mallet-Paret,J. Differential Equations 22 (1976), 331.
M. Shub,Global Stability of Dynamical Systems, New York: Springer-Verlag (1987).
R. Temam,Infinite Dimensional Dynamical Systems in Mechanics and Physics, New York: Springer-Verlag (1988).
Inertial Manifolds
P. Constantin, C. Foias, B. Nicolaenko, and R. Temam,Appl. Math. Sciences, no. 70, New York: Springer-Verlag (1988).
E. Conway, D. Hoff, and J. Smoller,SIAM J. Appl. Math. 35 (1978), 1–16.
C. R. Dering, J. D. Gibbon, D. D. Holm, and B. Nicolaenko, vol. 99,Contemporary Mathematics, Providence, RI: Amer. Math. Soc. (1989).
C. Foias, B. Nicolaenko, G. R. Sell, and R. Temam,C.R. Acad. Sci. Paris, Série 1, 301 (1985), 285–288, andJ. Math. Pures Appl. 67 (1988), 197–226.
C. Foias, G. R. Sell, and R. Temam,C.R. Acad. Sci. Paris, Série 1, 301 (1985) 139–141, andJ. Differential Equations 73 (1988), 309–353.
J. Mallet-Paret and G. Sell,J. Amer. Math. Soc. 1 (1983).
B. Nicolaenko, vol. 99,Contemporary Mathematics, Providence, RI: Amer. Math. Soc. (1989).
J. C. Saut and R. Temam, Proceedings of the Luminy Conference,Math. Modelling Numerical Anal. 23 (1989).
Approximation of Inertial Manifolds
F. Baer and J. J. Tribbia,Mon. Wea. Rev. 105 (1977), 1536–1539.
E. Fabes, M. Luskin and G. R. Sell,J. Differential Equations, to appear.
C. Foias, M. S. Jolly, I. G. Kevrekides, G. R. Sell, and E. S. Titi,Physics Letters A 131 (1988), 433–436.
C. Foias, O. Manley, and R. Temam,Math. Modelling Numerical Anal. 22 (1988), 93-118. C. Foias, G. R. Sell, and E. S. Titi,J. Dynamics and Differential Equations (1989, to appear).
C. Foias and R. Temam,C.R. Acad. Sci. Paris, Série I, 307 (1988), 5–8, and 67–70.
C. Foias and R. Temam, The algebraic approximation of attractors: the finite dimensional case,Physica D 32 (1988), 163–182.
R. Mané,Lecture Notes in Math., vol. 597, New York: Springer-Verlag (1977) 361–378.
M. Marion, Thesis, University Paris-Sud, 1988.
M. Marion and R. Temam, Nonlinear Galerkin Methods,SIAM ]. Numerical Anal. (1988), to appear.
R. Temam,C.R. Acad. Sd. Paris, Série II, 306 (1988), 399–402.
R. Temam,Indiana Univ., Preprint no. 8809, 1988;Jour. Fac. Sci. of Tokyo, to appear.
R. Temam,Indiana Univ., Preprint no. 8812,1988;SIAM Jour. Numer. Anal, to appear.
E. S. Titi, MSI Preprint 88–119, 1988;Jour. Math. Anal, and Appl., to appear.
J. J. Tribbia,Mon. Wea. Rev., 107 (1979), 704–713 and 112 (1984), 278–284.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Temam, R. Inertial manifolds. The Mathematical Intelligencer 12, 68–74 (1990). https://doi.org/10.1007/BF03024036
Published:
Issue Date:
DOI: https://doi.org/10.1007/BF03024036