212
Kuramoto-Sivashinsky equation and an estimate of their lowest dimension, J. Math.
Pures Appl., 67, 197-226.
c. Foias, G.R. Sell and R. Temam
(1985), Varietes inertielles des equations differentielles dissipatives, C.R. Acad. Sci.
Paris, Serie I, 301, 139-142.
(1988), Inertial manifolds for nonlinear evolutionary equations, J. Diff. Equ., 73, 309353.
C. Foias, G.R. Sell and E. Titi (1989), Exponential tracking and approximation of
inertial manifolds for dissipative equations, J. Dynamics and Diff. Equ., 1, 199-244.
C. Foias and R. Temam
(1988), The algebraic approximation of attractors ; the finite dimensional case, Physica
D, 32, 163-182.
(1989), Gevrey class regularity for the solutions of the Navier-Stokes equations, J. Funet.
Anal., 87, 359-369.
(1994), Approximation of at tractors by algebraic or analytic sets, SIAM J. Math. Anal.,
25,5, 1269-1302.
I.C. Gohberg and M.G. Krein (1969), Introduction to the theory of linear non selfadjoint
operators, Translations of Mathematical Monographs, vol. 18, Amer. Math. Soc.,
Providence.
D. Henry (1981), Geometric Theory of Semilinear Parabolic Equations, Lectures Notes
in Mathematics, vol. 840, Springer-Verlag, New York.
M.W. Hirsch and L.C. Pugh (1970), Stable Manifolds and Hyperbolic Sets, Proc. Symp.
Pure Math., 14, 133-163.
M.S. Jolly, I.G. Kevrekidis and E.S. Titi (1990), Approximate inertial manifolds for the
Kuramoto-Sivashinskyequation : analysis and computations, Physica D, 44, 38-60.
D. Jones (1995), A remark on quasi-stationary approximate inertial manifolds for the
Navier-Stokes equations, SIAM J. Math. Anal., to appear.
A. Kasahara (1982), Nonlinear normal mode initialization and the bounded derivative
method, Rev. of Geophysics and Space Physics, 20, 385-397.
V.E. Katznelson (1967), Conditions under which systems of eigenvectors of some classes
of operators form a basis, Funet. Anal. and its Appl., 1, 122-132, Translated from
Funktsional'nyi Analiz i Ego Prilozheniga, 1, 39-51.
Kuramoto-Sivashinsky equation and an estimate of their lowest dimension, J. Math.
Pures Appl., 67, 197-226.
c. Foias, G.R. Sell and R. Temam
(1985), Varietes inertielles des equations differentielles dissipatives, C.R. Acad. Sci.
Paris, Serie I, 301, 139-142.
(1988), Inertial manifolds for nonlinear evolutionary equations, J. Diff. Equ., 73, 309353.
C. Foias, G.R. Sell and E. Titi (1989), Exponential tracking and approximation of
inertial manifolds for dissipative equations, J. Dynamics and Diff. Equ., 1, 199-244.
C. Foias and R. Temam
(1988), The algebraic approximation of attractors ; the finite dimensional case, Physica
D, 32, 163-182.
(1989), Gevrey class regularity for the solutions of the Navier-Stokes equations, J. Funet.
Anal., 87, 359-369.
(1994), Approximation of at tractors by algebraic or analytic sets, SIAM J. Math. Anal.,
25,5, 1269-1302.
I.C. Gohberg and M.G. Krein (1969), Introduction to the theory of linear non selfadjoint
operators, Translations of Mathematical Monographs, vol. 18, Amer. Math. Soc.,
Providence.
D. Henry (1981), Geometric Theory of Semilinear Parabolic Equations, Lectures Notes
in Mathematics, vol. 840, Springer-Verlag, New York.
M.W. Hirsch and L.C. Pugh (1970), Stable Manifolds and Hyperbolic Sets, Proc. Symp.
Pure Math., 14, 133-163.
M.S. Jolly, I.G. Kevrekidis and E.S. Titi (1990), Approximate inertial manifolds for the
Kuramoto-Sivashinskyequation : analysis and computations, Physica D, 44, 38-60.
D. Jones (1995), A remark on quasi-stationary approximate inertial manifolds for the
Navier-Stokes equations, SIAM J. Math. Anal., to appear.
A. Kasahara (1982), Nonlinear normal mode initialization and the bounded derivative
method, Rev. of Geophysics and Space Physics, 20, 385-397.
V.E. Katznelson (1967), Conditions under which systems of eigenvectors of some classes
of operators form a basis, Funet. Anal. and its Appl., 1, 122-132, Translated from
Funktsional'nyi Analiz i Ego Prilozheniga, 1, 39-51.