Some questions related to the large time approximation, by wavelets and finite elements, of the solutions of dissipative evolution equations
[Quelques aspects de l'approximation pour les grands temps des solutions d'équations d'évolution dissipatives, par ondelettes et éléments finis]
Thèses d'Orsay, no. 314 (1992) , 88 p. 
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     author = {Goubet, Olivier},
     title = {Some questions related to the large time approximation, by wavelets and finite elements, of the solutions of dissipative evolution equations},
     series = {Th\`eses d'Orsay},
     publisher = {Universit\'e de Paris-Sud Centre d'Orsay},
     number = {314},
     year = {1992},
     language = {en},
     url = {http://www.numdam.org/item/BJHTUP11_1992__0314__P0_0/}
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Goubet, Olivier. Some questions related to the large time approximation, by wavelets and finite elements, of the solutions of dissipative evolution equations. Thèses d'Orsay, no. 314 (1992), 88 p. http://numdam.org/item/BJHTUP11_1992__0314__P0_0/

[DM] A. Debussche and M. Marion ; On the construction of families of approximate inertial manifolds, J. Diff. Equ., to appear. | MR | Zbl

[DJMT] T. Dubois, F. Jauberteau, M. Marion and R. Temam ; Subgrid modelling and the interaction of small and large wavelenghts in turbulent flows, Computer Physics Communications, 65 (1991) 100-106. | MR | Zbl | DOI

[DJT] T. Dubois, F. Jauberteau and R. Temam ; The nonlinear Galerkin method for the two and three dimensional Navier-Stokes equations, Proceedings of the 12th International Conference on Numerical Methods in Fluids Dynamics, Oxford, July 1990, edited by K.W. Morton, Lectures Notes in Physics, Springer Verlag. | MR

[FI] I. Flahaut ; Approximate inertial manifolds for the Sine-Gordon equation, J. Diff. and Integ. Equ., vol. 4, 6, 1991, 1169-1193. | MR | Zbl

[FJoKSTi] C. Foias, M.S. Jolly, I.G. Kevrekidis, G.R. Sell and E.S. Titi ; On the computation of inertial manifolds, Physics Letters, 131, 1988, 433-436. | MR | DOI

[FMT] C. Foias, O. Manley and R. Temam ; Modelling of the interaction of small and large eddies in two dimensional turbulent flows, Math. Mod. and Num. Anal., vol. 22, 1, 1988. | MR | Zbl | Numdam | DOI

[FST] C. Foias, G. Sell and R. Temam ; Inertial manifolds for nonlinear evolutionary equations, J. Diff. Equ., 73, 309-353, 1988. | MR | Zbl | DOI

[JRT] F. Jauberteau, C. Rosier and R. Temam ; A nonlinear Galerkin method for the Navier-Stokes equation, Comput. Meth. Appl. Mech. Eng. 80, 1990, 245. | MR | Zbl

[MT] M. Marion and R. Temam ; Nonlinear Galerkin methods ; the finite-elements case, Numer. Math., 57, 1-22, 1990. | MR | Zbl | DOI

[Me] Y. Meyer ; Ondelettes et opérateurs, Hermann, 1990. | Zbl

[Tl] R. Temam ; Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Springer-Verlag, New-York, Applied Mathematical Science Series, vol. 68, 1988. | MR | Zbl

[T2] R. Temam ; Attractors for the Navier-Stokes equations, Localization and Approximation, J. Fac. Sci. Tokyo, Sec. 1A, 629-647, 1989. | MR | Zbl

[T3] R. Temam ; Inertial manifolds and multigrid methods, SIAM J.Math. Anal., 21, 154-178, 1990. | MR | Zbl | DOI

[B] G. Battle, A block spin construction of ondelettes, Part I : Lemarié functions, Comm. Math. Phys, 110, p. 601-615, (1987). | MR | DOI

[D] I. Daubechies, Orthonormal basis of compactly supported wavelets, Comm. on Pure and Applied Math., Vol. XLI, p. 909-996, (1988). | MR | Zbl

[DeMa] A. Debussche and M. Marion, On the construction of families of approximate inertial manifolds, J. Diff. Eq., to appear. | MR | Zbl

[FI] I. Flahaut, Approximate inertial manifolds for the Sine-Gordon equation, J. Diff. and Int. Eq., 1169-1194, vol 4 (6), 1991. | MR | Zbl

[FMT] C. Foias, O. Manley and R. Temam, Modelling of the interaction of small and large eddies in two-dimensional turbulent flows, Math. Mod. and Num. Anal. (M2AN), 22, p. 93-114, (1988). | MR | Zbl | Numdam

[FNST] C. Foias, B. Nicolaenko, G. Sell and R. Temam, Inertial Manifolds for the Kuramoto-Sivashinsky equation and an estimate of their lowest dimension, J. Math. Pures et Appl., 67, p. 197-226, (1988). | MR | Zbl

[FST] C. Foias, G. Sell and R. Temam, Inertial Manifolds for nonlinear evolutionary equations, J. Diff. Equ., 73, p. 309-353, (1988). | MR | Zbl | DOI

[FSTi] C. Foias, G. Sell and E. Titi, Exponential tracking and approximation of inertial manifolds for dissipative nonlinear equations, J. Dyn. Diff. Eq., 1, 199-244 (1989). | MR | Zbl | DOI

[FT] C. Foias and R. Temam, Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations, J. Math. Pures et Appl., 58, p. 339-368, (1979). | MR | Zbl

[JM] S. Jaffard et Y. Meyer, Bases d'ondelettes dans des ouverts de ℛ n , J. Math. Pures et Appl., 68, p. 95-108, (1989). | MR | Zbl

[L] P. G. Lemarié, Ondelettes à localisation exponentielle, J. Math. Pures et Appl., 67, p. 227-236, (1988). | MR | Zbl

[LM] P. G. Lemarié et Y. Meyer, Ondelettes et bases hilbertiennes, Revista Matematica Iberoamericana, Vol. 2, p. 1-18, (1986). | MR | Zbl | DOI

[M] Y. Meyer, Ondelettes et Operateurs I : Ondelettes, Hermann 1990. | MR | Zbl

[MT] M. Marion and R. Temam, Nonlinear Galerkin Methods : The finite elements case, Numer. Math., 57, 205-226 (1990). | MR | Zbl | DOI

[P] K. Promislow, Time analycity and Gevrey regularity for solutions of a class of dissipative partial differential equations, J. Nonlinear Anal.: Theory, Methods and Applications, vol. 16, No 11, 959-980. | MR | Zbl | DOI

[T1] R. Temam, Infinite-Dimensional Dynamical Systems in Mechanics and Physics, Appl. Math. Sci., 68, Springer-Verlag, Berlin, New York, (1988). | MR | Zbl

[T2] R. Temam, Induced Trajectories and Approximate Inertial Manifolds, Math. Mod. and Num. Anal. (M2AN), 23, p. 541-561, (1989). | MR | Zbl | Numdam

[T3] R. Temam, Inertial Manifolds and Multigrid Methods, SIAM J. Math. Anal., 21, p. 154-178 (1990). | MR | Zbl | DOI

[T4] R. Temam, Attractors for the Navier-Stokes equations, localization and approximation, J. Fac. Sci. Tokyo, Sec 1a, 36, 629-647 (1989). | MR | Zbl

[A] P. Auscher ; thesis, CEREMADE 1989.

[B] H. Brezis ; Analyse Fonctionnelle, Masson, Paris, 1983. | MR | Zbl

[CT] M. Chen and R. Temam ; The incremental unknowns method I, II, Applied Mathematics Letters, 1991. | MR | Zbl

[DM] A. Debussche and M. Marion ; On the construction of families of approximate inertial manifolds, J. Diff. Equ., to appear. | MR | Zbl

[F] I. Flahaut ; Approximate inertial manifolds for the Sine Gordon equation, J. Diff. and Integ. Equ., to appear. | MR | Zbl

[FST] C. Foias, G. Sell and R. Temam ; Inertial manifolds for nonlinear evolutionary equations, J. Diff. Equ., 73, 309-353, 1988. | MR | Zbl | DOI

[O] O. Goubet ; Construction of approximate inertial manifolds using wavelets, submitted to SIAM J. Math. Anal. | MR | Zbl

[J1] S. Jaffard ; Construction of wavelets on open sets ; in Wavelets : Time-Frequencies Methods and Phases Spaces, Springer-Verlag, Berlin, Heidelberg, 1989. | MR | Zbl | DOI

[J2] S. Jaffard ; Wavelet methods for fast resolution of elliptic problems, LAMM Prépublication 90/5. | Zbl | DOI

[JM] S. Jaffard and Y. Meyer ; Bases d'ondelettes dans des ouverts de ℛ n , J. Math. Pures Appl., 68, 95-108, 1989. | MR | Zbl

[L] P.G. Lemarié ; La propriété de support minimal dans les analyses multi-résolution, C. R. Acad. Sci Paris, t. 312, Série I, 773-776, 1991. | MR | Zbl

[LM] J.L. Lions and E. Magenes ; Nonhomogeneous Boundary Value Problems and Applications, Springer-Verlag, New York, 1972. | MR | Zbl

[Ma] M. Marion ; Attractors for reaction-diffusion equations : existence and estimate of their dimension, Appl. Anal., 25, 101-147, 1987. | MR | Zbl

[MT1] M. Marion and R. Temam ; Nonlinear Galerkin methods, SIAM J. Num. Anal., 26, 1139-1157, 1989. | MR | Zbl | DOI

[MT2] M. Marion and R. Temam ; Nonlinear Galerkin methods ; the finite-elements case, Numer. Math., 57, 1-22, 1990. | MR | Zbl | DOI

[M] Y. Meyer ; Ondelettes et opérateurs, (I) Ondelettes, (II) Opérateurs de Calderon-Zygmund, Hermann, 1990. | MR | Zbl

[PT] K. Promislov and R. Temam ; Localization and approximation of attractors for the Ginzburg-Landau equation, J. Dynamic and Diff. Equ., to appear. | MR | Zbl

[T1] R. Temam ; Infinite Dimensional Dynamical Systems in Mechanics and Physics, Springer-Verlag, New York, Applied Mathematical Science Series, vol. 68, 1988. | MR | Zbl

[T2] R. Temam ; Attractors for the Navier-Stokes equations, Localization and Approximation, J. Fac. Sci. Tokyo, Sec. IA, 629-647, 1989. | MR | Zbl

[T3] R. Temam ; Inertial manifolds and multigrid methods, SIAM J. Math. Anal., 21, 154-178, 1990. | MR | Zbl | DOI

[T4] R. Temam ; Analyse Numérique, PUF, 1970. | Zbl

[Y] H. Yserentant ; On the multilevel splitting of finite elements spaces, Numer. Math., 49, 379-412, 1986. | MR | Zbl | DOI