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Volumn 14, Issue 1-3, 1997, Pages 179-188

Convergent families of inertial manifolds for convergent approximations

Author keywords

Galerkin approximations; Inertial manifolds; Numerical approximations

Indexed keywords


EID: 0031534626     PISSN: 10171398     EISSN: None     Source Type: Journal    
DOI: 10.1023/a:1019113029997     Document Type: Article
Times cited : (4)

References (17)
  • 2
    • 0003368378 scopus 로고
    • Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations
    • Springer, New York
    • P. Constantin, C. Foias, B. Nicolaenko and R. Temam, Integral Manifolds and Inertial Manifolds for Dissipative Partial Differential Equations, Appl. Math. Sci. 70 (Springer, New York, 1988).
    • (1988) Appl. Math. Sci. , vol.70
    • Constantin, P.1    Foias, C.2    Nicolaenko, B.3    Temam, R.4
  • 3
    • 44949278926 scopus 로고
    • Inertial manifolds for partial differential evolution equations under time discretization: Existence, convergence, and applications
    • F. Demengel and J. M. Ghidaglia, Inertial manifolds for partial differential evolution equations under time discretization: existence, convergence, and applications, J. Math. Anal. Appl. 155 (1991) 177-225.
    • (1991) J. Math. Anal. Appl. , vol.155 , pp. 177-225
    • Demengel, F.1    Ghidaglia, J.M.2
  • 4
    • 0000640733 scopus 로고
    • Inertial manifolds for nonlinear evolution equations
    • C. Foias, G. R. Sell and R. Temam, Inertial manifolds for nonlinear evolution equations, J. Diff. Eq. 73 (1988) 309-353.
    • (1988) J. Diff. Eq. , vol.73 , pp. 309-353
    • Foias, C.1    Sell, G.R.2    Temam, R.3
  • 5
    • 0003304963 scopus 로고
    • Geometric Theory of Semilinear Parabolic Equations
    • Springer, New York
    • D. Henry, Geometric Theory of Semilinear Parabolic Equations, Lecture Notes in Math., Vol. 840 (Springer, New York, 1981).
    • (1981) Lecture Notes in Math. , vol.840
    • Henry, D.1
  • 6
    • 0000618153 scopus 로고
    • Order and complexity in the Kuramoto-Sivashinksy model of weakly turbulent interfaces
    • J. M. Hyman, B. Nicolaenko and S. Zaleski, Order and complexity in the Kuramoto-Sivashinksy model of weakly turbulent interfaces, Physica 18D (1986) 265-292.
    • (1986) Physica , vol.18 D , pp. 265-292
    • Hyman, J.M.1    Nicolaenko, B.2    Zaleski, S.3
  • 7
    • 0011601917 scopus 로고
    • On the behavior of attractors under finite-difference approximation
    • D. A. Jones, On the behavior of attractors under finite-difference approximation, Num. Func. Anal. Opt. 16 (1995) 1155-1180.
    • (1995) Num. Func. Anal. Opt. , vol.16 , pp. 1155-1180
    • Jones, D.A.1
  • 8
    • 0000868591 scopus 로고
    • Attractive invariant manifolds under approximation - Inertial manifolds
    • D. A. Jones and A. M. Stuart, Attractive invariant manifolds under approximation - inertial manifolds, J. Diff. Eq. 123 (1995) 588-637.
    • (1995) J. Diff. Eq. , vol.123 , pp. 588-637
    • Jones, D.A.1    Stuart, A.M.2
  • 9
    • 0042529257 scopus 로고    scopus 로고
    • Persistence of invariant sets for partial differential equations
    • to appear
    • D. A. Jones, A. M. Stuart and E. S. Titi, Persistence of invariant sets for partial differential equations, J. Diff. Eq., to appear.
    • J. Diff. Eq.
    • Jones, D.A.1    Stuart, A.M.2    Titi, E.S.3
  • 10
    • 0030143852 scopus 로고    scopus 로고
    • 1 approximation of inertial manifolds for dissipative nonlinear equations
    • 1 approximation of inertial manifolds for dissipative nonlinear equations, J. Diff. Eq. 127 (1996) 54-86.
    • (1996) J. Diff. Eq. , vol.127 , pp. 54-86
    • Jones, D.A.1    Titi, E.S.2
  • 12
    • 84988147742 scopus 로고
    • Approximation to solutions of evolution equations
    • P. D. Miletta, Approximation to solutions of evolution equations, Math. Meth. Appl. Sci. 17 (1994) 753-763.
    • (1994) Math. Meth. Appl. Sci. , vol.17 , pp. 753-763
    • Miletta, P.D.1
  • 13
    • 0043030171 scopus 로고
    • Inertial manifolds and the strong squeezing property
    • eds. V. G. Makhanov, A. R. Bishop and D. D. Holm World Scientific, Singapore
    • J. C. Robinson, Inertial manifolds and the strong squeezing property, in: Nonlinear Evolution Equations & Dynamical Systems, NEEDS '94, eds. V. G. Makhanov, A. R. Bishop and D. D. Holm (World Scientific, Singapore, 1995) pp. 178-187.
    • (1995) Nonlinear Evolution Equations & Dynamical Systems, NEEDS '94 , pp. 178-187
    • Robinson, J.C.1
  • 14
    • 0042529259 scopus 로고    scopus 로고
    • Some closure results for inertial manifolds
    • to appear
    • J. C. Robinson, Some closure results for inertial manifolds, J. Dyn. Diff. Eq., to appear.
    • J. Dyn. Diff. Eq.
    • Robinson, J.C.1
  • 15
    • 0042028434 scopus 로고    scopus 로고
    • Computing inertial manifolds
    • in preparation
    • J. C. Robinson, Computing inertial manifolds, SIAM J. Math. Anal., in preparation.
    • SIAM J. Math. Anal.
    • Robinson, J.C.1
  • 17
    • 0003238449 scopus 로고
    • Normally Hyperbolic Invariant Manifolds in Dynamical Systems
    • Springer, New York
    • S. Wiggins, Normally Hyperbolic Invariant Manifolds in Dynamical Systems, Appl. Math. Sci. 105 (Springer, New York, 1994).
    • (1994) Appl. Math. Sci. , vol.105
    • Wiggins, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.