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Czechoslovak Mathematical Journal
Volumn 48, Issue 1, 1998, Pages 85-94
Compact attractor for weakly damped driven Korteweg-de Vries equations on the real line

(1)  Laurencot Ph a  

a CNRS   (France)
Author keywords

Attractor; Korteweg de Vries equation; Unbounded domain
Indexed keywords

EID: 17444438084     PISSN: 00114642     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022419728536     Document Type: Article
Times cited : (15)
References (12)
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    • Alarcón, E.A.1
  • 2
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    • [BV] A. V. Babin, M.I. Vishik: Attractors of partial differential evolution equations in an unbounded domain. Proc. Roy. Soc. Edinburgh 116A (1990), 221-243.
    • (1990) Proc. Roy. Soc. Edinburgh , vol.116 A , pp. 221-243
    • Babin, A.V.1    Vishik, M.I.2
  • 4
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    • Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces
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    • [BSc] J. Bona, R. Scott: Solutions of the Korteweg-de Vries equation in fractional order Sobolev spaces. Duke Math. J. 43 (1976), 87-99.
    • (1976) Duke Math. J. , vol.43 , pp. 87-99
    • Bona, J.1    Scott, R.2
  • 5
    • 0001119719 scopus 로고
    • The initial-value problem for the Korteweg-de Vries equation
    • [BSm]
    • [BSm] J.L. Bona, R. Smith: The initial-value problem for the Korteweg-de Vries equation. Philos. Trans. Roy. Soc. London 278A (1975), 555-604.
    • (1975) Philos. Trans. Roy. Soc. London , vol.278 A , pp. 555-604
    • Bona, J.L.1    Smith, R.2
  • 7
    • 0000616385 scopus 로고
    • Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time
    • [Gh1]
    • [Gh1] J.M. Ghidaglia: Weakly damped forced Korteweg-de Vries equations behave as a finite dimensional dynamical system in the long time. J. Diff. Eq. 74 (1988), 369-390.
    • (1988) J. Diff. Eq. , vol.74 , pp. 369-390
    • Ghidaglia, J.M.1
  • 8
    • 0001005263 scopus 로고
    • A note on the strong convergence towards attractors of damped forced KdV equation
    • [Gh2]
    • [Gh2] J.M. Ghidaglia: A note on the strong convergence towards attractors of damped forced KdV equation. J. Diff. Eq. 110 (1994), 356-359.
    • (1994) J. Diff. Eq. , vol.110 , pp. 356-359
    • Ghidaglia, J.M.1
  • 9
    • 0000160580 scopus 로고
    • Attractors for damped nonlinear hyperbolic equations
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    • [GT] J.M. Ghidaglia, R. Temam: Attractors for damped nonlinear hyperbolic equations. J. Math. Pures Appl. 66 (1987), 273-319.
    • (1987) J. Math. Pures Appl. , vol.66 , pp. 273-319
    • Ghidaglia, J.M.1    Temam, R.2
  • 10
    • 0003293929 scopus 로고
    • Asymptotic behavior of dissipative systems
    • [Ha]. Amer. Math. Soc., Providence, R.I.
    • [Ha] J.K. Hale: Asymptotic Behavior of Dissipative Systems. Math. Surveys and Monographs 25. Amer. Math. Soc., Providence, R.I., 1988.
    • (1988) Math. Surveys and Monographs , vol.25
    • Hale, J.K.1
  • 11
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    • Korteweg-de Vries equation and generalizations. II. Existence of conservation laws and constants of motion
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    • [MGK] R.M. Miura, C.S. Gardner, M.D. Kruskal: Korteweg-de Vries equation and generalizations. II. Existence of conservation laws and constants of motion. J. Math. Phys. 9 (1968), 1204-1209.
    • (1968) J. Math. Phys. , vol.9 , pp. 1204-1209
    • Miura, R.M.1    Gardner, C.S.2    Kruskal, M.D.3
  • 12
    • 0003278399 scopus 로고
    • Infinite-dimensional dynamical systems in mechanics and physics
    • [Te]. Springer-Verlag, New York
    • [Te] R. Temam: Infinite-dimensional dynamical systems in mechanics and physics. Appl. Math. Sc. 68. Springer-Verlag, New York, 1988.
    • (1988) Appl. Math. Sc. , vol.68
    • Temam, R.1

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.