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Volumn 5, Issue 1, 1999, Pages 117-136

Nonlinear stability and dynamical properties for a Kuramoto-Sivashinsky equation in space dimension two

Author keywords

Attractors; Dissipative dynamics; Existence of solutions; Kuramoto Sivashinsky equation

Indexed keywords


EID: 0033482878     PISSN: 10780947     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article
Times cited : (24)

References (9)
  • 1
    • 21144482383 scopus 로고
    • A global attracting set for the Kuramoto-Sivashinsky equation
    • P. Collet, J. P. Eckmann, H. Epstein, and J. Stubbe. A global attracting set for the Kuramoto-Sivashinsky equation. Commun. in Math. Phys., 152:203-214, 1993.
    • (1993) Commun. in Math. Phys. , vol.152 , pp. 203-214
    • Collet, P.1    Eckmann, J.P.2    Epstein, H.3    Stubbe, J.4
  • 2
    • 84990666077 scopus 로고
    • Stability of the Kuramoto-Sivashinsky and related systems
    • J. Goodman. Stability of the Kuramoto-Sivashinsky and related systems. Communications on Pure and Applied Mathematics, XLVII:293-306, 1994.
    • (1994) Communications on Pure and Applied Mathematics , vol.47 , pp. 293-306
    • Goodman, J.1
  • 3
    • 0041361841 scopus 로고
    • Periodical motion in tridimensional space of fluid films running down a vertical plane
    • A. A. Nepomnyashchy. Periodical motion in tridimensional space of fluid films running down a vertical plane. Hydrodynamics, Perm State Pedagogical Institute, VII:43-54, 1974.
    • (1974) Hydrodynamics, Perm State Pedagogical Institute , vol.7 , pp. 43-54
    • Nepomnyashchy, A.A.1
  • 4
    • 0041862619 scopus 로고
    • Stability of wave regimes in fluid film relative to tridimensional disturbances
    • A. A. Nepomnyashchy. Stability of wave regimes in fluid film relative to tridimensional disturbances. Perm State University, Notices, 316:91-104, 1974.
    • (1974) Perm State University, Notices , vol.316 , pp. 91-104
    • Nepomnyashchy, A.A.1
  • 5
    • 0002270864 scopus 로고
    • Order parameter equations for long-wavelenght instabilities
    • A. A. Nepomnyashchy. Order parameter equations for long-wavelenght instabilities. Physica D, 86:90-95, 1995.
    • (1995) Physica D , vol.86 , pp. 90-95
    • Nepomnyashchy, A.A.1
  • 6
    • 0001035921 scopus 로고
    • Some global dynamical properties of the Kuramoto-Sivashinsky equation: Nonlinear stability and attractors
    • B. Nicolaenko, B. Scheurer, and R. Temam. Some global dynamical properties of the Kuramoto-Sivashinsky equation: Nonlinear stability and attractors. Physica D, 16:155-183, 1985.
    • (1985) Physica D , vol.16 , pp. 155-183
    • Nicolaenko, B.1    Scheurer, B.2    Temam, R.3
  • 7
    • 0000520933 scopus 로고
    • Some global dynamical properties of a class of pattern formation equations
    • B. Nicolaenko, B. Scheurer, and R. Temam. Some global dynamical properties of a class of pattern formation equations. Commun. in Partial Differential Equations, 14(2):245-297, 1989.
    • (1989) Commun. in Partial Differential Equations , vol.14 , Issue.2 , pp. 245-297
    • Nicolaenko, B.1    Scheurer, B.2    Temam, R.3
  • 8
    • 0001237477 scopus 로고
    • The well-posedness of the Kuramoto-Sivashinsky equation
    • E. Tadmor. The well-posedness of the Kuramoto-Sivashinsky equation. SIAM J. Math. Anal, 17(4):884-893, 1986.
    • (1986) SIAM J. Math. Anal , vol.17 , Issue.4 , pp. 884-893
    • Tadmor, E.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.