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Volumn 154, Issue 1-2, 2001, Pages 1-14

On the non-homogeneous stationary Kuramoto-Sivashinsky equation

Author keywords

Global attractor; Kuramoto Sivashinsky equations; Michelson's constant

Indexed keywords


EID: 0035369467     PISSN: 01672789     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0167-2789(01)00219-6     Document Type: Article
Times cited : (16)

References (17)
  • 3
    • 11744315490 scopus 로고
    • Analyticity for the Kuramotu–Sivashinsky equation
    • P. Collet J.-P. Eckmann H. Epstein J. Stubbe Analyticity for the Kuramotu–Sivashinsky equation Physica D 67 1993 321 326
    • (1993) Physica D , vol.67 , pp. 321-326
    • Collet, P.1    Eckmann, J.-P.2    Epstein, H.3    Stubbe, J.4
  • 4
    • 0001754750 scopus 로고    scopus 로고
    • Collections of heteroclinic cycles in the Kuramoto–Sivashinsky equation
    • S.P. Dawson A.M. Mancho Collections of heteroclinic cycles in the Kuramoto–Sivashinsky equation Physica D 100 3–4 1997 231 256
    • (1997) Physica D , vol.100 , Issue.3–4 , pp. 231-256
    • Dawson, S.P.1    Mancho, A.M.2
  • 5
    • 85120118528 scopus 로고    scopus 로고
    • C. Foias, B. Nicolaenko, G.R. Sell, R. Temam, Inertial manifolds for the Kuramoto–Sivashinsky equation and an estimate of their lowest dimension, J. Math. Pure Appl. (9) 67 (3) (1988) 197–226.
  • 6
    • 84990666077 scopus 로고
    • Stability of Kuramoto–Sivashinsky and related systems
    • J. Goodman Stability of Kuramoto–Sivashinsky and related systems Commun. Pure Appl. Math. 47 1994 293 306
    • (1994) Commun. Pure Appl. Math. , vol.47 , pp. 293-306
    • Goodman, J.1
  • 7
    • 0000469013 scopus 로고    scopus 로고
    • Space analyticity for the Navier–Stokes and related equations with initial data in Lp
    • p J. Funct. Anal. 152 2 1998 447 466
    • (1998) J. Funct. Anal. , vol.152 , Issue.2 , pp. 447-466
    • Grujic, Z.1    Kukavica, I.2
  • 8
    • 85120114168 scopus 로고    scopus 로고
    • J.M. Hyman, B. Nicolaenko, The Kuramoto–Sivashinsky equation: a bridge between PDEs and dynamical systems, Physica D 18 (1–3) (1986) 113–126 (Solitons and Coherent Structures, Santa Barbara, CA, 1985).
  • 9
    • 0001152487 scopus 로고
    • Global analysis of the phase portrate for the Kuramoto–Sivashinsky equation
    • J.S. Il’yashenko Global analysis of the phase portrate for the Kuramoto–Sivashinsky equation J. Dyn. Diff. Equation 4 1992 585 615
    • (1992) J. Dyn. Diff. Equation , vol.4 , pp. 585-615
    • Il’yashenko, J.S.1
  • 10
    • 34047228827 scopus 로고
    • Approximate inertial manifolds for the Kuramoto–Sivashinsky equation: analysis and computations
    • M.S. Jolly I.G. Kevrekidis E.S. Titi Approximate inertial manifolds for the Kuramoto–Sivashinsky equation: analysis and computations Physica D 44 1–2 1990 38 60
    • (1990) Physica D , vol.44 , Issue.1–2 , pp. 38-60
    • Jolly, M.S.1    Kevrekidis, I.G.2    Titi, E.S.3
  • 11
    • 0000507179 scopus 로고
    • Persistent propagation of concentration waves in dissipative media far from thermal equilibrium
    • Y. Kuramoto T. Tsuzuki Persistent propagation of concentration waves in dissipative media far from thermal equilibrium Prog. Theor. Phys. 55 1976 356 369
    • (1976) Prog. Theor. Phys. , vol.55 , pp. 356-369
    • Kuramoto, Y.1    Tsuzuki, T.2
  • 12
    • 25544449558 scopus 로고
    • Steady solutions of the Kuramoto–Sivashinsky equation
    • D. Michelson Steady solutions of the Kuramoto–Sivashinsky equation Physica D 19 1986 89 111
    • (1986) Physica D , vol.19 , pp. 89-111
    • Michelson, D.1
  • 13
    • 0001035921 scopus 로고
    • Some global dynamical properties of the Kuramoto–Sivashinsky equation: nonlinear stability and attractors
    • B. Nicolaenko B. Scheurer R. Temam Some global dynamical properties of the Kuramoto–Sivashinsky equation: nonlinear stability and attractors Physica D 16 1985 155 183
    • (1985) Physica D , vol.16 , pp. 155-183
    • Nicolaenko, B.1    Scheurer, B.2    Temam, R.3
  • 14
    • 0018702717 scopus 로고
    • Stability and fluctuations of spatially periodic flow
    • Y. Pomeau P. Manneville Stability and fluctuations of spatially periodic flow Phys. Lett. 40 1979 609 612
    • (1979) Phys. Lett. , vol.40 , pp. 609-612
    • Pomeau, Y.1    Manneville, P.2
  • 15
    • 0000815930 scopus 로고
    • Nonlinear analysis of hydrodynamic instability in laminar flame. I. Derivation of basic equations
    • G. Sivashinsky Nonlinear analysis of hydrodynamic instability in laminar flame. I. Derivation of basic equations Acta Astron. 4 1977 1117 1206
    • (1977) Acta Astron. , vol.4 , pp. 1117-1206
    • Sivashinsky, G.1
  • 16
    • 0037844692 scopus 로고
    • Weak turbulence in periodic flows
    • G. Sivashinsky Weak turbulence in periodic flows Physica D 17 1985 243 255
    • (1985) Physica D , vol.17 , pp. 243-255
    • Sivashinsky, G.1
  • 17
    • 85120098455 scopus 로고    scopus 로고
    • R. Temam, Infinite-dimensional Dynamical Systems in Mechanics and Physics, Applied Mathematical Sciences, Vol. 68, Springer, Berlin, 1988.


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.