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Volumn 330, Issue 1, 2007, Pages 550-570

Dynamics for the stochastic nonlocal Kuramoto-Sivashinsky equation

Author keywords

Hausdorff dimension; Hilbert transform; Nonlocal term; Random attractor

Indexed keywords


EID: 33846913252     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1016/j.jmaa.2006.07.091     Document Type: Article
Times cited : (19)

References (21)
  • 1
    • 0003273943 scopus 로고    scopus 로고
    • Random Dynamical System
    • Springer, Berlin
    • Arnold L. Random Dynamical System. Springer Monogr. Math. (1998), Springer, Berlin
    • (1998) Springer Monogr. Math.
    • Arnold, L.1
  • 3
    • 0001642365 scopus 로고    scopus 로고
    • Upper semicontinuity of attractors for random perturbations of dynamical systems
    • Caraballo T., Langa J.A., and Robinson J.C. Upper semicontinuity of attractors for random perturbations of dynamical systems. Comm. Partial Differential Equations 23 (1998) 1557-1581
    • (1998) Comm. Partial Differential Equations , vol.23 , pp. 1557-1581
    • Caraballo, T.1    Langa, J.A.2    Robinson, J.C.3
  • 4
    • 21144482383 scopus 로고
    • A global attracting set for the Kuramoto-Sivashinsky equation
    • Collet P., Eckmann J.P., Epstein H., and Stubbe J. A global attracting set for the Kuramoto-Sivashinsky equation. Comm. Math. Phys. 152 (1993) 203-214
    • (1993) Comm. Math. Phys. , vol.152 , pp. 203-214
    • Collet, P.1    Eckmann, J.P.2    Epstein, H.3    Stubbe, J.4
  • 6
    • 0002057037 scopus 로고    scopus 로고
    • Global random attractors are uniquely determined by attracting deterministic compact set
    • Crauel H. Global random attractors are uniquely determined by attracting deterministic compact set. Ann. Mat. Pura Appl. (4) 176 (1999) 57-72
    • (1999) Ann. Mat. Pura Appl. (4) , vol.176 , pp. 57-72
    • Crauel, H.1
  • 7
    • 0035322004 scopus 로고    scopus 로고
    • Random point attractors versus random set attractors
    • Crauel H. Random point attractors versus random set attractors. J. London Math. Soc. (2) 63 (2001) 413-427
    • (2001) J. London Math. Soc. (2) , vol.63 , pp. 413-427
    • Crauel, H.1
  • 8
  • 10
    • 0032325270 scopus 로고    scopus 로고
    • Hausdorff dimension of a random invariant set
    • Debussche A. Hausdorff dimension of a random invariant set. J. Math. Pures Appl. 77 (1998) 967-988
    • (1998) J. Math. Pures Appl. , vol.77 , pp. 967-988
    • Debussche, A.1
  • 11
    • 0000203971 scopus 로고    scopus 로고
    • Dynamics of a nonlocal Kuramoto-Sivashinsky equation
    • Duan J., and Vincent J. Dynamics of a nonlocal Kuramoto-Sivashinsky equation. J. Differential Equations 143 (1998) 243-266
    • (1998) J. Differential Equations , vol.143 , pp. 243-266
    • Duan, J.1    Vincent, J.2
  • 12
    • 0035314229 scopus 로고    scopus 로고
    • On the stochastic Kuramoto-Sivashinsky equation
    • Duan J., and Vincent J. On the stochastic Kuramoto-Sivashinsky equation. Nonlinear Anal. (2) 44 (2001) 205-216
    • (2001) Nonlinear Anal. (2) , vol.44 , pp. 205-216
    • Duan, J.1    Vincent, J.2
  • 13
    • 51249165861 scopus 로고
    • Attractors and transients for a perturbed periodic KdV equation: A nonlinear spectral analysis
    • Ercolani N.M., McLaughlin D.W., and Poitner H. Attractors and transients for a perturbed periodic KdV equation: A nonlinear spectral analysis. J. Nonlinear Sci. 3 (1993) 477-539
    • (1993) J. Nonlinear Sci. , vol.3 , pp. 477-539
    • Ercolani, N.M.1    McLaughlin, D.W.2    Poitner, H.3
  • 14
    • 0000845958 scopus 로고    scopus 로고
    • Nonlinear electrohydrodynamic waves on films falling down an inclined plane
    • Gonzalez A., and Castellanos A. Nonlinear electrohydrodynamic waves on films falling down an inclined plane. Phys. Rev. E 53 (1996) 3573-3578
    • (1996) Phys. Rev. E , vol.53 , pp. 3573-3578
    • Gonzalez, A.1    Castellanos, A.2
  • 15
    • 0000944744 scopus 로고
    • On the formation of dissipative structures in reaction-diffusion systems
    • Kuramoto Y., and Tsuzuki T. On the formation of dissipative structures in reaction-diffusion systems. Progr. Theoret. Phys. Suppl. 54 (1975) 687-699
    • (1975) Progr. Theoret. Phys. Suppl. , vol.54 , pp. 687-699
    • Kuramoto, Y.1    Tsuzuki, T.2
  • 16
    • 0001149866 scopus 로고    scopus 로고
    • Noisy Kuramoto-Sivashinsky equation for an erosion model
    • Lauritsen K.B., Cuerno R., and Makse H.A. Noisy Kuramoto-Sivashinsky equation for an erosion model. Phys. Rev. E 54 (1996) 3577-3580
    • (1996) Phys. Rev. E , vol.54 , pp. 3577-3580
    • Lauritsen, K.B.1    Cuerno, R.2    Makse, H.A.3
  • 17
    • 0001035921 scopus 로고
    • Some global properties of the Kuramoto-Sivashinsky equation: Nonlinear stability and attractors
    • Nicolaenko B., Scheurer B., and Temam R. Some global properties of the Kuramoto-Sivashinsky equation: Nonlinear stability and attractors. Phys. D 16 (1985) 155-183
    • (1985) Phys. D , vol.16 , pp. 155-183
    • Nicolaenko, B.1    Scheurer, B.2    Temam, R.3
  • 20
    • 0031530247 scopus 로고    scopus 로고
    • The stochastic attractor of the stochastic Lorenz system
    • Schmalfuss B. The stochastic attractor of the stochastic Lorenz system. Z. Angew. Math. Phys. 48 (1997) 951-975
    • (1997) Z. Angew. Math. Phys. , vol.48 , pp. 951-975
    • Schmalfuss, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.