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Volumn 244, Issue 1, 2004, Pages 187-208

A Statistical Approach to the Asymptotic Behavior of a Class of Generalized Nonlinear Schrödinger Equations

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EID: 0742305909     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-003-0978-2     Document Type: Article
Times cited : (10)

References (35)
  • 1
    • 0004483953 scopus 로고
    • Invariant measures for some partial differential equations
    • Bidegaray, B.: Invariant measures for some partial differential equations. Physica D 82, 340-364 (1995)
    • (1995) Physica D , vol.82 , pp. 340-364
    • Bidegaray, B.1
  • 2
    • 0004147488 scopus 로고    scopus 로고
    • Monte Carlo Simulation in Statistical Physics. Fourth edition
    • Berlin: Springer-Verlag
    • Binder, K., Heermann, D.W.: Monte Carlo Simulation in Statistical Physics. Fourth edition. Springer Series in Solid-State Sciences, Vol. 80, Berlin: Springer-Verlag, 2002
    • (2002) Springer Series in Solid-state Sciences , vol.80
    • Binder, K.1    Heermann, D.W.2
  • 4
    • 0038368243 scopus 로고
    • Nonlinear Magnetohydrodynamics
    • Cambridge: Cambridge Univ. Press
    • Biskamp, D.: Nonlinear Magnetohydrodynamics. Cambridge Monographs in Plasma Physics. Cambridge: Cambridge Univ. Press, 1993
    • (1993) Cambridge Monographs in Plasma Physics
    • Biskamp, D.1
  • 5
    • 0005439311 scopus 로고
    • On the probability of large deviations in Banach spaces
    • Bolthausen, E.: On the probability of large deviations in Banach spaces. Ann. Probab. 12, 427-435 (1984)
    • (1984) Ann. Probab. , vol.12 , pp. 427-435
    • Bolthausen, E.1
  • 6
    • 0034339675 scopus 로고    scopus 로고
    • Derivation of maximum entropy principles in two-dimensional turbulence via large deviations
    • Boucher, C., Ellis, R.S., Turkington, B.: Derivation of maximum entropy principles in two-dimensional turbulence via large deviations. J. Stat. Phys 98, 1235-1278 (2000)
    • (2000) J. Stat. Phys , vol.98 , pp. 1235-1278
    • Boucher, C.1    Ellis, R.S.2    Turkington, B.3
  • 7
    • 21844511925 scopus 로고
    • Periodic nonlinear Schrödinger equation and invariant measures
    • Bourgain, J.: Periodic nonlinear Schrödinger equation and invariant measures. Commun. Math. Phys. 166, 1-26 (1994)
    • (1994) Commun. Math. Phys. , vol.166 , pp. 1-26
    • Bourgain, J.1
  • 8
    • 0037194271 scopus 로고    scopus 로고
    • Emergence of intense jets and Jupiter's Great Red Spot as maximum-entropy structures
    • Bouchet, F., Sommeria, J.: Emergence of intense jets and Jupiter's Great Red Spot as maximum-entropy structures. J. Fluid Mech. 464, 165-207 (2002)
    • (2002) J. Fluid Mech. , vol.464 , pp. 165-207
    • Bouchet, F.1    Sommeria, J.2
  • 10
    • 0034399126 scopus 로고    scopus 로고
    • Chaotic and turbulent behavior of unstable 1D nonlinear dispersive waves
    • Cai, D., McLaughlin, D.W.: Chaotic and turbulent behavior of unstable 1D nonlinear dispersive waves. J. Math. Phys. 41, 4125-4153 (2000)
    • (2000) J. Math. Phys. , vol.41 , pp. 4125-4153
    • Cai, D.1    McLaughlin, D.W.2
  • 12
    • 0035339034 scopus 로고    scopus 로고
    • Meta-stability of equilibrium statistical structures for prototype geophysical flows with damping and driving
    • DiBattista, M.T., Majda, A.J., Grote, M.J.: Meta-stability of equilibrium statistical structures for prototype geophysical flows with damping and driving. Physica D 151, 271-304 (2001)
    • (2001) Physica D , vol.151 , pp. 271-304
    • Dibattista, M.T.1    Majda, A.J.2    Grote, M.J.3
  • 13
    • 0028888141 scopus 로고
    • Dynamics of Jovian atmospheres
    • Dowling, T.E.: Dynamics of Jovian atmospheres. Ann. Rev. Fluid Mech. 27, 293-334 (1995)
    • (1995) Ann. Rev. Fluid Mech. , vol.27 , pp. 293-334
    • Dowling, T.E.1
  • 17
    • 0034557094 scopus 로고    scopus 로고
    • Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles
    • Ellis, R.S., Haven, K., Turkington, B.: Large deviation principles and complete equivalence and nonequivalence results for pure and mixed ensembles. J. Stat. Phys. 101, 999-1064 (2000)
    • (2000) J. Stat. Phys. , vol.101 , pp. 999-1064
    • Ellis, R.S.1    Haven, K.2    Turkington, B.3
  • 19
    • 0021786911 scopus 로고
    • Self-organization processes in continuous media
    • Hasegawa, A.: Self-organization processes in continuous media. Adv. Phys. 34, 1-42 (1985)
    • (1985) Adv. Phys. , vol.34 , pp. 1-42
    • Hasegawa, A.1
  • 20
    • 36449008527 scopus 로고
    • Isotopological relaxation, coherent structures, and Gaussian turbulence in two-dimensional magnetohydrodynamics
    • Isichenko, M.B., Gruzinov, A.V.: Isotopological relaxation, coherent structures, and Gaussian turbulence in two-dimensional magnetohydrodynamics. Phys. Plasmas 1, 1802-1816 (1994)
    • (1994) Phys. Plasmas , vol.1 , pp. 1802-1816
    • Isichenko, M.B.1    Gruzinov, A.V.2
  • 22
    • 0000612437 scopus 로고    scopus 로고
    • Self-organization in nonlinear wave turbulence
    • Jordan, R., Josserand, C.: Self-organization in nonlinear wave turbulence. Phys. Rev. E 61, 1527-1539 (2000)
    • (2000) Phys. Rev. E , vol.61 , pp. 1527-1539
    • Jordan, R.1    Josserand, C.2
  • 23
    • 0034924094 scopus 로고    scopus 로고
    • Statistical equilibrium states for the nonlinear Schrödinger equation
    • Jordan, R., Josserand, C.: Statistical equilibrium states for the nonlinear Schrödinger equation. Math. Comp. Simulation 55, 433-447 (2001)
    • (2001) Math. Comp. Simulation , vol.55 , pp. 433-447
    • Jordan, R.1    Josserand, C.2
  • 24
    • 0031138771 scopus 로고    scopus 로고
    • Ideal magnetofluid turbulence in two dimensions
    • Jordan, R., Turkington, B.: Ideal magnetofluid turbulence in two dimensions J. Stat. Phys. 87, 661-695 (1997)
    • (1997) J. Stat. Phys. , vol.87 , pp. 661-695
    • Jordan, R.1    Turkington, B.2
  • 25
    • 0347945240 scopus 로고    scopus 로고
    • A mean-field statistical theory for the nonlinear Schrödinger equation
    • Jordan, R., Turkington, B., Zirbel, C.L.: A mean-field statistical theory for the nonlinear Schrödinger equation. Physica D 137, 353-378 (2000)
    • (2000) Physica D , vol.137 , pp. 353-378
    • Jordan, R.1    Turkington, B.2    Zirbel, C.L.3
  • 26
    • 0035921187 scopus 로고    scopus 로고
    • The discrete nonlinear Schrödinger equation: A survey of recent results
    • Kevrekidis, P.O., Rasmussen, K.O., Bishop, A.R.: The discrete nonlinear Schrödinger equation: A survey of recent results. Int. J. Mod. Phys. B. 15, 2833-2900 (2001)
    • (2001) Int. J. Mod. Phys. B , vol.15 , pp. 2833-2900
    • Kevrekidis, P.O.1    Rasmussen, K.O.2    Bishop, A.R.3
  • 27
    • 0000557729 scopus 로고
    • Statistical mechanics of a nonlinear Schrödinger equation
    • Lebowitz, J.L., Rose, H.A., Speer, E.R.: Statistical mechanics of a nonlinear Schrödinger equation. J. Stat. Phys., 50, 657-687 (1988)
    • (1988) J. Stat. Phys. , vol.50 , pp. 657-687
    • Lebowitz, J.L.1    Rose, H.A.2    Speer, E.R.3
  • 28
    • 0004511516 scopus 로고    scopus 로고
    • A one-dimensional model for dispersive wave turbulence
    • Majda, A.J., McLaughlin, D.W., Tabak, E.G.: A one-dimensional model for dispersive wave turbulence. J. Nonlinear Sci. 7, 9-44 (1997)
    • (1997) J. Nonlinear Sci. , vol.7 , pp. 9-44
    • Majda, A.J.1    McLaughlin, D.W.2    Tabak, E.G.3
  • 29
    • 12044249336 scopus 로고
    • Jupiter's Great Red Spot and other vortices
    • Marcus, P.S.: Jupiter's Great Red Spot and other vortices. Annual Rev. Astronomy and Astrophys. 31, 523-573 (1993)
    • (1993) Annual Rev. Astronomy and Astrophys. , vol.31 , pp. 523-573
    • Marcus, P.S.1
  • 30
    • 21844524171 scopus 로고
    • Statistical mechanics of nonlinear wave equations IV. Cubic Schrödinger
    • McKean, H.P.: Statistical mechanics of nonlinear wave equations IV. Cubic Schrödinger. Commun. Math. Phys.168, 479-491 (1995)
    • (1995) Commun. Math. Phys. , vol.168 , pp. 479-491
    • McKean, H.P.1
  • 31
    • 84956263763 scopus 로고
    • Blow-up in nonlinear Schroedinger equations-I: A general review
    • Rasmussen, J.J., Rypdal, K.: Blow-up in nonlinear Schroedinger equations-I: A general review. Physica Scripta 33, 481-504 (1986)
    • (1986) Physica Scripta , vol.33 , pp. 481-504
    • Rasmussen, J.J.1    Rypdal, K.2
  • 32
    • 0032144291 scopus 로고    scopus 로고
    • Late states of incompressible 2d decaying vorticity fields
    • Segre, E., Kida, S.: Late states of incompressible 2d decaying vorticity fields. Fluid Dyn. Res. 23, 89-112 (1998)
    • (1998) Fluid Dyn. Res. , vol.23 , pp. 89-112
    • Segre, E.1    Kida, S.2
  • 35
    • 0004482706 scopus 로고
    • On an invariant measure for a nonlinear Schrödinger equation
    • Zhidkov, P.E.: On an invariant measure for a nonlinear Schrödinger equation. Soviet Math. Dokl. 43, 431-434 (1991)
    • (1991) Soviet Math. Dokl. , vol.43 , pp. 431-434
    • Zhidkov, P.E.1


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