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Volumn 230, Issue 1, 2002, Pages 181-199

On the approximation of the stochastic Burgers equation

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EID: 0036025908     PISSN: 00103616     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00220-002-0704-5     Document Type: Article
Times cited : (11)

References (30)
  • 3
    • 0004046328 scopus 로고    scopus 로고
    • Stochastic partial differential equations and surface growth
    • [Bl]. Augsburg: Wißner-Verlag
    • [Bl] Blömker. D.: Stochastic Partial Differential Equations and Surface Growth. Volume 35 of Augsburger Mathematisch-Naturwissenschaftliche Schriften. Augsburg: Wißner-Verlag, 2000
    • (2000) Augsburger Mathematisch-Naturwissenschaftliche Schriften , vol.35
    • Blömker, D.1
  • 5
    • 0000711880 scopus 로고
    • Kolmogorov turbulence in a random-force-driven Burgers equation
    • [C-Y-95a]
    • [C-Y-95a] Chekhlov, A., Yakhot, V.: Kolmogorov turbulence in a random-force-driven Burgers equation. Phys. Rev. E 51(4), 2739-2742 (1995)
    • (1995) Phys. Rev. E , vol.51 , Issue.4 , pp. 2739-2742
    • Chekhlov, A.1    Yakhot, V.2
  • 6
    • 5544305346 scopus 로고
    • Kolmogorov turbulence in a random-force-driven Burgers equation: Anomalous scaling and probability density functions
    • [C-Y-95b]
    • [C-Y-95b] Chekhlov, A., Yakhot, V.: Kolmogorov turbulence in a random-force-driven Burgers equation: anomalous scaling and probability density functions. Phys. Rev. E 52(5), 5681-5684 (1995)
    • (1995) Phys. Rev. E , vol.52 , Issue.5 , pp. 5681-5684
    • Chekhlov, A.1    Yakhot, V.2
  • 7
    • 0035314229 scopus 로고    scopus 로고
    • On the stochastic Kuramoto-Shivashinsky equation
    • [D-E]
    • [D-E] Duan, J., Ervin, V.: On the stochastic Kuramoto-Shivashinsky equation. Nonlinear Anal. 44, 205-216 (2001)
    • (2001) Nonlinear Anal. , vol.44 , pp. 205-216
    • Duan, J.1    Ervin, V.2
  • 8
    • 4243603916 scopus 로고
    • Large distance and long time properties of a randomly stirred fluid
    • [F-N-S]
    • [F-N-S] Forster, D., Nelson, D, Stephen, M.: Large distance and long time properties of a randomly stirred fluid. Phys. Rev. A 16, 732-749 (1977)
    • (1977) Phys. Rev. A , vol.16 , pp. 732-749
    • Forster, D.1    Nelson, D.2    Stephen, M.3
  • 9
    • 0012944457 scopus 로고
    • Time discretization of Ornstein-Uhlenbeck equations and stochastic Navier-Stokes equations with a generalized noise
    • [F-T]
    • [F-T] Flandoli, F., Tortorelli, V.: Time discretization of Ornstein-Uhlenbeck equations and stochastic Navier-Stokes equations with a generalized noise. Stochastics and Stochastics Reports 55, 141-165 (1995)
    • (1995) Stochastics and Stochastics Reports , vol.55 , pp. 141-165
    • Flandoli, F.1    Tortorelli, V.2
  • 10
    • 0000073124 scopus 로고    scopus 로고
    • Approximation of the stochastic Navier-Stokes equation
    • [G-S]
    • [G-S] Grecksch, W., Schmalfuß, B.: Approximation of the stochastic Navier-Stokes equation. Comp. Appl. Math. 15(3), 227-239 (1996)
    • (1996) Comp. Appl. Math. , vol.15 , Issue.3 , pp. 227-239
    • Grecksch, W.1    Schmalfuß, B.2
  • 13
    • 0001121451 scopus 로고    scopus 로고
    • Multifractality in the stochastic Burgers equation
    • [H-J96]
    • [H-J96] Hayot, F., Jayaprakash, C.: Multifractality in the stochastic Burgers equation. Phys. Rev. E 54(5), 4681 (1996)
    • (1996) Phys. Rev. E , vol.54 , Issue.5 , pp. 4681
    • Hayot, F.1    Jayaprakash, C.2
  • 14
    • 0000492622 scopus 로고    scopus 로고
    • From scaling to multiscaling in the stochastic Burgers equation
    • [H-J97]
    • [H-J97] Hayot, F., Jayaprakash, C.: From scaling to multiscaling in the stochastic Burgers equation. Phys. Rev. E 56(4), 4259 (1997)
    • (1997) Phys. Rev. E , vol.56 , Issue.4 , pp. 4259
    • Hayot, F.1    Jayaprakash, C.2
  • 15
    • 0001197199 scopus 로고    scopus 로고
    • Structure functions in the stochastic Burgers Equation
    • [H-J97a]
    • [H-J97a] Hayot, F., Jayaprakash, C.: Structure functions in the stochastic Burgers Equation. Phys. Rev. E 56(1), 227 (1997)
    • (1997) Phys. Rev. E , vol.56 , Issue.1 , pp. 227
    • Hayot, F.1    Jayaprakash, C.2
  • 18
    • 0347374506 scopus 로고    scopus 로고
    • Introduction to renormalization group modeling of turbulence
    • [Or], T. Gatski, M. Hussaini, J. Lumley, eds., New York: Oxford Univ. Press
    • [Or] Orszag, S., et al.: Introduction to renormalization group modeling of turbulence. In: Simulation and Modeling of Turbulent Flows, ICASE/LaRC Series in Comp. Sci. and Eng., T. Gatski, M. Hussaini, J. Lumley, eds., New York: Oxford Univ. Press, 1996
    • (1996) Simulation and Modeling of Turbulent Flows, ICASE/LaRC Series in Comp. Sci. and Eng.
    • Orszag, S.1
  • 19
    • 0000455520 scopus 로고
    • Turbulence without pressure
    • [P]
    • [P] Polyakov, A.: Turbulence without pressure. Phys. Rev. E 52(6), 6183-6188 (1995)
    • (1995) Phys. Rev. E , vol.52 , Issue.6 , pp. 6183-6188
    • Polyakov, A.1
  • 21
    • 0003298203 scopus 로고
    • Stochastic equations in infinite dimensions
    • [P-Z-92]. Cambridge: Cambridge University Press
    • [P-Z-92] da Prato, G., Zabczyk, J.: Stochastic Equations in Infinite Dimensions. Volume 44 of Encyclopedia of Mathematics and its Applications. Cambridge: Cambridge University Press, 1992
    • (1992) Encyclopedia of Mathematics and Its Applications , vol.44
    • Da Prato, G.1    Zabczyk, J.2
  • 22
    • 0003250411 scopus 로고    scopus 로고
    • Ergodicity for infinite dimensional systems
    • [P-Z-96]. Cambridge: Cambridge University Press
    • [P-Z-96] da Prato, G., Zabczyk, J.: Ergodicity for Infinite Dimensional Systems. Volume 229 of London Mathematical Society Lecture Note Series. Cambridge: Cambridge University Press, 1996
    • (1996) London Mathematical Society Lecture Note Series , vol.229
    • Da Prato, G.1    Zabczyk, J.2
  • 23
    • 4243606485 scopus 로고
    • Zur approximation der stochastischen Navier-Stokesschen gleichungen
    • [S-85]
    • [S-85] Schmalfuß, B.: Zur Approximation der stochastischen Navier-Stokesschen Gleichungen. Wissenschaftliche Zeitschrift TH Leuna-Merseburg 27(5), 605-612 (1985)
    • (1985) Wissenschaftliche Zeitschrift TH Leuna-Merseburg , vol.27 , Issue.5 , pp. 605-612
    • Schmalfuß, B.1
  • 24
    • 84973006185 scopus 로고
    • Endlichdimensionale approximation der lösung der stochastischen Navier-Stokes-Gleichung
    • [S-90]
    • [S-90] Schmalfuß, B.: Endlichdimensionale Approximation der Lösung der stochastischen Navier-Stokes-Gleichung. Statistics 21(1), 149-157 (1990)
    • (1990) Statistics , vol.21 , Issue.1 , pp. 149-157
    • Schmalfuß, B.1
  • 25
    • 0003246899 scopus 로고    scopus 로고
    • Infinite-dimensional dynamical systems in mechanics and physics
    • [T]. Berlin-Heidelberg-New York: Springer
    • [T] Temam, R.: Infinite-dimensional Dynamical Systems in Mechanics and Physics. Volume 68 of Applied Mathematical Sciences. Second edition. Berlin-Heidelberg-New York: Springer, 1997
    • (1997) Applied Mathematical Sciences. Second Edition , vol.68
    • Temam, R.1
  • 26
    • 0012944458 scopus 로고    scopus 로고
    • An approximation theorem of Wong-Zakai type for stochastic Navier-Stokes equations
    • [Tw]
    • [Tw] Twardowska, K.: An approximation theorem of Wong-Zakai type for stochastic Navier-Stokes equations. Rend. Sem. Mat. Univ. Padova 96, 15-36 (1996)
    • (1996) Rend. Sem. Mat. Univ. Padova , vol.96 , pp. 15-36
    • Twardowska, K.1
  • 27
    • 6144286981 scopus 로고    scopus 로고
    • Algebraic tails of probability density functions in the random-force-driven Burgers turbulence
    • [Y-C-96]
    • [Y-C-96] Yakhot, V., Chekhlov, A.: Algebraic tails of probability density functions in the random-force-driven Burgers turbulence. Phys. Rev. Lett. 77(15), 3118-3121 (1996)
    • (1996) Phys. Rev. Lett. , vol.77 , Issue.15 , pp. 3118-3121
    • Yakhot, V.1    Chekhlov, A.2
  • 28
    • 0022983754 scopus 로고
    • Renormalization group (RNG) methods for turbulence closure
    • [Y-O]
    • [Y-O] Yakhot, V., Orszag, S.: Renormalization group (RNG) methods for turbulence closure. J. Scientific Computing 1, 3-52 (1986)
    • (1986) J. Scientific Computing , vol.1 , pp. 3-52
    • Yakhot, V.1    Orszag, S.2
  • 29
    • 0026804722 scopus 로고
    • Development of turbulence models for shear flows by a double expansion technique
    • [Y-O-T-S-G]
    • [Y-O-T-S-G] Yakhot, V., Orszag, S., Thangam, S., Speziale, C., Gatski, T.: Development of turbulence models for shear flows by a double expansion technique. Phys. Fluids A 4(7), 1510 (1992)
    • (1992) Phys. Fluids A , vol.4 , Issue.7 , pp. 1510
    • Yakhot, V.1    Orszag, S.2    Thangam, S.3    Speziale, C.4    Gatski, T.5
  • 30
    • 0000207858 scopus 로고
    • Long-time, large-scale properties of the random-force-driven Burgers equation
    • [Y-S]
    • [Y-S] Yakhot, V., She, Z.-S.: Long-time, large-scale properties of the random-force-driven Burgers equation. Phys. Rev. Lett. 60, 1840-1843 (1988)
    • (1988) Phys. Rev. Lett. , vol.60 , pp. 1840-1843
    • Yakhot, V.1    She, Z.-S.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.