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Volumn 13, Issue 3, 2000, Pages 239-259

Galerkin approximation and the strong solution of the Navier-Stokes equation

Author keywords

Galerkin Method; It Integral; Stochastic Navier Stokes Equation

Indexed keywords


EID: 0005809918     PISSN: 10489533     EISSN: 16872177     Source Type: Journal    
DOI: 10.1155/S1048953300000228     Document Type: Article
Times cited : (76)

References (20)
  • 1
    • 0006504526 scopus 로고
    • Stochastic Navier-Stokes equations
    • Bensoussan, A., Stochastic Navier-Stokes equations, Acta Appl. Math. 38:3 (1995), 267-304.
    • (1995) Acta Appl. Math. , vol.38 , Issue.3 , pp. 267-304
    • Bensoussan, A.1
  • 3
    • 43949156954 scopus 로고
    • Stochastic equations in Hilbert space with application to Navier-Stokes equations in any dimension
    • Capinski, M. and Gatarek, D., Stochastic equations in Hilbert space with application to Navier-Stokes equations in any dimension, J. Funct. Anal. 126:1 (1994), 26-35.
    • (1994) J. Funct. Anal. , vol.126 , Issue.1 , pp. 26-35
    • Capinski, M.1    Gatarek, D.2
  • 4
    • 0012944457 scopus 로고
    • Time discretization of Ornstein-Uhlenbeck equations and stochastic Navier-Stokes equations with a generalized noise
    • Flandoli, F. and Tortorelli, V.M., Time discretization of Ornstein-Uhlenbeck equations and stochastic Navier-Stokes equations with a generalized noise, Stoch. and Stoch. Reports 55:1-2 (1995), 141-165.
    • (1995) Stoch. and Stoch. Reports , vol.55 , Issue.1-2 , pp. 141-165
    • Flandoli, F.1    Tortorelli, V.M.2
  • 5
    • 0003027298 scopus 로고    scopus 로고
    • Time-discretized Galerkin approximations of stochastic parabolic PDEs
    • Grecksch, W. and Kloeden, P.E., Time-discretized Galerkin approximations of stochastic parabolic PDEs, Bull. Austral. Math. Soc. 54 (1996), 79-85.
    • (1996) Bull. Austral. Math. Soc. , vol.54 , pp. 79-85
    • Grecksch, W.1    Kloeden, P.E.2
  • 6
    • 0000073124 scopus 로고    scopus 로고
    • Approximation of the stochastic Navier-Stokes equation
    • Grecksch, W. and Schmalfuß, B., Approximation of the stochastic Navier-Stokes equation, Compl. Appl. Math. 15:3 (1997), 227-239.
    • (1997) Compl. Appl. Math. , vol.15 , Issue.3 , pp. 227-239
    • Grecksch, W.1    Schmalfuß, B.2
  • 8
    • 0040176065 scopus 로고
    • On the approximation of stochastic partial differential equations I, II
    • Gyöngy, I., On the approximation of stochastic partial differential equations I, II., Stochastics 25:2 (1988), 53-85,
    • (1988) Stochastics , vol.25 , Issue.2 , pp. 53-85
    • Gyöngy, I.1
  • 9
    • 33846785362 scopus 로고
    • Stochastics 26:3 (1989), 129-164.
    • (1989) Stochastics , vol.26 , Issue.3 , pp. 129-164
  • 11
    • 0005842416 scopus 로고
    • Statistical solutions of the Navier-Stokes and Euler equations
    • (Russian)
    • Komech, A.I. and Vishik, M.I., Statistical solutions of the Navier-Stokes and Euler equations, Adv. in Mechanics 5:1-2 (1982), 65-120. (Russian)
    • (1982) Adv. in Mechanics , vol.5 , Issue.1-2 , pp. 65-120
    • Komech, A.I.1    Vishik, M.I.2
  • 12
    • 0002209615 scopus 로고
    • Ob evoljucionnych stochastičeskich uravnenijach
    • (Glavn. Red. R.V. Gamkrelidze), Serija sovremennych problemy matematiki VINITI, Moskva (Russian)
    • Krylov, N.V. and Rozovskij, B.L., Ob evoljucionnych stochastič eskich uravnenijach. In: Itogi nauki i techniki (Glavn. Red. R.V. Gamkrelidze), Serija sovremennych problemy matematiki 14, VINITI, Moskva 1979. (Russian).
    • (1979) Itogi Nauki I Techniki , vol.14
    • Krylov, N.V.1    Rozovskij, B.L.2
  • 14
    • 0003466526 scopus 로고
    • Equations aux derivées partielles stochastiques non linéaires monotones. Etude de solutions fortes de type Itô
    • Pardoux, E., Equations aux derivées partielles stochastiques non linéaires monotones. Etude de solutions fortes de type Itô, Thèse doct. Sci. Math. Univ. Paris 1975.
    • (1975) Thèse Doct. Sci. Math. Univ. Paris
    • Pardoux, E.1
  • 15
    • 84973006185 scopus 로고
    • Endlichdimensionale Approximation der stochastischen Navier-Stokes- Gleichung
    • Schmalfuß, B., Endlichdimensionale Approximation der stochastischen Navier-Stokes-Gleichung, Statistics 2 (1990), 149-157.
    • (1990) Statistics , vol.2 , pp. 149-157
    • Schmalfuß, B.1
  • 16
    • 26444550725 scopus 로고
    • Das Langzeitverhalten der stochastischen Navier-Stokes-Gleichung
    • Technische Hochschule Merseburg
    • Schmalfuß, B., Das Langzeitverhalten der stochastischen Navier-Stokes-Gleichung, Habilitationsschrift, Technische Hochschule Merseburg 1992.
    • (1992) Habilitationsschrift
    • Schmalfuß, B.1
  • 18
    • 26444598063 scopus 로고
    • Solution faible d'équation aux derivées partielles stochastiques non linéares
    • Paris
    • Viot, M., Solution faible d'équation aux derivées partielles stochastiques non linéares, Thèse doct. Sci. Math. Paris 1976.
    • (1976) Thèse Doct. Sci. Math.
    • Viot, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.