On finite-dimensional projections of distributions for solutions of randomly forced 2D Navier–Stokes equations
A. Agrachev, S. Kuksin, A. Sarychev, A. Shirikyan (2007)
Annales de l'I.H.P. Probabilités et statistiques
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A. Agrachev, S. Kuksin, A. Sarychev, A. Shirikyan (2007)
Annales de l'I.H.P. Probabilités et statistiques
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Waymire, Edward C. (2005)
Probability Surveys [electronic only]
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Dragos Iftimie (1999)
Revista Matemática Iberoamericana
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In this paper we prove global existence and uniqueness for solutions of the 3-dimensional Navier-Stokes equations with small initial data in spaces which are H in the i-th direction, δ + δ + δ = 1/2, -1/2 < δ < 1/2 and in a space which is L in the first two directions and B in the third direction, where H and B denote the usual homogeneous Sobolev and Besov spaces.
John G. Heywood (1979)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Roger Temam, Xiaoming Wang (1997)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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Tosio Kato, Gustavo Ponce (1986)
Revista Matemática Iberoamericana
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In this paper we show that the Euler equation for incompressible fluids in R2 is well posed in the (vector-valued) Lebesgue spaces Ls p = (1 - ∆)-s/2 Lp(R2) with s > 1 + 2/p, 1 < p < ∞ and that the same is true of the Navier-Stokes equation uniformly in the viscosity ν.
Jens Frehse, Michael Růžička (1996)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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