Displaying similar documents to “On the regularity of the bilinear term for solutions to the incompressible Navier-Stokes equations.”

Self-similar solutions in weak L-spaces of the Navier-Stokes equations.

Oscar A. Barraza (1996)

Revista Matemática Iberoamericana

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The most important result stated in this paper is a theorem on the existence of global solutions for the Navier-Stokes equations in R when the initial velocity belongs to the space weak L(R) with a sufficiently small norm. Furthermore, this fact leads us to obtain self-similar solutions if the initial velocity is, besides, an homogeneous function of degree -1. Partial uniqueness is also discussed.

A generalization of a theorem by Kato on Navier-Stokes equations.

Marco Cannone (1997)

Revista Matemática Iberoamericana

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We generalize a classical result of T. Kato on the existence of global solutions to the Navier-Stokes system in C([0,∞);L(R)). More precisely, we show that if the initial data are sufficiently oscillating, in a suitable Besov space, then Kato's solution exists globally. As a corollary to this result, we obtain a theory of existence of self-similar solutions for the Navier-Stokes equations.

On the small time asymptotics of the two-dimensional stochastic Navier–Stokes equations

Tiange Xu, Tusheng Zhang (2009)

Annales de l'I.H.P. Probabilités et statistiques

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In this paper, we establish a small time large deviation principle (small time asymptotics) for the two-dimensional stochastic Navier–Stokes equations driven by multiplicative noise, which not only involves the study of the small noise, but also the investigation of the effect of the small, but highly nonlinear, unbounded drifts.