Asymptotic behavior of global solutions to the Navier–Stokes equations in $\mathbb R^3$

Fabrice Planchon

doi:10.4171/rmi/235

JournalsrmiVol. 14, No. 1pp. 71–93

Asymptotic behavior of global solutions to the Navier–Stokes equations in $R^{3}$

Fabrice Planchon
Institut Galilée, Université Paris 13, Villetaneuse, France

$Asymptotic behavior of global solutions to the Navier–Stokes equations in $\mathbb R^3$ cover$

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Abstract

We construct global solutions to the NavierStokes equations with initial data small in a Besov space. Under additional assumptions we show that they behave asymptotically like self-similar solutions.

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Fabrice Planchon, Asymptotic behavior of global solutions to the Navier–Stokes equations in $R^{3}$ . Rev. Mat. Iberoam. 14 (1998), no. 1, pp. 71–93

DOI 10.4171/RMI/235