On the regularity of the bilinear term for solutions to the incompressible Navier-Stokes equations

Marco Cannone; Fabrice Planchon

doi:10.4171/rmi/268

JournalsrmiVol. 16, No. 1pp. 1–16

On the regularity of the bilinear term for solutions to the incompressible Navier-Stokes equations

Marco Cannone
Université Paris 7, Paris, France
- zbMATH Open
Fabrice Planchon
Institut Galilée, Université Paris 13, Villetaneuse, France
- MathSciNet
- zbMATH Open

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Abstract

We derive various estimates for strong solutions to the Navier-Stokes equations in $C (∣0, T)$ , $L^{3} (R^{3})$ that allow us to prove some regularity results on the kinematic bilinear term.

Cite this article

Marco Cannone, Fabrice Planchon, On the regularity of the bilinear term for solutions to the incompressible Navier-Stokes equations. Rev. Mat. Iberoam. 16 (2000), no. 1, pp. 1–16

DOI 10.4171/RMI/268