Navier-Stokes equations in the whole space with an eddy viscosity - Archive ouverte HAL Access content directly
Journal Articles Journal of Mathematical Analysis and Applications Year : 2019

Navier-Stokes equations in the whole space with an eddy viscosity

Abstract

We study the Navier-Stokes equations with an extra eddy viscosity term in the whole space in three dimensions. We introduce a suitable regularized system for which we prove the existence of a regular solution defined for all time. We prove that when the regularizing parameter goes to zero, the solution of the regularized system converges to a turbulent solution of the initial system.
Fichier principal
Vignette du fichier
Leray_Turb_V4.pdf (493.99 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-01531260 , version 1 (07-11-2019)

Identifiers

Cite

Roger Lewandowski. Navier-Stokes equations in the whole space with an eddy viscosity. Journal of Mathematical Analysis and Applications, 2019, 478 (2), pp.698-742. ⟨10.1016/j.jmaa.2019.05.051⟩. ⟨hal-01531260⟩
231 View
65 Download

Altmetric

Share

Gmail Facebook Twitter LinkedIn More