Currently displaying 1 – 3 of 3

Showing per page

Order by Relevance | Title | Year of publication

Coupling the Stokes and Navier–Stokes equations with two scalar nonlinear parabolic equations

Macarena Gómez Mármol;  Francisco Ortegón Gallego — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

This work deals with a system of nonlinear parabolic equations arising in turbulence modelling. The unknowns are the components of the velocity field coupled with two scalar quantities and . The system presents nonlinear turbulent viscosity A ( θ , ϕ ) and nonlinear source terms of the form θ 2 | ∇ u | 2 and θ ϕ | ∇ u | 2 lying in . Some existence results are shown in this paper, including L ∞ -estimates and positivity for both and .

Page 1

Download Results (CSV)