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Currently displaying 1 – 3 of 3

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 — 1999

ESAIM: Mathematical Modelling and Numerical Analysis - Modélisation Mathématique et Analyse Numérique

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 $θ^{2} {| \nabla u |}^{2}$ and ${θ ϕ | \nabla u |}^{2}$ lying in . Some existence results are shown in this paper, including $L^{\infty}$ -estimates and positivity for both and .

A doubly degenerate elliptic system

González Montesinos, María Teresa; Francisco, Ortegón Gallego — 2002

Equadiff 10

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