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

Gómez Mármol, Macarena, and Ortegón Gallego, Francisco. "Coupling the Stokes and Navier–Stokes equations with two scalar nonlinear parabolic equations." ESAIM: Mathematical Modelling and Numerical Analysis 33.1 (2010): 157-167. <http://eudml.org/doc/197545>.

@article{GómezMármol2010,
abstract = { This work deals with a system of nonlinear parabolic equations arising in turbulence modelling. The unknowns are the N components of the velocity field u coupled with two scalar quantities θ and φ. The system presents nonlinear turbulent viscosity $A(\theta,\varphi)$ and nonlinear source terms of the form $\theta^2|\nabla u|^2$ and $\theta\varphi|\nabla u|^2$ lying in L1. Some existence results are shown in this paper, including $L^\infty$-estimates and positivity for both θ and φ. },
author = {Gómez Mármol, Macarena, Ortegón Gallego, Francisco},
journal = {ESAIM: Mathematical Modelling and Numerical Analysis},
keywords = {Nonlinear parabolic systems; Stokes and Navier-Stokes equations; nonlinear turbulent viscosity; nonlinear source terms; existence; positivity},
language = {eng},
month = {3},
number = {1},
pages = {157-167},
publisher = {EDP Sciences},
title = {Coupling the Stokes and Navier–Stokes equations with two scalar nonlinear parabolic equations},
url = {http://eudml.org/doc/197545},
volume = {33},
year = {2010},
}

TY - JOUR
AU - Gómez Mármol, Macarena
AU - Ortegón Gallego, Francisco
TI - Coupling the Stokes and Navier–Stokes equations with two scalar nonlinear parabolic equations
JO - ESAIM: Mathematical Modelling and Numerical Analysis
DA - 2010/3//
PB - EDP Sciences
VL - 33
IS - 1
SP - 157
EP - 167
AB - This work deals with a system of nonlinear parabolic equations arising in turbulence modelling. The unknowns are the N components of the velocity field u coupled with two scalar quantities θ and φ. The system presents nonlinear turbulent viscosity $A(\theta,\varphi)$ and nonlinear source terms of the form $\theta^2|\nabla u|^2$ and $\theta\varphi|\nabla u|^2$ lying in L1. Some existence results are shown in this paper, including $L^\infty$-estimates and positivity for both θ and φ.
LA - eng
KW - Nonlinear parabolic systems; Stokes and Navier-Stokes equations; nonlinear turbulent viscosity; nonlinear source terms; existence; positivity
UR - http://eudml.org/doc/197545
ER -