Differential and Integral Equations

Weak-renormalized solutions for a simplified $k-\varepsilon$ model of turbulence

Pitágoras Pinheiro de Carvalho and Enrique Fernández-Cara

Full-text: Access denied (no subscription detected)

We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber. If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text

Abstract

The aim of this paper is to prove the existence of a weak-renormalized solution to a simplified model of turbulence of the $k-\varepsilon$ kind in spatial dimension $N=2$. The unknowns are the average velocity field and pressure, the mean turbulent kinetic energy and an appropriate time dependent variable. The motion equation and the additional PDE are respectively solved in the weak and renormalized senses.

Article information

Source
Differential Integral Equations, Volume 31, Number 11/12 (2018), 893-908.

Dates
First available in Project Euclid: 25 September 2018

Permanent link to this document
https://projecteuclid.org/euclid.die/1537840875

Mathematical Reviews number (MathSciNet)
MR3857870

Zentralblatt MATH identifier
06986984

Subjects
Primary: 35K60: Nonlinear initial value problems for linear parabolic equations 35Q30: Navier-Stokes equations [See also 76D05, 76D07, 76N10] 35Q35: PDEs in connection with fluid mechanics 76D05: Navier-Stokes equations [See also 35Q30] 76F30: Renormalization and other field-theoretical methods [See also 81T99] 80A22: Stefan problems, phase changes, etc. [See also 74Nxx]

Citation

Carvalho, Pitágoras Pinheiro de; Fernández-Cara, Enrique. Weak-renormalized solutions for a simplified $k-\varepsilon$ model of turbulence. Differential Integral Equations 31 (2018), no. 11/12, 893--908. https://projecteuclid.org/euclid.die/1537840875


Export citation