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.
Citation
Pitágoras Pinheiro de Carvalho. Enrique Fernández-Cara. "Weak-renormalized solutions for a simplified $k-\varepsilon$ model of turbulence." Differential Integral Equations 31 (11/12) 893 - 908, November/December 2018. https://doi.org/10.57262/die/1537840875
