Local existence of strong solutions to the $k-\varepsilon$ model equations for turbulent flows

Baoquan Yuan; Guoquan Qin

Local existence of strong solutions to the $k-\varepsilon$ model equations for turbulent flows

Analysis of PDEs 2015-11-25 v2

Authors: Baoquan Yuan , Guoquan Qin

Abstract

In this paper, we are concerned with the local existence of strong solutions to the $k-\varepsilon$ model equations for turbulent flows in a bounded domain $\Omega$ $\subset$ $\mathbb{R}^{3}$ . We prove the existence of unique local strong solutions under the assumption that turbulent kinetic energy and the initial density both have lower bounds away from zero.

Keywords

k-epsilon model turbulent flows strong solutions local existence Navier-Stokes equations bounded domain

Cite

@article{arxiv.1507.03083,
  title  = {Local existence of strong solutions to the $k-\varepsilon$ model equations for turbulent flows},
  author = {Baoquan Yuan and Guoquan Qin},
  journal= {arXiv preprint arXiv:1507.03083},
  year   = {2015}
}

Comments

23 pages

Related papers

View all related →