Local existence of strong solutions to the k-ε model equations for turbulent flows

2015/07/11 by Baoquan Yuan, Yuan, Baoquan, Guoquan Qin +1
Mathematics · #35Q35 #76F60 #76N10 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #FOS: Mathematics #Navier-Stokes equation solutions #Nonlinear Partial Differential Equations

paper · pdf · doi:10.48550/arxiv.1507.03083

openalex publication_date 2015/07/11 · openalex created_date 2019/06/27 · openalex updated_date 2026/07/28

Abstract

In this paper, we are concerned with the local existence of strong solutions to the k-ε model equations for turbulent flows in a bounded domain Ω⊂ ℝ³. 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.

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