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

Baoquan Yuan; Guoquan Qin

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arXiv · 1507.03083

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

Baoquan Yuan·Guoquan Qin

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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.

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Baoquan Yuan, Guoquan Qin. 2015-07-11. Local existence of strong solutions to the $k-\varepsilon$ model equations for turbulent flows. https://arxiv.org/abs/1507.03083

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