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arXiv · 1709.04119

Global strong solutions to the 3D full compressible Navier-Stokes system with vacuum in a bounded domain

Jishan Fan·Fucai Li
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Abstract

In this short paper we establish the global well-posedness of strong solutions to the 3D full compressible Navier-Stokes system with vacuum in a bounded domain $\Omega\subset \mathbb{R}^3$ by the bootstrap argument provided that the viscosity coefficients $\lambda$ and $\mu$ satisfy that $7\lambda>9\mu$ and the initial data $\rho_0$ and $u_0$ satisfy that $\|\rho_0\|_{L^\infty(\Omega)}$ and $\|\rho_0|u_0|^5\|_{L^1(\Omega)}$ are sufficient small.

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Jishan Fan, Fucai Li. 2017-09-13. Global strong solutions to the 3D full compressible Navier-Stokes system with vacuum in a bounded domain. https://arxiv.org/abs/1709.04119

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