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

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 $\mathrm{\Omega }\subset {\mathbb{R}}^3$ 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 $\mathrm{\parallel }{\rho }_0{\mathrm{\parallel }}_{L^{\mathrm{\infty }}(\mathrm{\Omega })}$ and $\mathrm{\parallel }{\rho }_0\mathrm{\mid }{u}_0{\mathrm{\mid }}^5{\mathrm{\parallel }}_{L^1(\mathrm{\Omega })}$ are sufficient small.