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 Ω⊂R3 by the bootstrap argument provided that the viscosity coefficients λ and μ satisfy that 7λ>9μ and the initial data ρ0 and u0 satisfy that ‖ρ0‖L∞(Ω) and ‖ρ0|u0|5‖L1(Ω) are sufficiently small.