Decay rate to contact discontinuities for the one-dimensional compressible Euler-Fourier system with a reacting mixture

In this paper, we investigate the nonlinear stability of contact waves to Cauchy problem compressible Euler-Fourier system with a reacting mixture in one dimension under non-zero mass condition. If corresponding Riemann for Euler admits discontinuity solution, it is shown that wave nonlinearly stable, while strength and initial perturbation are suitably small. Especially, obtain decay rate by using anti-derivative methods elaborated energy estimates.