ABSTRACT
In this chapter, the authors are interested in combining the zero relaxation with the zero dissipation limit of the Cauchy problem with the initial data. They study the singular limits of stiff relaxation and dominant diffusion for the Cauchy problem, that is, the relaxation time tends to zero faster than the diffusion parameter. The authors consider the stiff relaxation limit of solutions for the system of chemically reacting flow with the initial data.
