text: The theory is well explained in the simplest possible model. Thus, assuming a one-step irreversible Arrhenius law for the combustion chemistry with constant density and transport properties and with unity Lewis number reactants, the governing equation for the non-dimensional temperature field  in the stagnation point flow reduces to
  where  is the mixture fraction,  is the Damköhler number,  is the activation temperature and the fuel mass fraction and oxidizer mass fraction are scaled with their respective feed stream values, given by
  with boundary conditions . Here,  is the unburnt temperature profile (frozen solution) and  is the stoichiometric parameter (mass of oxidizer stream required to burn unit mass of fuel stream). The four regime are analyzed by trying to solve above equations using activation energy asymptotics and Damköhler number asymptotics. The solution to above problem is multi-valued. Treating mixture fraction  as independent variable reduces the equation to
  with boundary conditions  and .