Nonlinear Stability of High Lewis Number Combustion Fronts

  title={Nonlinear Stability of High Lewis Number Combustion Fronts},
  author={Anna Ghazaryan}
In this paper a mathematical model is considered that describes combustion processes characterized by a very high Lewis number. The model is known to support a wavefront that asymptotically connects the completely burned and the unburned states, and that is unique up to translation. The stability of the front has not yet been investigated beyond the spectral level. The essential spectrum of the linearization of the system about the front touches to the imaginary axis, therefore, even in a… CONTINUE READING