Travelling Waves and Exponential Nonlinearities in the
Zeldovich-Frank-Kamenetskii Equation
Travelling Waves and Exponential Nonlinearities in the
Zeldovich-Frank-Kamenetskii Equation
We prove the existence of a family of travelling wave solutions in a variant of the $\textit{Zeldovich-Frank-Kamenetskii (ZFK) equation}$, a reaction-diffusion equation which models the propagation of planar laminar premixed flames in combustion theory. Our results are valid in an asymptotic regime which corresponds to a reaction with high activation …