Equivalence of low frequency stability conditions for multidimensional detonations in three models of combustion Helge JenssenGregory LyngMark Williams 76L0535B35multidimensional detonationsstabilityEvans function We use the classical normal mode approach of hydrodynamic stability theory to define stability determinants (Evans functions) for multidimensional strong detonations in three commonly studied models of combustion: the full reactive Navier-Stokes ($\RNS$) model, and the simpler Zeldovich-von Neumann-D\"oring ($\ZND$) and Chapman-Jouguet (CJ) models. The determinants are functions of frequencies $(\lambda,\eta)$, where $\lambda$ is a complex variable dual to the time variable, and $\eta\in\bR^{d-1}$ is dual to the transverse spatial variables. The zeros of these determinants in $\Re\lambda>0$ correspond to perturbations that grow exponentially with time. Indiana University Mathematics Journal 2005 text pdf 10.1512/iumj.2005.54.2685 10.1512/iumj.2005.54.2685 en Indiana Univ. Math. J. 54 (2005) 1 - 64 state-of-the-art mathematics http://iumj.org/access/