  We evaluate by direct calculation the Lopatinski determinant for ZND
detonations in Majda's model for reacting flow, and show that on the nonstable
(nonnegative real part) complex half-plane it has a single zero at the origin
of multiplicity one, implying stability. Together with results of Zumbrun on
the inviscid limit, this recovers the result of RoqueJoffre-Vila that viscous
detonations of Majda's model also are stable for sufficiently small viscosity,
for any fixed detonation strength, heat release, and rate of reaction.
