  The most commonly accepted progenitor system for Type Iax supernovae (SNe
Iax) is the partial deflagration of a near-Chandrasekhar-mass white dwarf (WD)
accreting from a non-degenerate helium donor star, leaving a bound remnant
following the explosion. In this paper, we investigate whether the WD remant
can undergo multiple SNe during the system's lifetime. We use Modules for
Experiments in Astrophysics (MESA) to evolve various single-degenerate binaries
to determine which could plausibly undergo multiple SNe Iax due to multiple
helium accretion phases. We also investigate the possibility for a subsequent
Type Ia SN after the formation of a double WD system. Our work concludes that
close binaries with relatively high-mass donors produce the highest probability
for several thermonuclear SNe.
