  Minor mergers are common in galaxy clusters. They have the potential to
create sloshing cold fronts (SCFs) in the intracluster medium (ICM) of the
cluster. However, the resilience of SCFs to subsequent minor mergers is
unknown. Here we investigate the extent to which SCFs established by an
off-axis minor merger are disrupted by a subsequent minor merger. We perform a
suite of 13 hydrodynamic + N-body simulations of idealised triple cluster
mergers in which we vary the approach direction and impact parameter of the
tertiary cluster. Except for ~1 Gyr after the first core passage of the
tertiary cluster, clear SCFs are present in all merger configurations.
Subsequent head-on minor mergers reduce the number of SCFs significantly, while
subsequent off-axis minor mergers only moderately reduce the number of SCFs. In
particular, outer (>~500 kpc) SCFs are resilient. The results of this work
indicate that SCFs are easily formed in the course of a minor merger and are
long-lived even if a further minor merger takes place. SCFs thus should be
ubiquitous, but deriving the merger history of a given cluster based on its
observed SCFs might be more complex than previously thought.
