AbstractUnstable growth phenomena in spatially discrete wave equations are
studied. We characterize sets of initial states leading to instability and collapse and
obtain analytical predictions for the blow-up time. The theoretical predictions are con-
trasted with the numerical solutions computed by a variety of schemes. The behavior
of the systems in the continuum limit and the impact of discreteness and friction are
discussed.
Uniqueness and blow-up for a stochastic viscous dyadic model
