Andrew Majda

ABSTRACT

Coupled continuum/stochastic lattice models for complex multi-scale 
phenomena are increasingly important in contemporary engineering and 
science with applications ranging from material science to tropical 
convection.  Here very recent systematic mathematical/computational 
strategies for coarse graining such systems will be described as well as 
the behavior of these and other families of coarse grained deterministic 
or stochastic closures in a simple family of models.  These models can 
have bifurcations in the continuum dynamics, metastable multiple phases in 
the lattice model, and highly intermittent bursting behavior through 
simple interaction of these competing effects.