27 citations · 42 across the 9 of their papers we have counts for
4 papers · 1 filter
Lyapunov exponents of the Kuramoto-Sivashinsky PDE
Russell A. Edson, J. E. Bunder, Trent W. Mattner +1
The Kuramoto-Sivashinsky equation is a prototypical chaotic nonlinear partial differential equation (PDE) in which the size of the spatial domain plays the role of a bifurcation pa…
Slowly varying, macroscale models emerge from microscale dynamics over multiscale domains
A. J. Roberts, J. E. Bunder
Many physical systems are well described on domains which are relatively large in some directions but relatively thin in other directions. In this scenario we typically expect the…
Boundary conditions for macroscale waves in an elastic system with microscale heterogeneity
Chen Chen, A. J. Roberts, J. E. Bunder
Multiscale modelling aims to systematically construct macroscale models of materials with fine microscale structure. However, macroscale boundary conditions are typically not syste…
Macroscale boundary conditions for a non-linear heat exchanger
Chen Chen, A. J. Roberts, J. E. Bunder
Multiscale modelling methodologies build macroscale models of materials with complicated fine microscale structure. We propose a methodology to derive boundary conditions for the m…